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13,628

13,628 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
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
82,631
Recamán's sequence
a(4,028) = 13,628
Square (n²)
185,722,384
Cube (n³)
2,531,024,649,152
Divisor count
6
σ(n) — sum of divisors
23,856
φ(n) — Euler's totient
6,812
Sum of prime factors
3,411

Primality

Prime factorization: 2 2 × 3407

Nearest primes: 13,627 (−1) · 13,633 (+5)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 3407 · 6814 (half) · 13628
Aliquot sum (sum of proper divisors): 10,228
Factor pairs (a × b = 13,628)
1 × 13628
2 × 6814
4 × 3407
First multiples
13,628 · 27,256 (double) · 40,884 · 54,512 · 68,140 · 81,768 · 95,396 · 109,024 · 122,652 · 136,280

Sums & aliquot sequence

As consecutive integers: 1,700 + 1,701 + … + 1,707
Aliquot sequence: 13,628 10,228 7,678 4,922 2,854 1,430 1,594 800 1,153 1 0 — terminates at zero

Representations

In words
thirteen thousand six hundred twenty-eight
Ordinal
13628th
Binary
11010100111100
Octal
32474
Hexadecimal
0x353C
Base64
NTw=
One's complement
51,907 (16-bit)
In other bases
ternary (3) 200200202
quaternary (4) 3110330
quinary (5) 414003
senary (6) 143032
septenary (7) 54506
nonary (9) 20622
undecimal (11) a26a
duodecimal (12) 7a78
tridecimal (13) 6284
tetradecimal (14) 4d76
pentadecimal (15) 4088

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγχκηʹ
Mayan (base 20)
𝋡·𝋮·𝋡·𝋨
Chinese
一萬三千六百二十八
Chinese (financial)
壹萬參仟陸佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٦٢٨ Devanagari १३६२८ Bengali ১৩৬২৮ Tamil ௧௩௬௨௮ Thai ๑๓๖๒๘ Tibetan ༡༣༦༢༨ Khmer ១៣៦២៨ Lao ໑໓໖໒໘ Burmese ၁၃၆၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,628 = 7
e — Euler's number (e)
Digit 13,628 = 5
φ — Golden ratio (φ)
Digit 13,628 = 2
√2 — Pythagoras's (√2)
Digit 13,628 = 4
ln 2 — Natural log of 2
Digit 13,628 = 0
γ — Euler-Mascheroni (γ)
Digit 13,628 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13628, here are decompositions:

  • 31 + 13597 = 13628
  • 37 + 13591 = 13628
  • 61 + 13567 = 13628
  • 151 + 13477 = 13628
  • 211 + 13417 = 13628
  • 229 + 13399 = 13628
  • 331 + 13297 = 13628
  • 337 + 13291 = 13628

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-353C
U+353C
Other letter (Lo)

UTF-8 encoding: E3 94 BC (3 bytes).

Hex color
#00353C
RGB(0, 53, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.60.

Address
0.0.53.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.60

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
000013628
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 13628 first appears in π at position 228,334 of the decimal expansion (the 228,334ordinal-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.