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13,170

13,170 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 Evil Number Gapful Number Recamán's Sequence Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
7,131
Recamán's sequence
a(47,935) = 13,170
Square (n²)
173,448,900
Cube (n³)
2,284,322,013,000
Divisor count
16
σ(n) — sum of divisors
31,680
φ(n) — Euler's totient
3,504
Sum of prime factors
449

Primality

Prime factorization: 2 × 3 × 5 × 439

Nearest primes: 13,163 (−7) · 13,171 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 439 · 878 · 1317 · 2195 · 2634 · 4390 · 6585 (half) · 13170
Aliquot sum (sum of proper divisors): 18,510
Factor pairs (a × b = 13,170)
1 × 13170
2 × 6585
3 × 4390
5 × 2634
6 × 2195
10 × 1317
15 × 878
30 × 439
First multiples
13,170 · 26,340 (double) · 39,510 · 52,680 · 65,850 · 79,020 · 92,190 · 105,360 · 118,530 · 131,700

Sums & aliquot sequence

As consecutive integers: 4,389 + 4,390 + 4,391 3,291 + 3,292 + 3,293 + 3,294 2,632 + 2,633 + 2,634 + 2,635 + 2,636 1,092 + 1,093 + … + 1,103
Aliquot sequence: 13,170 18,510 25,986 27,582 27,594 43,446 50,298 52,518 52,530 82,254 82,266 82,278 121,770 241,110 450,090 750,870 1,295,226 — unresolved within range

Representations

In words
thirteen thousand one hundred seventy
Ordinal
13170th
Binary
11001101110010
Octal
31562
Hexadecimal
0x3372
Base64
M3I=
One's complement
52,365 (16-bit)
In other bases
ternary (3) 200001210
quaternary (4) 3031302
quinary (5) 410140
senary (6) 140550
septenary (7) 53253
nonary (9) 20053
undecimal (11) 9993
duodecimal (12) 7756
tridecimal (13) 5cc1
tetradecimal (14) 4b2a
pentadecimal (15) 3d80

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγροʹ
Mayan (base 20)
𝋡·𝋬·𝋲·𝋪
Chinese
一萬三千一百七十
Chinese (financial)
壹萬參仟壹佰柒拾
In other modern scripts
Eastern Arabic ١٣١٧٠ Devanagari १३१७० Bengali ১৩১৭০ Tamil ௧௩௧௭௦ Thai ๑๓๑๗๐ Tibetan ༡༣༡༧༠ Khmer ១៣១៧០ Lao ໑໓໑໗໐ Burmese ၁၃၁၇၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,170 = 9
e — Euler's number (e)
Digit 13,170 = 8
φ — Golden ratio (φ)
Digit 13,170 = 2
√2 — Pythagoras's (√2)
Digit 13,170 = 6
ln 2 — Natural log of 2
Digit 13,170 = 0
γ — Euler-Mascheroni (γ)
Digit 13,170 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13170, here are decompositions:

  • 7 + 13163 = 13170
  • 11 + 13159 = 13170
  • 19 + 13151 = 13170
  • 23 + 13147 = 13170
  • 43 + 13127 = 13170
  • 61 + 13109 = 13170
  • 67 + 13103 = 13170
  • 71 + 13099 = 13170

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Da
U+3372
Other symbol (So)

UTF-8 encoding: E3 8D B2 (3 bytes).

Hex color
#003372
RGB(0, 51, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.114.

Address
0.0.51.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.114

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

Position in π

The digit sequence 13170 first appears in π at position 83,387 of the decimal expansion (the 83,387ordinal-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.