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131,948

131,948 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.).

131,948 (one hundred thirty-one thousand nine hundred forty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 32,987. Written other ways, in hexadecimal, 0x2036C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
864
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
849,131
Recamán's sequence
a(228,476) = 131,948
Square (n²)
17,410,274,704
Cube (n³)
2,297,250,926,643,392
Divisor count
6
σ(n) — sum of divisors
230,916
φ(n) — Euler's totient
65,972
Sum of prime factors
32,991

Primality

Prime factorization: 2 2 × 32987

Nearest primes: 131,947 (−1) · 131,959 (+11)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 32987 · 65974 (half) · 131948
Aliquot sum (sum of proper divisors): 98,968
Factor pairs (a × b = 131,948)
1 × 131948
2 × 65974
4 × 32987
First multiples
131,948 · 263,896 (double) · 395,844 · 527,792 · 659,740 · 791,688 · 923,636 · 1,055,584 · 1,187,532 · 1,319,480

Sums & aliquot sequence

As consecutive integers: 16,490 + 16,491 + … + 16,497
Aliquot sequence: 131,948 98,968 90,032 95,224 83,336 87,304 99,896 87,424 86,996 101,164 101,220 224,028 439,908 733,404 1,222,564 1,277,276 1,850,884 — unresolved within range

Continued fraction of √n

√131,948 = [363; (4, 17, 2, 7, 1, 2, 10, 2, 65, 1, 1, 3, 5, 2, 3, 2, 1, 7, 1, 1, 3, 1, 2, 3, …)]

Representations

In words
one hundred thirty-one thousand nine hundred forty-eight
Ordinal
131948th
Binary
100000001101101100
Octal
401554
Hexadecimal
0x2036C
Base64
AgNs
One's complement
4,294,835,347 (32-bit)
Scientific notation
1.31948 × 10⁵
As a duration
131,948 s = 1 day, 12 hours, 39 minutes, 8 seconds
In other bases
ternary (3) 20200222222
quaternary (4) 200031230
quinary (5) 13210243
senary (6) 2454512
septenary (7) 1056455
nonary (9) 220888
undecimal (11) 90153
duodecimal (12) 64438
tridecimal (13) 4809b
tetradecimal (14) 3612c
pentadecimal (15) 29168

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡμηʹ
Mayan (base 20)
𝋰·𝋩·𝋱·𝋨
Chinese
一十三萬一千九百四十八
Chinese (financial)
壹拾參萬壹仟玖佰肆拾捌
In other modern scripts
Eastern Arabic ١٣١٩٤٨ Devanagari १३१९४८ Bengali ১৩১৯৪৮ Tamil ௧௩௧௯௪௮ Thai ๑๓๑๙๔๘ Tibetan ༡༣༡༩༤༨ Khmer ១៣១៩៤៨ Lao ໑໓໑໙໔໘ Burmese ၁၃၁၉၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131948, here are decompositions:

  • 7 + 131941 = 131948
  • 109 + 131839 = 131948
  • 151 + 131797 = 131948
  • 199 + 131749 = 131948
  • 241 + 131707 = 131948
  • 277 + 131671 = 131948
  • 307 + 131641 = 131948
  • 331 + 131617 = 131948

Showing the first eight; more decompositions exist.

Unicode codepoint
𠍬
CJK Unified Ideograph-2036C
U+2036C
Other letter (Lo)

UTF-8 encoding: F0 A0 8D AC (4 bytes).

Hex color
#02036C
RGB(2, 3, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.108.

Address
0.2.3.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.108

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 131,948 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 131948 first appears in π at position 56,407 of the decimal expansion (the 56,407ordinal-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.