1701 (number)

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Short description: Natural number
← 1700 1701 1702 →
Cardinalone thousand seven hundred one
Ordinal1701st
(one thousand seven hundred first)
Factorization35 × 7
Divisors1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701
Greek numeral,ΑΨΑ´
Roman numeralMDCCI
Binary110101001012
Ternary21000003
Quaternary1222114
Quinary233015
Senary115136
Octal32458
DuodecimalB9912
Hexadecimal6A516
Vigesimal45120
Base 361B936

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 [math]\displaystyle{ n^2 }[/math] 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.
  • is a Harshad number.[2]

In Star Trek

In the Star Trek science fiction franchise, NCC-1701 is the designation for several starships named USS Enterprise.[3] Several of these vessels are focal points in the fictional universe created by Gene Roddenberry.

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 978-1589798403. 
  2. "anarchy golf - Harshad numbers". http://golf.shinh.org/p.rb?Harshad+numbers. 
  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 978-1451621297.