1701 (number)

Last updated
170017011702
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
Senary 115136
Octal 32458
Duodecimal B9912
Hexadecimal 6A516

1701 is the natural number preceding 1702 and following 1700.

Contents

In mathematics

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

The number 1701 also has unusual properties as it:

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.

Related Research Articles

A palindromic number is a number that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis. The term palindromic is derived from palindrome, which refers to a word whose spelling is unchanged when its letters are reversed. The first 30 palindromic numbers are:

11 (eleven) is the natural number following 10 and preceding 12. It is the first repdigit. In English, it is the smallest positive integer whose name has three syllables.

114 is the natural number following 113 and preceding 115.

100 or one hundred is the natural number following 99 and preceding 101.

1001 is the natural number following 1000 and preceding 1002.

300 is the natural number following 299 and preceding 301.

400 is the natural number following 399 and preceding 401.

666 is the natural number following 665 and preceding 667.

500 is the natural number following 499 and preceding 501.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10 it is a Harshad number. It is also the first number to be the square of a sphenic number.

2000 is a natural number following 1999 and preceding 2001.

10,000 is the natural number following 9,999 and preceding 10,001.

In mathematics, a harshad number in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base n are also known as n-harshad numbers. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. The word "harshad" comes from the Sanskrit harṣa (joy) + da (give), meaning joy-giver. The term "Niven number" arose from a paper delivered by Ivan M. Niven at a conference on number theory in 1977.

135 is the natural number following 134 and preceding 136.

In mathematics, the digit sum of a natural number in a given number base is the sum of all its digits. For example, the digit sum of the decimal number would be

100,000,000 is the natural number following 99,999,999 and preceding 100,000,001.

20,000 is the natural number that comes after 19,999 and before 20,001.

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". 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.