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1701 (number)

From Wikipedia, the free encyclopedia
← 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
Senary115136
Octal32458
DuodecimalB9912
Hexadecimal6A516

1701 is the natural number preceding 1702 and following 1700.

In mathematics

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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 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

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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

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  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". golf.shinh.org. Retrieved 2 August 2018.
  3. ^ Robinson, Ben; Riley, Marcus (2010). U.S.S. Enterprise NX-01, NCC-1701, NCC-1701-A to NCC-1701-E : owners' workshop manual. Technical consultant: Michael Okuda (1st Gallery Books hardcover ed.). New York: Gallery Books (Simon & Schuster). ISBN 978-1451621297.