number.wiki
Number

1,972

1,972 is a composite number, even, a calendar year.

Deficient Number Year

Properties

Parity
Even
Digit count
4
Digit sum
19
Digital root
1
Palindrome
No
Divisor count
12
σ(n) — sum of divisors
3,780

Primality

Prime factorization: 2 2 × 17 × 29

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 17 · 29 · 34 · 58 · 68 · 116 · 493 · 986 · 1972
Aliquot sum (sum of proper divisors): 1,808
Factor pairs (a × b = 1,972)
1 × 1972
2 × 986
4 × 493
17 × 116
29 × 68
34 × 58
First multiples
1,972 · 3,944 · 5,916 · 7,888 · 9,860 · 11,832 · 13,804 · 15,776 · 17,748 · 19,720

Representations

In words
one thousand nine hundred seventy-two
Ordinal
1972nd
Roman numeral
MCMLXXII
Binary
11110110100
Octal
3664
Hexadecimal
7B4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1972, here are decompositions:

  • 23 + 1949 = 1972
  • 41 + 1931 = 1972
  • 59 + 1913 = 1972
  • 71 + 1901 = 1972
  • 83 + 1889 = 1972
  • 101 + 1871 = 1972
  • 149 + 1823 = 1972
  • 239 + 1733 = 1972

Showing the first eight; more decompositions exist.

Hex color
#0007B4
RGB(0, 7, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.180.