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131,872

131,872 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.).

131,872 (one hundred thirty-one thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 13 × 317. Its proper divisors sum to 148,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20320.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
336
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
278,131
Recamán's sequence
a(228,628) = 131,872
Square (n²)
17,390,224,384
Cube (n³)
2,293,283,669,966,848
Divisor count
24
σ(n) — sum of divisors
280,476
φ(n) — Euler's totient
60,672
Sum of prime factors
340

Primality

Prime factorization: 2 5 × 13 × 317

Nearest primes: 131,861 (−11) · 131,891 (+19)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 104 · 208 · 317 · 416 · 634 · 1268 · 2536 · 4121 · 5072 · 8242 · 10144 · 16484 · 32968 · 65936 (half) · 131872
Aliquot sum (sum of proper divisors): 148,604
Factor pairs (a × b = 131,872)
1 × 131872
2 × 65936
4 × 32968
8 × 16484
13 × 10144
16 × 8242
26 × 5072
32 × 4121
52 × 2536
104 × 1268
208 × 634
317 × 416
First multiples
131,872 · 263,744 (double) · 395,616 · 527,488 · 659,360 · 791,232 · 923,104 · 1,054,976 · 1,186,848 · 1,318,720

Sums & aliquot sequence

As a sum of two squares: 164² + 324² = 236² + 276²
As consecutive integers: 10,138 + 10,139 + … + 10,150 2,029 + 2,030 + … + 2,092 258 + 259 + … + 574
Aliquot sequence: 131,872 148,604 114,820 126,344 124,756 93,574 62,666 31,336 27,434 20,086 13,430 12,490 10,010 14,182 10,154 5,080 6,440 — unresolved within range

Continued fraction of √n

√131,872 = [363; (7, 20, 31, 1, 1, 8, 2, 5, 1, 1, 7, 1, 4, 6, 4, 2, 44, 1, 17, 1, 1, 1, 4, 2, …)]

Representations

In words
one hundred thirty-one thousand eight hundred seventy-two
Ordinal
131872nd
Binary
100000001100100000
Octal
401440
Hexadecimal
0x20320
Base64
AgMg
One's complement
4,294,835,423 (32-bit)
Scientific notation
1.31872 × 10⁵
As a duration
131,872 s = 1 day, 12 hours, 37 minutes, 52 seconds
In other bases
ternary (3) 20200220011
quaternary (4) 200030200
quinary (5) 13204442
senary (6) 2454304
septenary (7) 1056316
nonary (9) 220804
undecimal (11) 90094
duodecimal (12) 64394
tridecimal (13) 48040
tetradecimal (14) 360b6
pentadecimal (15) 29117

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαωοβʹ
Mayan (base 20)
𝋰·𝋩·𝋭·𝋬
Chinese
一十三萬一千八百七十二
Chinese (financial)
壹拾參萬壹仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٣١٨٧٢ Devanagari १३१८७२ Bengali ১৩১৮৭২ Tamil ௧௩௧௮௭௨ Thai ๑๓๑๘๗๒ Tibetan ༡༣༡༨༧༢ Khmer ១៣១៨៧២ Lao ໑໓໑໘໗໒ Burmese ၁၃၁၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131872, here are decompositions:

  • 11 + 131861 = 131872
  • 23 + 131849 = 131872
  • 89 + 131783 = 131872
  • 101 + 131771 = 131872
  • 113 + 131759 = 131872
  • 233 + 131639 = 131872
  • 281 + 131591 = 131872
  • 311 + 131561 = 131872

Showing the first eight; more decompositions exist.

Unicode codepoint
𠌠
CJK Unified Ideograph-20320
U+20320
Other letter (Lo)

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

Hex color
#020320
RGB(2, 3, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.32.

Address
0.2.3.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.32

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 131,872 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 131872 first appears in π at position 276,803 of the decimal expansion (the 276,803ordinal-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