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8,064

8,064 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Harshad / Niven

Properties

Parity
Even
Digit count
4
Digit sum
18
Digital root
9
Palindrome
No
Divisor count
48
σ(n) — sum of divisors
26,520

Primality

Prime factorization: 2 7 × 3 2 × 7

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 28 · 32 · 36 · 42 · 48 · 56 · 63 · 64 · 72 · 84 · 96 · 112 · 126 · 128 · 144 · 168 · 192 · 224 · 252 · 288 · 336 · 384 · 448 · 504 · 576 · 672 · 896 · 1008 · 1152 · 1344 · 2016 · 2688 · 4032 · 8064
Aliquot sum (sum of proper divisors): 18,456
Factor pairs (a × b = 8,064)
1 × 8064
2 × 4032
3 × 2688
4 × 2016
6 × 1344
7 × 1152
8 × 1008
9 × 896
12 × 672
14 × 576
16 × 504
18 × 448
21 × 384
24 × 336
28 × 288
32 × 252
36 × 224
42 × 192
48 × 168
56 × 144
63 × 128
64 × 126
72 × 112
84 × 96
First multiples
8,064 · 16,128 · 24,192 · 32,256 · 40,320 · 48,384 · 56,448 · 64,512 · 72,576 · 80,640

Representations

In words
eight thousand sixty-four
Ordinal
8064th
Binary
1111110000000
Octal
17600
Hexadecimal
1F80

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8064, here are decompositions:

  • 5 + 8059 = 8064
  • 11 + 8053 = 8064
  • 47 + 8017 = 8064
  • 53 + 8011 = 8064
  • 71 + 7993 = 8064
  • 101 + 7963 = 8064
  • 113 + 7951 = 8064
  • 127 + 7937 = 8064

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Small Letter Alpha With Psili And Ypogegrammeni
U+1F80
Lowercase letter (Ll)

UTF-8 encoding: E1 BE 80 (3 bytes).

Hex color
#001F80
RGB(0, 31, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.128.