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131,972

131,972 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.).

131,972 (one hundred thirty-one thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 32,993. Written other ways, in hexadecimal, 0x20384.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
378
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
279,131
Recamán's sequence
a(228,428) = 131,972
Square (n²)
17,416,608,784
Cube (n³)
2,298,504,694,442,048
Divisor count
6
σ(n) — sum of divisors
230,958
φ(n) — Euler's totient
65,984
Sum of prime factors
32,997

Primality

Prime factorization: 2 2 × 32993

Nearest primes: 131,969 (−3) · 132,001 (+29)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 32993 · 65986 (half) · 131972
Aliquot sum (sum of proper divisors): 98,986
Factor pairs (a × b = 131,972)
1 × 131972
2 × 65986
4 × 32993
First multiples
131,972 · 263,944 (double) · 395,916 · 527,888 · 659,860 · 791,832 · 923,804 · 1,055,776 · 1,187,748 · 1,319,720

Sums & aliquot sequence

As a sum of two squares: 224² + 286²
As consecutive integers: 16,493 + 16,494 + … + 16,500
Aliquot sequence: 131,972 98,986 53,078 26,542 15,074 7,540 10,100 12,034 7,694 3,850 5,078 2,542 1,490 1,210 1,184 1,210 — enters a cycle

Continued fraction of √n

√131,972 = [363; (3, 1, 1, 2, 1, 2, 1, 1, 10, 9, 2, 1, 13, 3, 2, 2, 11, 1, 9, 3, 5, 2, 1, 4, …)]

Representations

In words
one hundred thirty-one thousand nine hundred seventy-two
Ordinal
131972nd
Binary
100000001110000100
Octal
401604
Hexadecimal
0x20384
Base64
AgOE
One's complement
4,294,835,323 (32-bit)
Scientific notation
1.31972 × 10⁵
As a duration
131,972 s = 1 day, 12 hours, 39 minutes, 32 seconds
In other bases
ternary (3) 20201000212
quaternary (4) 200032010
quinary (5) 13210342
senary (6) 2454552
septenary (7) 1056521
nonary (9) 221025
undecimal (11) 90175
duodecimal (12) 64458
tridecimal (13) 480b9
tetradecimal (14) 36148
pentadecimal (15) 29182

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαϡοβʹ
Mayan (base 20)
𝋰·𝋩·𝋲·𝋬
Chinese
一十三萬一千九百七十二
Chinese (financial)
壹拾參萬壹仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٣١٩٧٢ Devanagari १३१९७२ Bengali ১৩১৯৭২ Tamil ௧௩௧௯௭௨ Thai ๑๓๑๙๗๒ Tibetan ༡༣༡༩༧༢ Khmer ១៣១៩៧២ Lao ໑໓໑໙໗໒ Burmese ၁၃၁၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131972, here are decompositions:

  • 3 + 131969 = 131972
  • 13 + 131959 = 131972
  • 31 + 131941 = 131972
  • 73 + 131899 = 131972
  • 79 + 131893 = 131972
  • 193 + 131779 = 131972
  • 223 + 131749 = 131972
  • 229 + 131743 = 131972

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎄
CJK Unified Ideograph-20384
U+20384
Other letter (Lo)

UTF-8 encoding: F0 A0 8E 84 (4 bytes).

Hex color
#020384
RGB(2, 3, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.132.

Address
0.2.3.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.132

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 131,972 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 131972 first appears in π at position 977,487 of the decimal expansion (the 977,487ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.