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Number

13,931

13,931 is a prime, odd.

13,931 (thirteen thousand nine hundred thirty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x366B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Palindrome Palindromic Prime Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
81
Digital root
8
Palindrome
Yes
Bit width
14 bits
Recamán's sequence
a(20,854) = 13,931
Square (n²)
194,072,761
Cube (n³)
2,703,627,633,491
Divisor count
2
σ(n) — sum of divisors
13,932
φ(n) — Euler's totient
13,930

Primality

13,931 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13931
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,931)
1 × 13931
First multiples
13,931 · 27,862 (double) · 41,793 · 55,724 · 69,655 · 83,586 · 97,517 · 111,448 · 125,379 · 139,310

Sums & aliquot sequence

As consecutive integers: 6,965 + 6,966

Continued fraction of √n

√13,931 = [118; (33, 1, 2, 1, 1, 4, 4, 13, 1, 1, 1, 5, 1, 1, 4, 5, 1, 1, 6, 4, 1, 46, 2, 2, …)]

Representations

In words
thirteen thousand nine hundred thirty-one
Ordinal
13931st
Binary
11011001101011
Octal
33153
Hexadecimal
0x366B
Base64
Nms=
One's complement
51,604 (16-bit)
Scientific notation
1.3931 × 10⁴
As a duration
13,931 s = 3 hours, 52 minutes, 11 seconds
In other bases
ternary (3) 201002222
quaternary (4) 3121223
quinary (5) 421211
senary (6) 144255
septenary (7) 55421
nonary (9) 21088
undecimal (11) a515
duodecimal (12) 808b
tridecimal (13) 6458
tetradecimal (14) 5111
pentadecimal (15) 41db

As an angle

13,931° = 38 × 360° + 251°
251° ≈ 4.381 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιγϡλαʹ
Mayan (base 20)
𝋡·𝋮·𝋰·𝋫
Chinese
一萬三千九百三十一
Chinese (financial)
壹萬參仟玖佰參拾壹
In other modern scripts
Eastern Arabic ١٣٩٣١ Devanagari १३९३१ Bengali ১৩৯৩১ Tamil ௧௩௯௩௧ Thai ๑๓๙๓๑ Tibetan ༡༣༩༣༡ Khmer ១៣៩៣១ Lao ໑໓໙໓໑ Burmese ၁၃၉၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,931 = 3
e — Euler's number (e)
Digit 13,931 = 4
φ — Golden ratio (φ)
Digit 13,931 = 3
√2 — Pythagoras's (√2)
Digit 13,931 = 8
ln 2 — Natural log of 2
Digit 13,931 = 2
γ — Euler-Mascheroni (γ)
Digit 13,931 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,921 (gap of 10)
  • Next prime: 13,933 (gap of 2)

Pair status: twin with 13933.

Unicode codepoint
CJK Unified Ideograph-366B
U+366B
Other letter (Lo)

UTF-8 encoding: E3 99 AB (3 bytes).

Hex color
#00366B
RGB(0, 54, 107)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.107.

Address
0.0.54.107
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.107

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

Musical pitch

Heard as a frequency, 13,931 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -18¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +19¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -17¢)
Position in π

The digit sequence 13931 first appears in π at position 69,516 of the decimal expansion (the 69,516ordinal-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.