75 (number)

Last updated
← 74 75 76 →
Cardinal seventy-five
Ordinal 75th
(seventy-fifth)
Factorization 3 × 52
Divisors 1, 3, 5, 15, 25, 75
Greek numeral ΟΕ´
Roman numeral LXXV, lxxv
Binary 10010112
Ternary 22103
Senary 2036
Octal 1138
Duodecimal 6312
Hexadecimal 4B16

75 (seventy-five) is the natural number following 74 and preceding 76.

In mathematics

75 is a self number because there is no integer that added up to its own digits adds up to 75. [1] It is the sum of the first five pentagonal numbers, and therefore a pentagonal pyramidal number, as well as a nonagonal number. [2] [3]

It is also the fourth ordered Bell number, and a Keith number, because it recurs in a Fibonacci-like sequence started from its base 10 digits: 7, 5, 12, 17, 29, 46, 75... [4]

75 is the count of the number of weak orderings on a set of four items. [5]

Excluding the infinite sets, there are 75 uniform polyhedra in the third dimension, which incorporate star polyhedra as well. Inclusive of 7 families of prisms and antiprisms, there are also 75 uniform compound polyhedra.

Related Research Articles

20 (twenty) is the natural number following 19 and preceding 21.

33 (thirty-three) is the natural number following 32 and preceding 34.

70 (seventy) is the natural number following 69 and preceding 71.

90 (ninety) is the natural number following 89 and preceding 91.

23 (twenty-three) is the natural number following 22 and preceding 24.

31 (thirty-one) is the natural number following 30 and preceding 32. It is a prime number.

37 (thirty-seven) is the natural number following 36 and preceding 38.

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

300 is the natural number following 299 and preceding 301.

500 is the natural number following 499 and preceding 501.

700 is the natural number following 699 and preceding 701.

2000 is a natural number following 1999 and preceding 2001.

151 is a natural number. It follows 150 and precedes 152.

<span class="mw-page-title-main">1,000,000</span> Natural number

1,000,000, or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione, from mille, "thousand", plus the augmentative suffix -one.

<span class="mw-page-title-main">1,000,000,000</span> Natural number

1,000,000,000 is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.

181 is the natural number following 180 and preceding 182.

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

60,000 is the natural number that comes after 59,999 and before 60,001. It is a round number. It is the value of (75025).

888 is the natural number following 887 and preceding 889.

14 (fourteen) is the natural number following 13 and preceding 15.

References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA003052". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA001106". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA002411". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "SequenceA007629". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  5. ↑ Sloane, N. J. A. (ed.). "SequenceA000670". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
This page is based on this Wikipedia article
Text is available under the CC BY-SA 4.0 license; additional terms may apply.
Images, videos and audio are available under their respective licenses.