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131,432

131,432 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.).

131,432 (one hundred thirty-one thousand four hundred thirty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,347. Its proper divisors sum to 150,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20168.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
72
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
234,131
Recamán's sequence
a(229,508) = 131,432
Square (n²)
17,274,370,624
Cube (n³)
2,270,405,079,853,568
Divisor count
16
σ(n) — sum of divisors
281,760
φ(n) — Euler's totient
56,304
Sum of prime factors
2,360

Primality

Prime factorization: 2 3 × 7 × 2347

Nearest primes: 131,431 (−1) · 131,437 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2347 · 4694 · 9388 · 16429 · 18776 · 32858 · 65716 (half) · 131432
Aliquot sum (sum of proper divisors): 150,328
Factor pairs (a × b = 131,432)
1 × 131432
2 × 65716
4 × 32858
7 × 18776
8 × 16429
14 × 9388
28 × 4694
56 × 2347
First multiples
131,432 · 262,864 (double) · 394,296 · 525,728 · 657,160 · 788,592 · 920,024 · 1,051,456 · 1,182,888 · 1,314,320

Sums & aliquot sequence

As consecutive integers: 18,773 + 18,774 + … + 18,779 8,207 + 8,208 + … + 8,222 1,118 + 1,119 + … + 1,229
Aliquot sequence: 131,432 150,328 166,472 145,678 91,490 96,862 56,138 28,072 31,778 15,892 13,088 12,742 7,274 3,640 6,440 10,840 13,640 — unresolved within range

Continued fraction of √n

√131,432 = [362; (1, 1, 6, 1, 1, 5, 1, 7, 2, 1, 1, 4, 1, 2, 3, 3, 2, 5, 1, 1, 3, 1, 3, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand four hundred thirty-two
Ordinal
131432nd
Binary
100000000101101000
Octal
400550
Hexadecimal
0x20168
Base64
AgFo
One's complement
4,294,835,863 (32-bit)
Scientific notation
1.31432 × 10⁵
As a duration
131,432 s = 1 day, 12 hours, 30 minutes, 32 seconds
In other bases
ternary (3) 20200021212
quaternary (4) 200011220
quinary (5) 13201212
senary (6) 2452252
septenary (7) 1055120
nonary (9) 220255
undecimal (11) 8a824
duodecimal (12) 64088
tridecimal (13) 47a92
tetradecimal (14) 35c80
pentadecimal (15) 28e22

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαυλβʹ
Mayan (base 20)
𝋰·𝋨·𝋫·𝋬
Chinese
一十三萬一千四百三十二
Chinese (financial)
壹拾參萬壹仟肆佰參拾貳
In other modern scripts
Eastern Arabic ١٣١٤٣٢ Devanagari १३१४३२ Bengali ১৩১৪৩২ Tamil ௧௩௧௪௩௨ Thai ๑๓๑๔๓๒ Tibetan ༡༣༡༤༣༢ Khmer ១៣១៤៣២ Lao ໑໓໑໔໓໒ Burmese ၁၃၁၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131432, here are decompositions:

  • 19 + 131413 = 131432
  • 61 + 131371 = 131432
  • 139 + 131293 = 131432
  • 181 + 131251 = 131432
  • 211 + 131221 = 131432
  • 229 + 131203 = 131432
  • 283 + 131149 = 131432
  • 331 + 131101 = 131432

Showing the first eight; more decompositions exist.

Unicode codepoint
𠅨
CJK Unified Ideograph-20168
U+20168
Other letter (Lo)

UTF-8 encoding: F0 A0 85 A8 (4 bytes).

Hex color
#020168
RGB(2, 1, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.104.

Address
0.2.1.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.104

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 131,432 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 131432 first appears in π at position 764,835 of the decimal expansion (the 764,835ordinal-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.