number.wiki
Live analysis

132,872

132,872 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.).

132,872 (one hundred thirty-two thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 17 × 977. Written other ways, in hexadecimal, 0x20708.

Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
672
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
278,231
Square (n²)
17,654,968,384
Cube (n³)
2,345,850,959,118,848
Divisor count
16
σ(n) — sum of divisors
264,060
φ(n) — Euler's totient
62,464
Sum of prime factors
1,000

Primality

Prime factorization: 2 3 × 17 × 977

Nearest primes: 132,863 (−9) · 132,887 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 17 · 34 · 68 · 136 · 977 · 1954 · 3908 · 7816 · 16609 · 33218 · 66436 (half) · 132872
Aliquot sum (sum of proper divisors): 131,188
Factor pairs (a × b = 132,872)
1 × 132872
2 × 66436
4 × 33218
8 × 16609
17 × 7816
34 × 3908
68 × 1954
136 × 977
First multiples
132,872 · 265,744 (double) · 398,616 · 531,488 · 664,360 · 797,232 · 930,104 · 1,062,976 · 1,195,848 · 1,328,720

Sums & aliquot sequence

As a sum of two squares: 146² + 334² = 226² + 286²
As consecutive integers: 8,297 + 8,298 + … + 8,312 7,808 + 7,809 + … + 7,824 353 + 354 + … + 624
Aliquot sequence: 132,872 131,188 98,398 49,202 25,834 12,920 19,480 24,440 36,040 51,440 68,344 59,816 52,354 26,180 46,396 46,452 81,228 — unresolved within range

Continued fraction of √n

√132,872 = [364; (1, 1, 15, 91, 15, 1, 1, 728)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eight hundred seventy-two
Ordinal
132872nd
Binary
100000011100001000
Octal
403410
Hexadecimal
0x20708
Base64
AgcI
One's complement
4,294,834,423 (32-bit)
Scientific notation
1.32872 × 10⁵
As a duration
132,872 s = 1 day, 12 hours, 54 minutes, 32 seconds
In other bases
ternary (3) 20202021012
quaternary (4) 200130020
quinary (5) 13222442
senary (6) 2503052
septenary (7) 1062245
nonary (9) 222235
undecimal (11) 90913
duodecimal (12) 64a88
tridecimal (13) 4862c
tetradecimal (14) 365cc
pentadecimal (15) 29582
Palindromic in base 6

As an angle

132,872° = 369 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβωοβʹ
Mayan (base 20)
𝋰·𝋬·𝋣·𝋬
Chinese
一十三萬二千八百七十二
Chinese (financial)
壹拾參萬貳仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٢٨٧٢ Devanagari १३२८७२ Bengali ১৩২৮৭২ Tamil ௧௩௨௮௭௨ Thai ๑๓๒๘๗๒ Tibetan ༡༣༢༨༧༢ Khmer ១៣២៨៧២ Lao ໑໓໒໘໗໒ Burmese ၁၃၂၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132872, here are decompositions:

  • 13 + 132859 = 132872
  • 109 + 132763 = 132872
  • 151 + 132721 = 132872
  • 163 + 132709 = 132872
  • 193 + 132679 = 132872
  • 211 + 132661 = 132872
  • 241 + 132631 = 132872
  • 283 + 132589 = 132872

Showing the first eight; more decompositions exist.

Unicode codepoint
𠜈
CJK Unified Ideograph-20708
U+20708
Other letter (Lo)

UTF-8 encoding: F0 A0 9C 88 (4 bytes).

Hex color
#020708
RGB(2, 7, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.8.

Address
0.2.7.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.8

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 132,872 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 132872 first appears in π at position 907,227 of the decimal expansion (the 907,227ordinal-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.