# 8000 (number)

This article needs additional citations for verification. (June 2016) (Learn how and when to remove this template message) |

| ||||
---|---|---|---|---|

| ||||

Cardinal | eight thousand | |||

Ordinal |
8000th (eight thousandth) | |||

Factorization |
2^{6}× 5^{3} | |||

Greek numeral | ,Η´ | |||

Roman numeral | VMMM | |||

Unicode symbol(s) | VMMM, vmmm | |||

Binary |
1111101000000_{2} | |||

Ternary |
101222022_{3} | |||

Quaternary |
1331000_{4} | |||

Quinary |
224000_{5} | |||

Senary |
101012_{6} | |||

Octal |
17500_{8} | |||

Duodecimal |
4768_{12} | |||

Hexadecimal |
1F40_{16} | |||

Vigesimal |
1000_{20} | |||

Base 36 |
668_{36} |

**8000** (**eight thousand**) is the natural number following 7999 and preceding 8001.

8000 is the cube of 20, as well as the sum of four consecutive integers cubed, 11^{3} + 12^{3} + 13^{3} + 14^{3}.

The fourteen tallest mountains on Earth, which exceed 8000 meters in height, are sometimes referred to as eight-thousanders.^{[1]}

Also, the number NY hits in the their Trunk Show.

## Contents

## Selected numbers in the range 8001–8999[edit]

### 8001 to 8099[edit]

**8001**– triangular number**8002**– Mertens function zero**8011**– Mertens function zero, super-prime**8012**– Mertens function zero**8017**– Mertens function zero**8021**– Mertens function zero**8039**– safe prime**8059**– super-prime**8069**– Sophie Germain prime**8093**– Sophie Germain prime

### 8100 to 8199[edit]

**8100**– 90^{2}**8101**– super-prime**8111**– Sophie Germain prime**8117**– super-prime, balanced prime**8119**– octahedral number^{[2]}**8125**– pentagonal pyramidal number^{[3]}**8128**– perfect number, harmonic divisor number, 127th triangular number, 64th hexagonal number, eighth 292-gonal number, fourth 1356-gonal number**8147**– safe prime**8189**– highly cototient number**8190**– harmonic divisor number**8191**– Mersenne prime**8192**– power of two

### 8200 to 8299[edit]

**8208**– base 10 narcissistic number as 8^{4}+ 2^{4}+ 0^{4}+ 8^{4}= 8208^{[4]}**8221**– super-prime, twin prime**8233**– super-prime, centered heptagonal number**8243**– Sophie Germain prime**8256**– triangular number**8257**– sum of the squares of the first fourteen primes**8269**– cuban prime of the form*x*=*y*+ 1^{[5]}**8273**– Sophie Germain prime**8281**– 91^{2}, sum of the cubes of the first thirteen integers, nonagonal number, centered octagonal number**8287**– super-prime

### 8300 to 8399[edit]

**8321**– super-Poulet number^{[6]}**8326**– decagonal number^{[7]}**8361**– Leyland number^{[8]}**8377**– super-prime**8385**– triangular number**8389**– super-prime, twin prime

### 8400 to 8499[edit]

**8423**– safe prime**8436**– tetrahedral number^{[9]}**8464**– 92^{2}

### 8500 to 8599[edit]

**8513**– Sophie Germain prime, super-prime**8515**– triangular number**8527**– super-prime, sexy prime with 8521**8543**– safe prime**8555**– square pyramidal number^{[10]}**8576**– centered heptagonal number**8581**– super-prime

### 8600 to 8699[edit]

**8625**– enneagonal number**8646**– triangular number**8649**– 93^{2}, centered octagonal number**8658**- sum of the first four perfect numbers (6, 28, 496, 8128) and the product of the culturally significant 666 and 13**8663**– Sophie Germain prime**8693**– Sophie Germain prime**8695**– decagonal number**8699**– safe prime

### 8700 to 8799[edit]

**8712**– smallest number that is divisible by its reverse: 8712 = 4 × 2178 (excluding palindromes and numbers with trailing zeros)**8713**– balanced prime**8719**– super-prime**8741**– Sophie Germain prime**8747**– safe prime, balanced prime, super-prime**8751**– perfect totient number^{[11]}**8760**- the number of hours in a non-leap year; 365 × 24**8761**– super-prime**8778**– triangular number**8783**– safe prime**8784**- the number of hours in a leap year; 366 × 24

### 8800 to 8899[edit]

**8801**– magic constant of*n*×*n*normal magic square and*n*-Queens Problem for*n*= 26.**8807**– super-prime, sum of eleven consecutive primes (761 + 769 + 773 + 787 + 797 + 809 + 811 + 821 + 823 + 827 + 829)**8819**– safe prime**8833**– 88^{2}+ 33^{2}**8836**– 94^{2}**8839**– sum of twenty-three consecutive primes (313 + 317 + 331 + 337 + 347 + 349 + 353 + 359 + 367 + 373 + 379 + 383 + 389 + 397 + 401 + 409 + 419 + 421 + 431 + 433 + 439 + 443 + 449)**8849**– super-prime**8855**– member of a Ruth-Aaron pair (first definition) with 8856**8856**– member of a Ruth-Aaron pair (first definition) with 8855

### 8900 to 8999[edit]

**8911**– Carmichael number,^{[12]}triangular number**8923**– super-prime**8926**– centered heptagonal number**8944**– sum of the cubes of the first seven primes**8951**– Sophie Germain prime**8963**– safe prime**8969**– Sophie Germain prime**8976**– enneagonal number**8999**– super-prime

## References[edit]

**^**Voiland, Adam (16 December 2013). "The Eight-Thousanders".*The Earth Observatory*. NASA. Retrieved 12 September 2016.**^**"Sloane's A005900 : Octahedral numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-14.**^**"Sloane's A002411 : Pentagonal pyramidal numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-14.**^**"Sloane's A005188 : Armstrong (or Plus Perfect, or narcissistic) numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-14.**^**"Sloane's A002407 : Cuban primes".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-14.**^**"Sloane's A050217 : Super-Poulet numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-14.**^**"Sloane's A001107 : 10-gonal (or decagonal) numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-14.**^**"Sloane's A076980 : Leyland numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-14.**^**"Sloane's A000292 : Tetrahedral numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-14.**^**"Sloane's A000330 : Square pyramidal numbers".*The On-LIne Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-14.**^**"Sloane's A082897 : Perfect totient numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-14.**^**"Sloane's A002997 : Carmichael numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-14.