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13,937

13,937 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

13,937 (thirteen thousand nine hundred thirty-seven) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 7 × 11 × 181. Written other ways, in hexadecimal, 0x3671.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
567
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
73,931
Recamán's sequence
a(20,842) = 13,937
Square (n²)
194,239,969
Cube (n³)
2,707,122,447,953
Divisor count
8
σ(n) — sum of divisors
17,472
φ(n) — Euler's totient
10,800
Sum of prime factors
199

Primality

Prime factorization: 7 × 11 × 181

Nearest primes: 13,933 (−4) · 13,963 (+26)

Divisors & multiples

All divisors (8)
1 · 7 · 11 · 77 · 181 · 1267 · 1991 · 13937
Aliquot sum (sum of proper divisors): 3,535
Factor pairs (a × b = 13,937)
1 × 13937
7 × 1991
11 × 1267
77 × 181
First multiples
13,937 · 27,874 (double) · 41,811 · 55,748 · 69,685 · 83,622 · 97,559 · 111,496 · 125,433 · 139,370

Sums & aliquot sequence

As consecutive integers: 6,968 + 6,969 1,988 + 1,989 + … + 1,994 1,262 + 1,263 + … + 1,272 989 + 990 + … + 1,002
Aliquot sequence: 13,937 3,535 1,361 1 0 — terminates at zero

Continued fraction of √n

√13,937 = [118; (18, 6, 3, 14, 2, 3, 1, 2, 1, 2, 1, 20, 1, 2, 1, 2, 1, 3, 2, 14, 3, 6, 18, 236)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand nine hundred thirty-seven
Ordinal
13937th
Binary
11011001110001
Octal
33161
Hexadecimal
0x3671
Base64
NnE=
One's complement
51,598 (16-bit)
Scientific notation
1.3937 × 10⁴
As a duration
13,937 s = 3 hours, 52 minutes, 17 seconds
In other bases
ternary (3) 201010012
quaternary (4) 3121301
quinary (5) 421222
senary (6) 144305
septenary (7) 55430
nonary (9) 21105
undecimal (11) a520
duodecimal (12) 8095
tridecimal (13) 6461
tetradecimal (14) 5117
pentadecimal (15) 41e2

As an angle

13,937° = 38 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγϡλζʹ
Mayan (base 20)
𝋡·𝋮·𝋰·𝋱
Chinese
一萬三千九百三十七
Chinese (financial)
壹萬參仟玖佰參拾柒
In other modern scripts
Eastern Arabic ١٣٩٣٧ Devanagari १३९३७ Bengali ১৩৯৩৭ Tamil ௧௩௯௩௭ Thai ๑๓๙๓๗ Tibetan ༡༣༩༣༧ Khmer ១៣៩៣៧ Lao ໑໓໙໓໗ Burmese ၁၃၉၃၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,937 = 4
e — Euler's number (e)
Digit 13,937 = 7
φ — Golden ratio (φ)
Digit 13,937 = 9
√2 — Pythagoras's (√2)
Digit 13,937 = 0
ln 2 — Natural log of 2
Digit 13,937 = 5
γ — Euler-Mascheroni (γ)
Digit 13,937 = 1

Also seen as

Unicode codepoint
CJK Unified Ideograph-3671
U+3671
Other letter (Lo)

UTF-8 encoding: E3 99 B1 (3 bytes).

Hex color
#003671
RGB(0, 54, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.113.

Address
0.0.54.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.113

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

Musical pitch

Heard as a frequency, 13,937 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -18¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +20¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -16¢)
Position in π

The digit sequence 13937 first appears in π at position 51,386 of the decimal expansion (the 51,386ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.