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Number

13

13 — Thirteen

13 is a prime, odd, a calendar year.

Thirteen is the sixth prime and is widely considered unlucky in many Western cultures (a phenomenon called triskaidekaphobia). It is also the smallest emirp — a prime whose digit reversal (31) is a different prime.

Sources https://en.wikipedia.org/wiki/13_(number)
Cousin Prime Curated Deficient Number Fibonacci Happy Number Prime Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
2
Digit sum
4
Digital root
4
Palindrome
No
Divisor count
2
σ(n) — sum of divisors
14

Primality

13 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13)
1 × 13
First multiples
13 · 26 · 39 · 52 · 65 · 78 · 91 · 104 · 117 · 130

Representations

In words
thirteen
Ordinal
13th
Roman numeral
XIII
Binary
1101
Octal
15
Hexadecimal
D

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 11 (gap of 2)
  • Next prime: 17 (gap of 4)

Pair status: twin with 11, cousin with 17.

ASCII character

As an ASCII codepoint, 13 is CR (carriage return). ASCII control character.

Hex color
#00000D
RGB(0, 0, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.13.

Possible US bank routing number

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

Routing number
000000013
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.