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13,172

13,172 is a composite number, even.

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.).
Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
42
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
27,131
Recamán's sequence
a(47,931) = 13,172
Square (n²)
173,501,584
Cube (n³)
2,285,362,864,448
Divisor count
12
σ(n) — sum of divisors
23,940
φ(n) — Euler's totient
6,336
Sum of prime factors
130

Primality

Prime factorization: 2 2 × 37 × 89

Nearest primes: 13,171 (−1) · 13,177 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 37 · 74 · 89 · 148 · 178 · 356 · 3293 · 6586 (half) · 13172
Aliquot sum (sum of proper divisors): 10,768
Factor pairs (a × b = 13,172)
1 × 13172
2 × 6586
4 × 3293
37 × 356
74 × 178
89 × 148
First multiples
13,172 · 26,344 (double) · 39,516 · 52,688 · 65,860 · 79,032 · 92,204 · 105,376 · 118,548 · 131,720

Sums & aliquot sequence

As a sum of two squares: 44² + 106² = 76² + 86²
As consecutive integers: 1,643 + 1,644 + … + 1,650 338 + 339 + … + 374 104 + 105 + … + 192
Aliquot sequence: 13,172 10,768 10,126 5,498 2,752 2,836 2,134 1,394 874 566 286 218 112 136 134 70 74 — unresolved within range

Representations

In words
thirteen thousand one hundred seventy-two
Ordinal
13172nd
Binary
11001101110100
Octal
31564
Hexadecimal
0x3374
Base64
M3Q=
One's complement
52,363 (16-bit)
In other bases
ternary (3) 200001212
quaternary (4) 3031310
quinary (5) 410142
senary (6) 140552
septenary (7) 53255
nonary (9) 20055
undecimal (11) 9995
duodecimal (12) 7758
tridecimal (13) 5cc3
tetradecimal (14) 4b2c
pentadecimal (15) 3d82

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγροβʹ
Mayan (base 20)
𝋡·𝋬·𝋲·𝋬
Chinese
一萬三千一百七十二
Chinese (financial)
壹萬參仟壹佰柒拾貳
In other modern scripts
Eastern Arabic ١٣١٧٢ Devanagari १३१७२ Bengali ১৩১৭২ Tamil ௧௩௧௭௨ Thai ๑๓๑๗๒ Tibetan ༡༣༡༧༢ Khmer ១៣១៧២ Lao ໑໓໑໗໒ Burmese ၁၃၁၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,172 = 7
e — Euler's number (e)
Digit 13,172 = 6
φ — Golden ratio (φ)
Digit 13,172 = 8
√2 — Pythagoras's (√2)
Digit 13,172 = 9
ln 2 — Natural log of 2
Digit 13,172 = 9
γ — Euler-Mascheroni (γ)
Digit 13,172 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13172, here are decompositions:

  • 13 + 13159 = 13172
  • 73 + 13099 = 13172
  • 79 + 13093 = 13172
  • 109 + 13063 = 13172
  • 139 + 13033 = 13172
  • 163 + 13009 = 13172
  • 193 + 12979 = 13172
  • 199 + 12973 = 13172

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Bar
U+3374
Other symbol (So)

UTF-8 encoding: E3 8D B4 (3 bytes).

Hex color
#003374
RGB(0, 51, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.116.

Address
0.0.51.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.116

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

Position in π

The digit sequence 13172 first appears in π at position 173,211 of the decimal expansion (the 173,211ordinal-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.