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13,820

13,820 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

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
2,831
Recamán's sequence
a(21,076) = 13,820
Square (n²)
190,992,400
Cube (n³)
2,639,514,968,000
Divisor count
12
σ(n) — sum of divisors
29,064
φ(n) — Euler's totient
5,520
Sum of prime factors
700

Primality

Prime factorization: 2 2 × 5 × 691

Nearest primes: 13,807 (−13) · 13,829 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 691 · 1382 · 2764 · 3455 · 6910 (half) · 13820
Aliquot sum (sum of proper divisors): 15,244
Factor pairs (a × b = 13,820)
1 × 13820
2 × 6910
4 × 3455
5 × 2764
10 × 1382
20 × 691
First multiples
13,820 · 27,640 (double) · 41,460 · 55,280 · 69,100 · 82,920 · 96,740 · 110,560 · 124,380 · 138,200

Sums & aliquot sequence

As consecutive integers: 2,762 + 2,763 + 2,764 + 2,765 + 2,766 1,724 + 1,725 + … + 1,731 326 + 327 + … + 365
Aliquot sequence: 13,820 15,244 12,420 27,900 62,372 50,524 43,220 47,584 46,160 61,348 63,938 45,694 32,642 18,958 9,482 6,070 4,874 — unresolved within range

Representations

In words
thirteen thousand eight hundred twenty
Ordinal
13820th
Binary
11010111111100
Octal
32774
Hexadecimal
0x35FC
Base64
Nfw=
One's complement
51,715 (16-bit)
In other bases
ternary (3) 200221212
quaternary (4) 3113330
quinary (5) 420240
senary (6) 143552
septenary (7) 55202
nonary (9) 20855
undecimal (11) a424
duodecimal (12) 7bb8
tridecimal (13) 63a1
tetradecimal (14) 5072
pentadecimal (15) 4165

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ιγωκʹ
Mayan (base 20)
𝋡·𝋮·𝋫·𝋠
Chinese
一萬三千八百二十
Chinese (financial)
壹萬參仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٣٨٢٠ Devanagari १३८२० Bengali ১৩৮২০ Tamil ௧௩௮௨௦ Thai ๑๓๘๒๐ Tibetan ༡༣༨༢༠ Khmer ១៣៨២០ Lao ໑໓໘໒໐ Burmese ၁၃၈၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,820 = 0
e — Euler's number (e)
Digit 13,820 = 8
φ — Golden ratio (φ)
Digit 13,820 = 4
√2 — Pythagoras's (√2)
Digit 13,820 = 7
ln 2 — Natural log of 2
Digit 13,820 = 4
γ — Euler-Mascheroni (γ)
Digit 13,820 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13820, here are decompositions:

  • 13 + 13807 = 13820
  • 31 + 13789 = 13820
  • 61 + 13759 = 13820
  • 97 + 13723 = 13820
  • 109 + 13711 = 13820
  • 127 + 13693 = 13820
  • 139 + 13681 = 13820
  • 151 + 13669 = 13820

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-35Fc
U+35FC
Other letter (Lo)

UTF-8 encoding: E3 97 BC (3 bytes).

Hex color
#0035FC
RGB(0, 53, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.252.

Address
0.0.53.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.252

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

Position in π

The digit sequence 13820 first appears in π at position 45,856 of the decimal expansion (the 45,856ordinal-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.