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Number

12,959

12,959 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Happy Number Odious Number Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
26
Digit product
810
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
95,921
Recamán's sequence
a(48,357) = 12,959
Square (n²)
167,935,681
Cube (n³)
2,176,278,490,079
Divisor count
2
σ(n) — sum of divisors
12,960
φ(n) — Euler's totient
12,958

Primality

12,959 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12959
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,959)
1 × 12959
First multiples
12,959 · 25,918 (double) · 38,877 · 51,836 · 64,795 · 77,754 · 90,713 · 103,672 · 116,631 · 129,590

Sums & aliquot sequence

As consecutive integers: 6,479 + 6,480

Representations

In words
twelve thousand nine hundred fifty-nine
Ordinal
12959th
Binary
11001010011111
Octal
31237
Hexadecimal
0x329F
Base64
Mp8=
One's complement
52,576 (16-bit)
In other bases
ternary (3) 122202222
quaternary (4) 3022133
quinary (5) 403314
senary (6) 135555
septenary (7) 52532
nonary (9) 18688
undecimal (11) 9811
duodecimal (12) 75bb
tridecimal (13) 5b8b
tetradecimal (14) 4a19
pentadecimal (15) 3c8e

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβϡνθʹ
Mayan (base 20)
𝋡·𝋬·𝋧·𝋳
Chinese
一萬二千九百五十九
Chinese (financial)
壹萬貳仟玖佰伍拾玖
In other modern scripts
Eastern Arabic ١٢٩٥٩ Devanagari १२९५९ Bengali ১২৯৫৯ Tamil ௧௨௯௫௯ Thai ๑๒๙๕๙ Tibetan ༡༢༩༥༩ Khmer ១២៩៥៩ Lao ໑໒໙໕໙ Burmese ၁၂၉၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 12,959 = 5
e — Euler's number (e)
Digit 12,959 = 3
φ — Golden ratio (φ)
Digit 12,959 = 9
√2 — Pythagoras's (√2)
Digit 12,959 = 4
ln 2 — Natural log of 2
Digit 12,959 = 4
γ — Euler-Mascheroni (γ)
Digit 12,959 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,953 (gap of 6)
  • Next prime: 12,967 (gap of 8)

Pair status: sexy with 12953.

Unicode codepoint
Circled Ideograph Attention
U+329F
Other symbol (So)

UTF-8 encoding: E3 8A 9F (3 bytes).

Hex color
#00329F
RGB(0, 50, 159)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.159.

Address
0.0.50.159
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.159

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
000012959
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 12959 first appears in π at position 167,562 of the decimal expansion (the 167,562ordinal-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.