number.wiki
Live analysis

13,220

13,220 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 Pernicious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
2,231
Recamán's sequence
a(47,835) = 13,220
Square (n²)
174,768,400
Cube (n³)
2,310,438,248,000
Divisor count
12
σ(n) — sum of divisors
27,804
φ(n) — Euler's totient
5,280
Sum of prime factors
670

Primality

Prime factorization: 2 2 × 5 × 661

Nearest primes: 13,219 (−1) · 13,229 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 661 · 1322 · 2644 · 3305 · 6610 (half) · 13220
Aliquot sum (sum of proper divisors): 14,584
Factor pairs (a × b = 13,220)
1 × 13220
2 × 6610
4 × 3305
5 × 2644
10 × 1322
20 × 661
First multiples
13,220 · 26,440 (double) · 39,660 · 52,880 · 66,100 · 79,320 · 92,540 · 105,760 · 118,980 · 132,200

Sums & aliquot sequence

As a sum of two squares: 26² + 112² = 74² + 88²
As consecutive integers: 2,642 + 2,643 + 2,644 + 2,645 + 2,646 1,649 + 1,650 + … + 1,656 311 + 312 + … + 350
Aliquot sequence: 13,220 14,584 12,776 11,194 6,266 3,898 1,952 1,954 980 1,414 1,034 694 350 394 200 265 59 — unresolved within range

Representations

In words
thirteen thousand two hundred twenty
Ordinal
13220th
Binary
11001110100100
Octal
31644
Hexadecimal
0x33A4
Base64
M6Q=
One's complement
52,315 (16-bit)
In other bases
ternary (3) 200010122
quaternary (4) 3032210
quinary (5) 410340
senary (6) 141112
septenary (7) 53354
nonary (9) 20118
undecimal (11) 9a29
duodecimal (12) 7798
tridecimal (13) 602c
tetradecimal (14) 4b64
pentadecimal (15) 3db5

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ιγσκʹ
Mayan (base 20)
𝋡·𝋭·𝋡·𝋠
Chinese
一萬三千二百二十
Chinese (financial)
壹萬參仟貳佰貳拾
In other modern scripts
Eastern Arabic ١٣٢٢٠ Devanagari १३२२० Bengali ১৩২২০ Tamil ௧௩௨௨௦ Thai ๑๓๒๒๐ Tibetan ༡༣༢༢༠ Khmer ១៣២២០ Lao ໑໓໒໒໐ Burmese ၁၃၂၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,220 = 2
e — Euler's number (e)
Digit 13,220 = 5
φ — Golden ratio (φ)
Digit 13,220 = 2
√2 — Pythagoras's (√2)
Digit 13,220 = 3
ln 2 — Natural log of 2
Digit 13,220 = 6
γ — Euler-Mascheroni (γ)
Digit 13,220 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13220, here are decompositions:

  • 3 + 13217 = 13220
  • 37 + 13183 = 13220
  • 43 + 13177 = 13220
  • 61 + 13159 = 13220
  • 73 + 13147 = 13220
  • 127 + 13093 = 13220
  • 157 + 13063 = 13220
  • 211 + 13009 = 13220

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Cm Cubed
U+33A4
Other symbol (So)

UTF-8 encoding: E3 8E A4 (3 bytes).

Hex color
#0033A4
RGB(0, 51, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.164.

Address
0.0.51.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.164

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000013220
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 13220 first appears in π at position 89,903 of the decimal expansion (the 89,903ordinal-suffix:rd 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.