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131,532

131,532 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.).

131,532 (one hundred thirty-one thousand five hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 97 × 113. Its proper divisors sum to 181,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x201CC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
90
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
235,131
Recamán's sequence
a(229,308) = 131,532
Square (n²)
17,300,667,024
Cube (n³)
2,275,591,335,000,768
Divisor count
24
σ(n) — sum of divisors
312,816
φ(n) — Euler's totient
43,008
Sum of prime factors
217

Primality

Prime factorization: 2 2 × 3 × 97 × 113

Nearest primes: 131,519 (−13) · 131,543 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 97 · 113 · 194 · 226 · 291 · 339 · 388 · 452 · 582 · 678 · 1164 · 1356 · 10961 · 21922 · 32883 · 43844 · 65766 (half) · 131532
Aliquot sum (sum of proper divisors): 181,284
Factor pairs (a × b = 131,532)
1 × 131532
2 × 65766
3 × 43844
4 × 32883
6 × 21922
12 × 10961
97 × 1356
113 × 1164
194 × 678
226 × 582
291 × 452
339 × 388
First multiples
131,532 · 263,064 (double) · 394,596 · 526,128 · 657,660 · 789,192 · 920,724 · 1,052,256 · 1,183,788 · 1,315,320

Sums & aliquot sequence

As consecutive integers: 43,843 + 43,844 + 43,845 16,438 + 16,439 + … + 16,445 5,469 + 5,470 + … + 5,492 1,308 + 1,309 + … + 1,404
Aliquot sequence: 131,532 181,284 241,740 544,500 1,343,568 2,281,200 5,030,088 9,561,912 14,457,288 22,529,112 33,793,728 60,718,656 99,933,296 93,687,496 107,454,584 95,562,736 89,590,096 — unresolved within range

Continued fraction of √n

√131,532 = [362; (1, 2, 16, 6, 1, 1, 2, 5, 1, 1, 1, 1, 65, 2, 1, 180, 1, 2, 65, 1, 1, 1, 1, 5, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand five hundred thirty-two
Ordinal
131532nd
Binary
100000000111001100
Octal
400714
Hexadecimal
0x201CC
Base64
AgHM
One's complement
4,294,835,763 (32-bit)
Scientific notation
1.31532 × 10⁵
As a duration
131,532 s = 1 day, 12 hours, 32 minutes, 12 seconds
In other bases
ternary (3) 20200102120
quaternary (4) 200013030
quinary (5) 13202112
senary (6) 2452540
septenary (7) 1055322
nonary (9) 220376
undecimal (11) 8a905
duodecimal (12) 64150
tridecimal (13) 47b3b
tetradecimal (14) 35d12
pentadecimal (15) 28e8c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαφλβʹ
Mayan (base 20)
𝋰·𝋨·𝋰·𝋬
Chinese
一十三萬一千五百三十二
Chinese (financial)
壹拾參萬壹仟伍佰參拾貳
In other modern scripts
Eastern Arabic ١٣١٥٣٢ Devanagari १३१५३२ Bengali ১৩১৫৩২ Tamil ௧௩௧௫௩௨ Thai ๑๓๑๕๓๒ Tibetan ༡༣༡༥༣༢ Khmer ១៣១៥៣២ Lao ໑໓໑໕໓໒ Burmese ၁၃၁၅၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131532, here are decompositions:

  • 13 + 131519 = 131532
  • 31 + 131501 = 131532
  • 43 + 131489 = 131532
  • 53 + 131479 = 131532
  • 83 + 131449 = 131532
  • 101 + 131431 = 131532
  • 151 + 131381 = 131532
  • 211 + 131321 = 131532

Showing the first eight; more decompositions exist.

Unicode codepoint
𠇌
CJK Unified Ideograph-201Cc
U+201CC
Other letter (Lo)

UTF-8 encoding: F0 A0 87 8C (4 bytes).

Hex color
#0201CC
RGB(2, 1, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.204.

Address
0.2.1.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.204

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 131,532 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 131532 first appears in π at position 910,288 of the decimal expansion (the 910,288ordinal-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°.