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131,874

131,874 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.).

131,874 (one hundred thirty-one thousand eight hundred seventy-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 31 × 709. Its proper divisors sum to 140,766, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20322.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
672
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
478,131
Recamán's sequence
a(228,624) = 131,874
Square (n²)
17,390,751,876
Cube (n³)
2,293,388,012,895,624
Divisor count
16
σ(n) — sum of divisors
272,640
φ(n) — Euler's totient
42,480
Sum of prime factors
745

Primality

Prime factorization: 2 × 3 × 31 × 709

Nearest primes: 131,861 (−13) · 131,891 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 31 · 62 · 93 · 186 · 709 · 1418 · 2127 · 4254 · 21979 · 43958 · 65937 (half) · 131874
Aliquot sum (sum of proper divisors): 140,766
Factor pairs (a × b = 131,874)
1 × 131874
2 × 65937
3 × 43958
6 × 21979
31 × 4254
62 × 2127
93 × 1418
186 × 709
First multiples
131,874 · 263,748 (double) · 395,622 · 527,496 · 659,370 · 791,244 · 923,118 · 1,054,992 · 1,186,866 · 1,318,740

Sums & aliquot sequence

As consecutive integers: 43,957 + 43,958 + 43,959 32,967 + 32,968 + 32,969 + 32,970 10,984 + 10,985 + … + 10,995 4,239 + 4,240 + … + 4,269
Aliquot sequence: 131,874 140,766 150,834 164,238 175,218 213,582 213,594 219,174 219,186 331,182 404,898 502,302 502,314 502,326 733,194 1,337,238 1,974,330 — unresolved within range

Continued fraction of √n

√131,874 = [363; (6, 1, 10, 1, 6, 726)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred seventy-four
Ordinal
131874th
Binary
100000001100100010
Octal
401442
Hexadecimal
0x20322
Base64
AgMi
One's complement
4,294,835,421 (32-bit)
Scientific notation
1.31874 × 10⁵
As a duration
131,874 s = 1 day, 12 hours, 37 minutes, 54 seconds
In other bases
ternary (3) 20200220020
quaternary (4) 200030202
quinary (5) 13204444
senary (6) 2454310
septenary (7) 1056321
nonary (9) 220806
undecimal (11) 90096
duodecimal (12) 64396
tridecimal (13) 48042
tetradecimal (14) 360b8
pentadecimal (15) 29119

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωοδʹ
Mayan (base 20)
𝋰·𝋩·𝋭·𝋮
Chinese
一十三萬一千八百七十四
Chinese (financial)
壹拾參萬壹仟捌佰柒拾肆
In other modern scripts
Eastern Arabic ١٣١٨٧٤ Devanagari १३१८७४ Bengali ১৩১৮৭৪ Tamil ௧௩௧௮௭௪ Thai ๑๓๑๘๗๔ Tibetan ༡༣༡༨༧༤ Khmer ១៣១៨៧៤ Lao ໑໓໑໘໗໔ Burmese ၁၃၁၈၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131874, here are decompositions:

  • 13 + 131861 = 131874
  • 37 + 131837 = 131874
  • 97 + 131777 = 131874
  • 103 + 131771 = 131874
  • 131 + 131743 = 131874
  • 163 + 131711 = 131874
  • 167 + 131707 = 131874
  • 173 + 131701 = 131874

Showing the first eight; more decompositions exist.

Unicode codepoint
𠌢
CJK Unified Ideograph-20322
U+20322
Other letter (Lo)

UTF-8 encoding: F0 A0 8C A2 (4 bytes).

Hex color
#020322
RGB(2, 3, 34)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.34.

Address
0.2.3.34
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.34

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 131,874 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 131874 first appears in π at position 176,103 of the decimal expansion (the 176,103ordinal-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.

Related reading

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