number.wiki
Live analysis

13,137

13,137 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.).

13,137 (thirteen thousand one hundred thirty-seven) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 3 × 29 × 151. Written other ways, in hexadecimal, 0x3351.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
15
Digit product
63
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
73,131
Recamán's sequence
a(48,001) = 13,137
Square (n²)
172,580,769
Cube (n³)
2,267,193,562,353
Divisor count
8
σ(n) — sum of divisors
18,240
φ(n) — Euler's totient
8,400
Sum of prime factors
183

Primality

Prime factorization: 3 × 29 × 151

Nearest primes: 13,127 (−10) · 13,147 (+10)

Divisors & multiples

All divisors (8)
1 · 3 · 29 · 87 · 151 · 453 · 4379 · 13137
Aliquot sum (sum of proper divisors): 5,103
Factor pairs (a × b = 13,137)
1 × 13137
3 × 4379
29 × 453
87 × 151
First multiples
13,137 · 26,274 (double) · 39,411 · 52,548 · 65,685 · 78,822 · 91,959 · 105,096 · 118,233 · 131,370

Sums & aliquot sequence

As consecutive integers: 6,568 + 6,569 4,378 + 4,379 + 4,380 2,187 + 2,188 + 2,189 + 2,190 + 2,191 + 2,192 439 + 440 + … + 467
Aliquot sequence: 13,137 5,103 3,641 343 57 23 1 0 — terminates at zero

Continued fraction of √n

√13,137 = [114; (1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 4, 14, 9, 1, 8, 1, 1, 1, 6, 3, 2, 3, 6, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand one hundred thirty-seven
Ordinal
13137th
Binary
11001101010001
Octal
31521
Hexadecimal
0x3351
Base64
M1E=
One's complement
52,398 (16-bit)
Scientific notation
1.3137 × 10⁴
As a duration
13,137 s = 3 hours, 38 minutes, 57 seconds
In other bases
ternary (3) 200000120
quaternary (4) 3031101
quinary (5) 410022
senary (6) 140453
septenary (7) 53205
nonary (9) 20016
undecimal (11) 9963
duodecimal (12) 7729
tridecimal (13) 5c97
tetradecimal (14) 4b05
pentadecimal (15) 3d5c

As an angle

13,137° = 36 × 360° + 177°
177° ≈ 3.089 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγρλζʹ
Mayan (base 20)
𝋡·𝋬·𝋰·𝋱
Chinese
一萬三千一百三十七
Chinese (financial)
壹萬參仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٣١٣٧ Devanagari १३१३७ Bengali ১৩১৩৭ Tamil ௧௩௧௩௭ Thai ๑๓๑๓๗ Tibetan ༡༣༡༣༧ Khmer ១៣១៣៧ Lao ໑໓໑໓໗ Burmese ၁၃၁၃၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,137 = 0
e — Euler's number (e)
Digit 13,137 = 9
φ — Golden ratio (φ)
Digit 13,137 = 4
√2 — Pythagoras's (√2)
Digit 13,137 = 5
ln 2 — Natural log of 2
Digit 13,137 = 6
γ — Euler-Mascheroni (γ)
Digit 13,137 = 9

Also seen as

Unicode codepoint
Square Rittoru
U+3351
Other symbol (So)

UTF-8 encoding: E3 8D 91 (3 bytes).

Hex color
#003351
RGB(0, 51, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.81.

Address
0.0.51.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.81

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

Musical pitch

Heard as a frequency, 13,137 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -20¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +18¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -19¢)
Position in π

The digit sequence 13137 first appears in π at position 156,648 of the decimal expansion (the 156,648ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.