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131,672

131,672 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.).

131,672 (one hundred thirty-one thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 109 × 151. Written other ways, in hexadecimal, 0x20258.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
252
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
276,131
Recamán's sequence
a(229,028) = 131,672
Square (n²)
17,337,515,584
Cube (n³)
2,282,865,351,976,448
Divisor count
16
σ(n) — sum of divisors
250,800
φ(n) — Euler's totient
64,800
Sum of prime factors
266

Primality

Prime factorization: 2 3 × 109 × 151

Nearest primes: 131,671 (−1) · 131,687 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 109 · 151 · 218 · 302 · 436 · 604 · 872 · 1208 · 16459 · 32918 · 65836 (half) · 131672
Aliquot sum (sum of proper divisors): 119,128
Factor pairs (a × b = 131,672)
1 × 131672
2 × 65836
4 × 32918
8 × 16459
109 × 1208
151 × 872
218 × 604
302 × 436
First multiples
131,672 · 263,344 (double) · 395,016 · 526,688 · 658,360 · 790,032 · 921,704 · 1,053,376 · 1,185,048 · 1,316,720

Sums & aliquot sequence

As consecutive integers: 8,222 + 8,223 + … + 8,237 1,154 + 1,155 + … + 1,262 797 + 798 + … + 947
Aliquot sequence: 131,672 119,128 104,252 81,388 61,048 62,432 60,544 74,096 82,888 84,692 68,524 54,900 120,002 66,298 33,152 44,368 44,912 — unresolved within range

Continued fraction of √n

√131,672 = [362; (1, 6, 2, 14, 2, 1, 9, 1, 1, 4, 1, 3, 2, 2, 103, 3, 1, 3, 103, 2, 2, 3, 1, 4, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand six hundred seventy-two
Ordinal
131672nd
Binary
100000001001011000
Octal
401130
Hexadecimal
0x20258
Base64
AgJY
One's complement
4,294,835,623 (32-bit)
Scientific notation
1.31672 × 10⁵
As a duration
131,672 s = 1 day, 12 hours, 34 minutes, 32 seconds
In other bases
ternary (3) 20200121202
quaternary (4) 200021120
quinary (5) 13203142
senary (6) 2453332
septenary (7) 1055612
nonary (9) 220552
undecimal (11) 8aa22
duodecimal (12) 64248
tridecimal (13) 47c18
tetradecimal (14) 35db2
pentadecimal (15) 29032

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαχοβʹ
Mayan (base 20)
𝋰·𝋩·𝋣·𝋬
Chinese
一十三萬一千六百七十二
Chinese (financial)
壹拾參萬壹仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٣١٦٧٢ Devanagari १३१६७२ Bengali ১৩১৬৭২ Tamil ௧௩௧௬௭௨ Thai ๑๓๑๖๗๒ Tibetan ༡༣༡༦༧༢ Khmer ១៣១៦៧២ Lao ໑໓໑໖໗໒ Burmese ၁၃၁၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131672, here are decompositions:

  • 31 + 131641 = 131672
  • 61 + 131611 = 131672
  • 193 + 131479 = 131672
  • 223 + 131449 = 131672
  • 241 + 131431 = 131672
  • 379 + 131293 = 131672
  • 421 + 131251 = 131672
  • 523 + 131149 = 131672

Showing the first eight; more decompositions exist.

Unicode codepoint
𠉘
CJK Unified Ideograph-20258
U+20258
Other letter (Lo)

UTF-8 encoding: F0 A0 89 98 (4 bytes).

Hex color
#020258
RGB(2, 2, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.88.

Address
0.2.2.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.88

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 131,672 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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