1701 (number)

 ← 1700 1701 1702 →
Cardinal one thousand seven hundred one
Ordinal 1701st
(one thousand seven hundred first)
Factorization 35× 7
Divisors 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701
Greek numeral ,ΑΨΑ´
Roman numeral MDCCI
Binary 110101001012
Ternary 21000003
Quaternary 1222114
Quinary 233015
Senary 115136
Octal 32458
Duodecimal B9912
Vigesimal 45120
Base 36 1B936

1701 is the natural number preceding 1702 and following 1700.

In mathematics

1701 is an odd number and a Stirling number of the second kind.

The number 1701 also has unusual properties as it:

• belongs to a set of numbers such that ${\displaystyle n^{2}}$ contains exactly seven different digits.
• is a decagonal and a 13-gonal number.
• is divisible by the square of the sum of its digits.
• belongs to a set of numbers with only palindromic prime factors whose sum is palindromic.
• is a First Beale cipher.[1]
• belongs to a set of numbers whose digits of prime factors are either 3 or 7.
• its reversal digit sequence (1071) is divisible by 7.

References

1. ^ Jameson, W.C. (2013). The Silver Madonna and Other Tales of America's Greatest Lost Treasures. Lanham, Maryland: Taylor Trade Publishing, an imprint of The Rowman & Littlefield Publishing Group, Inc. p. 117. ISBN 1589798406.
2. ^ "anarchy golf - Harshad numbers". golf.shinh.org. Retrieved 2 August 2018.
3. ^ Robinson, Ben; Okuda, Marcus Riley ; technical consultant: Michael (2010). U.S.S. Enterprise NX-01, NCC-1701, NCC-1701-A to NCC-1701-E : owners' workshop manual (1st Gallery Books hardcover ed.). New York: Gallery Books. ISBN 1451621299.