# 127 (number)

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Cardinal | one hundred twenty-seven | |||

Ordinal | 127th (one hundred twenty-seventh) | |||

Factorization | prime | |||

Prime | 31st | |||

Divisors | 1, 127 | |||

Greek numeral | ΡΚΖ´ | |||

Roman numeral | CXXVII | |||

Binary | 1111111_{2} | |||

Ternary | 11201_{3} | |||

Quaternary | 1333_{4} | |||

Quinary | 1002_{5} | |||

Senary | 331_{6} | |||

Octal | 177_{8} | |||

Duodecimal | A7_{12} | |||

Hexadecimal | 7F_{16} | |||

Vigesimal | 67_{20} | |||

Base 36 | 3J_{36} |

**127** (**one hundred [and] twenty-seven**) is the natural number following 126 and preceding 128. It is also a prime number.

## Contents

## In mathematics[edit]

- As a Mersenne prime, 127 is related to the perfect number 8128. 127 is also an exponent for another Mersenne prime 2
^{127}- 1, which was discovered by Édouard Lucas in 1876, and held the record for the largest known prime for 75 years - it is the largest prime ever discovered by hand calculations, as well as the largest known double Mersenne prime. Furthermore, 127 is equal to 2^{7}- 1, and 7 is equal to 2^{3}- 1, and 3 is the smallest Mersenne prime, this makes 7 the smallest double Mersenne prime and 127 the smallest triple Mersenne prime. - 127 is also a cuban prime of the form , .
^{[1]}The next prime is 131, with which it comprises a cousin prime. Because the next odd number, 129, is a semiprime, 127 is a Chen prime. 127 is greater than the arithmetic mean of its two neighboring primes, thus it is a strong prime.^{[2]} - 127 is a centered hexagonal number.
^{[3]} - It is the 7th Motzkin number.
^{[4]} - 127 is a palindromic prime in nonary and binary.
- It is the first nice Friedman number in base 10, since 127 = -1 + 2
^{7}, as well as binary since 1111111 = (1 + 1)^{111}- 1 * 1. - 127 is the sum of the sums of the divisors of the first 12 positive integers.
^{[5]} - 127 is the smallest prime that can be written as the sum of the first two or more odd primes: 127 = 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29.
^{[6]} - 127 is the smallest odd number that can't be written in the form p + 2
^{x}for p=prime number and x=integer, since 127 - 2^{0}= 126, 127 - 2^{1}= 125, 127 - 2^{2}= 123, 127 - 2^{3}= 119, 127 - 2^{4}= 111, 127 - 2^{5}= 95, and 127 - 2^{6}= 63 are all composite numbers.^{[7]} - 127 is an isolated prime where both p-2 and p+2 isn't prime.

## In the military[edit]

- USNS
*Mission San Luis Obispo*(T-AO-127) was a*Mission Buenaventura*-class fleet oilers during World War II - USS
*Admiral W. S. Sims*(AP-127) was a United States Navy transport ship - USS
*Allendale*(APA-127) was a United States Navy*Haskell*-class attack transport - USS
*Alnitah*(AK-127) was a United States Navy*Crater*-class cargo ship in World War II - USS
*Raccoon*(IX-127) was a United States Navy*Armadillo*-class tanker - USS
*Tumult*(AM-127) was a United States Navy*Auk*-class minesweeper for removing naval mines

## In religion[edit]

- The biblical figure Sarah died at the age of 127.
^{[8]} - According to the Book of Esther 1:1, the Persian Empire under Ahasuerus contained 127 provinces

## In transportation[edit]

- The small Fiat 127 automobile
- London Buses route 127 is a Transport for London contracted bus route in London
- 127 is the number of many roads, including U.S. Route 127
- STS-127 was a Space Shuttle
*Endeavour*mission to the International Space Station which launched on June 15, 2009

## In other fields[edit]

127 is also:

*127 Hours*is a film released in 2010- The year AD 127 or 127 BC
- 127 AH is a year in the Islamic calendar that corresponds to 744 – 745 CE
- 127 Johanna, a Main belt asteroid
- 127 film, a film format
- The atomic number of Unbiseptium, an element that has not yet been discovered
- The LZ 127
*Graf Zeppelin*, a dirigible - Sonnet 127 by William Shakespeare
- 127th Street Ensemble was a troupe of African-American actors which included Tupac Amaru Shakur
- In IP (Internet Protocol) Version 4, it is the last Class A network and is also the subnet used for loopback functionality in computer networking
- The highest signed 8-bit integer, using two's complement
- The non-printable "Delete" (DEL) control character in ASCII.

## See also[edit]

## References[edit]

**^**"Sloane's A002407 : Cuban primes".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-27.**^**"Sloane's A051634 : Strong primes".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-27.**^**"Sloane's A003215 : Hex (or centered hexagonal) numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-27.**^**"Sloane's A001006 : Motzkin numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-27.**^**Sloane, N.J.A. (ed.). "Sequence A024916 (sum_{k=1..n} sigma(k) where sigma(n) = sum of divisors of n)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.**^**Sloane, N.J.A. (ed.). "Sequence A071148".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.. Partial sums of sequence of odd primes; a(n) = sum of the first n odd primes.**^**Sloane, N.J.A. (ed.). "Sequence A006285 (Odd numbers not of form p + 2^x (de Polignac numbers))".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.**^**"Sara".*Catholic Encyclopedia*. Retrieved September 8, 2015.

- Wells, D.
*The Penguin Dictionary of Curious and Interesting Numbers*London: Penguin Group. (1987): 136 - 138