1701 (number)

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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
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

Duodecimal base-12 number system

The duodecimal system is a positional notation numeral system using twelve as its base. The number twelve is instead written as "10" in duodecimal, whereas the digit string "12" means "1 dozen and 2 units". Similarly, in duodecimal "100" means "1 gross", "1000" means "1 great gross", and "0.1" means "1 twelfth".

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:

1001 is the natural number following 1000 and followed by 1002.

220 is the natural number following 219 and preceding 221.

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it is often written with a comma separating the thousands unit: 1,000.

300 is the natural number following 299 and preceding 301.

400 is the natural number following 399 and preceding 401.

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 integers. In base 10 it is a Harshad number.

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

260 is the natural number following 259 and preceding 261.

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. All integers between zero and n are n-harshad numbers.

A divisibility rule is a shorthand way of determining whether a given integer is divisible by a fixed divisor without performing the division, usually by examining its digits. Although there are divisibility tests for numbers in any radix, or base, and they are all different, this article presents rules and examples only for decimal, or base 10, numbers. Martin Gardner explained and popularized these rules in his September 1962 "Mathematical Games" column in Scientific American.

100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.

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 .

In mathematics, a pandigital number is an integer that in a given base has among its significant digits each digit used in the base at least once. For example, 1234567890 is a pandigital number in base 10. The first few pandigital base 10 numbers are given by :

280 is the natural number after 279 and before 281.

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.


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