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Number

15,131

15,131 is a prime, odd.

15,131 (fifteen thousand one hundred thirty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3B1B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
15
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
13,151
Recamán's sequence
a(5,054) = 15,131
Square (n²)
228,947,161
Cube (n³)
3,464,199,493,091
Divisor count
2
σ(n) — sum of divisors
15,132
φ(n) — Euler's totient
15,130

Primality

15,131 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 15131
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 15,131)
1 × 15131
First multiples
15,131 · 30,262 (double) · 45,393 · 60,524 · 75,655 · 90,786 · 105,917 · 121,048 · 136,179 · 151,310

Sums & aliquot sequence

As consecutive integers: 7,565 + 7,566

Continued fraction of √n

√15,131 = [123; (123, 246)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
fifteen thousand one hundred thirty-one
Ordinal
15131st
Binary
11101100011011
Octal
35433
Hexadecimal
0x3B1B
Base64
Oxs=
One's complement
50,404 (16-bit)
Scientific notation
1.5131 × 10⁴
As a duration
15,131 s = 4 hours, 12 minutes, 11 seconds
In other bases
ternary (3) 202202102
quaternary (4) 3230123
quinary (5) 441011
senary (6) 154015
septenary (7) 62054
nonary (9) 22672
undecimal (11) 10406
duodecimal (12) 890b
tridecimal (13) 6b6c
tetradecimal (14) 572b
pentadecimal (15) 473b

As an angle

15,131° = 42 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιερλαʹ
Mayan (base 20)
𝋡·𝋱·𝋰·𝋫
Chinese
一萬五千一百三十一
Chinese (financial)
壹萬伍仟壹佰參拾壹
In other modern scripts
Eastern Arabic ١٥١٣١ Devanagari १५१३१ Bengali ১৫১৩১ Tamil ௧௫௧௩௧ Thai ๑๕๑๓๑ Tibetan ༡༥༡༣༡ Khmer ១៥១៣១ Lao ໑໕໑໓໑ Burmese ၁၅၁၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 15,131 = 5
e — Euler's number (e)
Digit 15,131 = 1
φ — Golden ratio (φ)
Digit 15,131 = 4
√2 — Pythagoras's (√2)
Digit 15,131 = 8
ln 2 — Natural log of 2
Digit 15,131 = 7
γ — Euler-Mascheroni (γ)
Digit 15,131 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 15,121 (gap of 10)
  • Next prime: 15,137 (gap of 6)

Pair status: sexy with 15137.

Unicode codepoint
CJK Unified Ideograph-3B1B
U+3B1B
Other letter (Lo)

UTF-8 encoding: E3 AC 9B (3 bytes).

Hex color
#003B1B
RGB(0, 59, 27)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.59.27.

Address
0.0.59.27
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.59.27

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

Musical pitch

Heard as a frequency, 15,131 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, +25¢)
  • Scientific pitch (C4 = 256 Hz): B9 (15464.4 Hz, -38¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, +26¢)
Position in π

The digit sequence 15131 first appears in π at position 80,865 of the decimal expansion (the 80,865ordinal-suffix:th 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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.