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13,180

13,180 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.).
Abundant Number Arithmetic Number Gapful Number Odious Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
8,131
Recamán's sequence
a(47,915) = 13,180
Square (n²)
173,712,400
Cube (n³)
2,289,529,432,000
Divisor count
12
σ(n) — sum of divisors
27,720
φ(n) — Euler's totient
5,264
Sum of prime factors
668

Primality

Prime factorization: 2 2 × 5 × 659

Nearest primes: 13,177 (−3) · 13,183 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 659 · 1318 · 2636 · 3295 · 6590 (half) · 13180
Aliquot sum (sum of proper divisors): 14,540
Factor pairs (a × b = 13,180)
1 × 13180
2 × 6590
4 × 3295
5 × 2636
10 × 1318
20 × 659
First multiples
13,180 · 26,360 (double) · 39,540 · 52,720 · 65,900 · 79,080 · 92,260 · 105,440 · 118,620 · 131,800

Sums & aliquot sequence

As consecutive integers: 2,634 + 2,635 + 2,636 + 2,637 + 2,638 1,644 + 1,645 + … + 1,651 310 + 311 + … + 349
Aliquot sequence: 13,180 14,540 16,036 13,644 20,936 18,334 9,746 6,238 3,122 2,254 1,850 1,684 1,270 1,034 694 350 394 — unresolved within range

Representations

In words
thirteen thousand one hundred eighty
Ordinal
13180th
Binary
11001101111100
Octal
31574
Hexadecimal
0x337C
Base64
M3w=
One's complement
52,355 (16-bit)
In other bases
ternary (3) 200002011
quaternary (4) 3031330
quinary (5) 410210
senary (6) 141004
septenary (7) 53266
nonary (9) 20064
undecimal (11) 99a2
duodecimal (12) 7764
tridecimal (13) 5ccb
tetradecimal (14) 4b36
pentadecimal (15) 3d8a

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγρπʹ
Mayan (base 20)
𝋡·𝋬·𝋳·𝋠
Chinese
一萬三千一百八十
Chinese (financial)
壹萬參仟壹佰捌拾
In other modern scripts
Eastern Arabic ١٣١٨٠ Devanagari १३१८० Bengali ১৩১৮০ Tamil ௧௩௧௮௦ Thai ๑๓๑๘๐ Tibetan ༡༣༡༨༠ Khmer ១៣១៨០ Lao ໑໓໑໘໐ Burmese ၁၃၁၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,180 = 9
e — Euler's number (e)
Digit 13,180 = 1
φ — Golden ratio (φ)
Digit 13,180 = 1
√2 — Pythagoras's (√2)
Digit 13,180 = 3
ln 2 — Natural log of 2
Digit 13,180 = 5
γ — Euler-Mascheroni (γ)
Digit 13,180 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13180, here are decompositions:

  • 3 + 13177 = 13180
  • 17 + 13163 = 13180
  • 29 + 13151 = 13180
  • 53 + 13127 = 13180
  • 59 + 13121 = 13180
  • 71 + 13109 = 13180
  • 131 + 13049 = 13180
  • 137 + 13043 = 13180

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Era Name Syouwa
U+337C
Other symbol (So)

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

Hex color
#00337C
RGB(0, 51, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.124.

Address
0.0.51.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.124

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

Position in π

The digit sequence 13180 first appears in π at position 176,061 of the decimal expansion (the 176,061ordinal-suffix:st 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.