number.wiki
Live analysis

13,380

13,380 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 Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
8,331
Recamán's sequence
a(47,515) = 13,380
Square (n²)
179,024,400
Cube (n³)
2,395,346,472,000
Divisor count
24
σ(n) — sum of divisors
37,632
φ(n) — Euler's totient
3,552
Sum of prime factors
235

Primality

Prime factorization: 2 2 × 3 × 5 × 223

Nearest primes: 13,367 (−13) · 13,381 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 223 · 446 · 669 · 892 · 1115 · 1338 · 2230 · 2676 · 3345 · 4460 · 6690 (half) · 13380
Aliquot sum (sum of proper divisors): 24,252
Factor pairs (a × b = 13,380)
1 × 13380
2 × 6690
3 × 4460
4 × 3345
5 × 2676
6 × 2230
10 × 1338
12 × 1115
15 × 892
20 × 669
30 × 446
60 × 223
First multiples
13,380 · 26,760 (double) · 40,140 · 53,520 · 66,900 · 80,280 · 93,660 · 107,040 · 120,420 · 133,800

Sums & aliquot sequence

As consecutive integers: 4,459 + 4,460 + 4,461 2,674 + 2,675 + 2,676 + 2,677 + 2,678 1,669 + 1,670 + … + 1,676 885 + 886 + … + 899
Aliquot sequence: 13,380 24,252 34,884 65,916 100,796 77,956 58,474 37,052 29,308 25,124 22,924 20,924 15,700 18,586 9,296 11,536 14,256 — unresolved within range

Representations

In words
thirteen thousand three hundred eighty
Ordinal
13380th
Binary
11010001000100
Octal
32104
Hexadecimal
0x3444
Base64
NEQ=
One's complement
52,155 (16-bit)
In other bases
ternary (3) 200100120
quaternary (4) 3101010
quinary (5) 412010
senary (6) 141540
septenary (7) 54003
nonary (9) 20316
undecimal (11) a064
duodecimal (12) 78b0
tridecimal (13) 6123
tetradecimal (14) 4c3a
pentadecimal (15) 3e70

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγτπʹ
Mayan (base 20)
𝋡·𝋭·𝋩·𝋠
Chinese
一萬三千三百八十
Chinese (financial)
壹萬參仟參佰捌拾
In other modern scripts
Eastern Arabic ١٣٣٨٠ Devanagari १३३८० Bengali ১৩৩৮০ Tamil ௧௩௩௮௦ Thai ๑๓๓๘๐ Tibetan ༡༣༣༨༠ Khmer ១៣៣៨០ Lao ໑໓໓໘໐ Burmese ၁၃၃၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,380 = 1
e — Euler's number (e)
Digit 13,380 = 5
φ — Golden ratio (φ)
Digit 13,380 = 3
√2 — Pythagoras's (√2)
Digit 13,380 = 6
ln 2 — Natural log of 2
Digit 13,380 = 8
γ — Euler-Mascheroni (γ)
Digit 13,380 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13380, here are decompositions:

  • 13 + 13367 = 13380
  • 41 + 13339 = 13380
  • 43 + 13337 = 13380
  • 53 + 13327 = 13380
  • 67 + 13313 = 13380
  • 71 + 13309 = 13380
  • 83 + 13297 = 13380
  • 89 + 13291 = 13380

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3444
U+3444
Other letter (Lo)

UTF-8 encoding: E3 91 84 (3 bytes).

Hex color
#003444
RGB(0, 52, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.68.

Address
0.0.52.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.68

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

Position in π

The digit sequence 13380 first appears in π at position 24,143 of the decimal expansion (the 24,143ordinal-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.