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Number

13,291

13,291 is a prime, odd.

Arithmetic Number Deficient Number Emirp Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
54
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
19,231
Recamán's sequence
a(47,693) = 13,291
Square (n²)
176,650,681
Cube (n³)
2,347,864,201,171
Divisor count
2
σ(n) — sum of divisors
13,292
φ(n) — Euler's totient
13,290

Primality

13,291 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13291
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,291)
1 × 13291
First multiples
13,291 · 26,582 (double) · 39,873 · 53,164 · 66,455 · 79,746 · 93,037 · 106,328 · 119,619 · 132,910

Sums & aliquot sequence

As consecutive integers: 6,645 + 6,646

Representations

In words
thirteen thousand two hundred ninety-one
Ordinal
13291st
Binary
11001111101011
Octal
31753
Hexadecimal
0x33EB
Base64
M+s=
One's complement
52,244 (16-bit)
In other bases
ternary (3) 200020021
quaternary (4) 3033223
quinary (5) 411131
senary (6) 141311
septenary (7) 53515
nonary (9) 20207
undecimal (11) 9a93
duodecimal (12) 7837
tridecimal (13) 6085
tetradecimal (14) 4bb5
pentadecimal (15) 3e11

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιγσϟαʹ
Mayan (base 20)
𝋡·𝋭·𝋤·𝋫
Chinese
一萬三千二百九十一
Chinese (financial)
壹萬參仟貳佰玖拾壹
In other modern scripts
Eastern Arabic ١٣٢٩١ Devanagari १३२९१ Bengali ১৩২৯১ Tamil ௧௩௨௯௧ Thai ๑๓๒๙๑ Tibetan ༡༣༢༩༡ Khmer ១៣២៩១ Lao ໑໓໒໙໑ Burmese ၁၃၂၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,291 = 2
e — Euler's number (e)
Digit 13,291 = 7
φ — Golden ratio (φ)
Digit 13,291 = 6
√2 — Pythagoras's (√2)
Digit 13,291 = 4
ln 2 — Natural log of 2
Digit 13,291 = 6
γ — Euler-Mascheroni (γ)
Digit 13,291 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,267 (gap of 24)
  • Next prime: 13,297 (gap of 6)

Pair status: sexy with 13297.

Unicode codepoint
Ideographic Telegraph Symbol For Day Twelve
U+33EB
Other symbol (So)

UTF-8 encoding: E3 8F AB (3 bytes).

Hex color
#0033EB
RGB(0, 51, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.235.

Address
0.0.51.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.235

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

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

Routing number
000013291
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.

Position in π

The digit sequence 13291 first appears in π at position 109,252 of the decimal expansion (the 109,252ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.