number.wiki
Live analysis

13,330

13,330 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 Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
3,331
Recamán's sequence
a(47,615) = 13,330
Square (n²)
177,688,900
Cube (n³)
2,368,593,037,000
Divisor count
16
σ(n) — sum of divisors
25,344
φ(n) — Euler's totient
5,040
Sum of prime factors
81

Primality

Prime factorization: 2 × 5 × 31 × 43

Nearest primes: 13,327 (−3) · 13,331 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 31 · 43 · 62 · 86 · 155 · 215 · 310 · 430 · 1333 · 2666 · 6665 (half) · 13330
Aliquot sum (sum of proper divisors): 12,014
Factor pairs (a × b = 13,330)
1 × 13330
2 × 6665
5 × 2666
10 × 1333
31 × 430
43 × 310
62 × 215
86 × 155
First multiples
13,330 · 26,660 (double) · 39,990 · 53,320 · 66,650 · 79,980 · 93,310 · 106,640 · 119,970 · 133,300

Sums & aliquot sequence

As consecutive integers: 3,331 + 3,332 + 3,333 + 3,334 2,664 + 2,665 + 2,666 + 2,667 + 2,668 657 + 658 + … + 676 415 + 416 + … + 445
Aliquot sequence: 13,330 12,014 6,010 4,826 2,854 1,430 1,594 800 1,153 1 0 — terminates at zero

Representations

In words
thirteen thousand three hundred thirty
Ordinal
13330th
Binary
11010000010010
Octal
32022
Hexadecimal
0x3412
Base64
NBI=
One's complement
52,205 (16-bit)
In other bases
ternary (3) 200021201
quaternary (4) 3100102
quinary (5) 411310
senary (6) 141414
septenary (7) 53602
nonary (9) 20251
undecimal (11) a019
duodecimal (12) 786a
tridecimal (13) 60b5
tetradecimal (14) 4c02
pentadecimal (15) 3e3a

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ιγτλʹ
Mayan (base 20)
𝋡·𝋭·𝋦·𝋪
Chinese
一萬三千三百三十
Chinese (financial)
壹萬參仟參佰參拾
In other modern scripts
Eastern Arabic ١٣٣٣٠ Devanagari १३३३० Bengali ১৩৩৩০ Tamil ௧௩௩௩௦ Thai ๑๓๓๓๐ Tibetan ༡༣༣༣༠ Khmer ១៣៣៣០ Lao ໑໓໓໓໐ Burmese ၁၃၃၃၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,330 = 2
e — Euler's number (e)
Digit 13,330 = 6
φ — Golden ratio (φ)
Digit 13,330 = 8
√2 — Pythagoras's (√2)
Digit 13,330 = 5
ln 2 — Natural log of 2
Digit 13,330 = 5
γ — Euler-Mascheroni (γ)
Digit 13,330 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13330, here are decompositions:

  • 3 + 13327 = 13330
  • 17 + 13313 = 13330
  • 71 + 13259 = 13330
  • 89 + 13241 = 13330
  • 101 + 13229 = 13330
  • 113 + 13217 = 13330
  • 167 + 13163 = 13330
  • 179 + 13151 = 13330

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3412
U+3412
Other letter (Lo)

UTF-8 encoding: E3 90 92 (3 bytes).

Hex color
#003412
RGB(0, 52, 18)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.18.

Address
0.0.52.18
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.18

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
000013330
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 13330 first appears in π at position 62,697 of the decimal expansion (the 62,697ordinal-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.