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Number

1,038

1,038 is a composite number, even, a calendar year.

Abundant Number Sphenic Number Squarefree Year

Properties

Parity
Even
Digit count
4
Digit sum
12
Digital root
3
Palindrome
No
Divisor count
8
σ(n) — sum of divisors
2,088

Primality

Prime factorization: 2 × 3 × 173

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 173 · 346 · 519 · 1038
Aliquot sum (sum of proper divisors): 1,050
Factor pairs (a × b = 1,038)
1 × 1038
2 × 519
3 × 346
6 × 173
First multiples
1,038 · 2,076 · 3,114 · 4,152 · 5,190 · 6,228 · 7,266 · 8,304 · 9,342 · 10,380

Representations

In words
one thousand thirty-eight
Ordinal
1038th
Roman numeral
MXXXVIII
Binary
10000001110
Octal
2016
Hexadecimal
40E

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1038, here are decompositions:

  • 5 + 1033 = 1038
  • 7 + 1031 = 1038
  • 17 + 1021 = 1038
  • 19 + 1019 = 1038
  • 29 + 1009 = 1038
  • 41 + 997 = 1038
  • 47 + 991 = 1038
  • 61 + 977 = 1038

Showing the first eight; more decompositions exist.

Unicode codepoint
Ў
U+040E
Uppercase letter (Lu)

UTF-8 encoding: D0 8E (2 bytes).

Lookup U+040E on Compart ↗ Lookup on FileFormat.Info ↗
Hex color
#00040E
RGB(0, 4, 14)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.14.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001038
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Look up 000001038 on FedACH ↗ Routing Number Lookup (Wise) ↗