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131,814

131,814 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.).

131,814 (one hundred thirty-one thousand eight hundred fourteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 2,441. Its proper divisors sum to 161,226, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202E6.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
96
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
418,131
Recamán's sequence
a(228,744) = 131,814
Square (n²)
17,374,930,596
Cube (n³)
2,290,259,101,581,144
Divisor count
16
σ(n) — sum of divisors
293,040
φ(n) — Euler's totient
43,920
Sum of prime factors
2,452

Primality

Prime factorization: 2 × 3 3 × 2441

Nearest primes: 131,797 (−17) · 131,837 (+23)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 2441 · 4882 · 7323 · 14646 · 21969 · 43938 · 65907 (half) · 131814
Aliquot sum (sum of proper divisors): 161,226
Factor pairs (a × b = 131,814)
1 × 131814
2 × 65907
3 × 43938
6 × 21969
9 × 14646
18 × 7323
27 × 4882
54 × 2441
First multiples
131,814 · 263,628 (double) · 395,442 · 527,256 · 659,070 · 790,884 · 922,698 · 1,054,512 · 1,186,326 · 1,318,140

Sums & aliquot sequence

As consecutive integers: 43,937 + 43,938 + 43,939 32,952 + 32,953 + 32,954 + 32,955 14,642 + 14,643 + … + 14,650 10,979 + 10,980 + … + 10,990
Aliquot sequence: 131,814 161,226 224,172 387,348 596,460 1,073,796 1,491,228 2,444,340 4,399,980 8,870,004 17,486,508 26,754,612 42,918,348 66,760,116 92,329,164 141,653,676 195,905,364 — unresolved within range

Continued fraction of √n

√131,814 = [363; (16, 7, 2, 2, 1, 3, 5, 1, 4, 1, 30, 1, 2, 1, 6, 1, 8, 1, 1, 3, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-one thousand eight hundred fourteen
Ordinal
131814th
Binary
100000001011100110
Octal
401346
Hexadecimal
0x202E6
Base64
AgLm
One's complement
4,294,835,481 (32-bit)
Scientific notation
1.31814 × 10⁵
As a duration
131,814 s = 1 day, 12 hours, 36 minutes, 54 seconds
In other bases
ternary (3) 20200211000
quaternary (4) 200023212
quinary (5) 13204224
senary (6) 2454130
septenary (7) 1056204
nonary (9) 220730
undecimal (11) 90041
duodecimal (12) 64346
tridecimal (13) 47cc7
tetradecimal (14) 36074
pentadecimal (15) 290c9
Palindromic in base 12

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωιδʹ
Mayan (base 20)
𝋰·𝋩·𝋪·𝋮
Chinese
一十三萬一千八百一十四
Chinese (financial)
壹拾參萬壹仟捌佰壹拾肆
In other modern scripts
Eastern Arabic ١٣١٨١٤ Devanagari १३१८१४ Bengali ১৩১৮১৪ Tamil ௧௩௧௮௧௪ Thai ๑๓๑๘๑๔ Tibetan ༡༣༡༨༡༤ Khmer ១៣១៨១៤ Lao ໑໓໑໘໑໔ Burmese ၁၃၁၈၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131814, here are decompositions:

  • 17 + 131797 = 131814
  • 31 + 131783 = 131814
  • 37 + 131777 = 131814
  • 43 + 131771 = 131814
  • 71 + 131743 = 131814
  • 83 + 131731 = 131814
  • 101 + 131713 = 131814
  • 103 + 131711 = 131814

Showing the first eight; more decompositions exist.

Unicode codepoint
𠋦
CJK Unified Ideograph-202E6
U+202E6
Other letter (Lo)

UTF-8 encoding: F0 A0 8B A6 (4 bytes).

Hex color
#0202E6
RGB(2, 2, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.230.

Address
0.2.2.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.230

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 131,814 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 131814 first appears in π at position 5,312 of the decimal expansion (the 5,312ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.