Live analysis

131,832

131,832 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.).

131,832 (one hundred thirty-one thousand eight hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 1,831. Its proper divisors sum to 225,408, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202F8.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

131,820 131,821 131,822 131,823 131,824 131,825 131,826 131,827 131,828 131,829 131,830 131,831 131,832 131,833 131,834 131,835 131,836 131,837 131,838 131,839 131,840 131,841 131,842 131,843 131,844

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 144
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 238,131
Recamán's sequence: a(228,708) = 131,832
Square (n²): 17,379,676,224
Cube (n³): 2,291,197,475,962,368
Divisor count: 24
σ(n) — sum of divisors: 357,240
φ(n) — Euler's totient: 43,920
Sum of prime factors: 1,843

Primality

Prime factorization: 2 ³ × 3 ² × 1831

Nearest primes: 131,797 (−35) · 131,837 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 1831 · 3662 · 5493 · 7324 · 10986 · 14648 · 16479 · 21972 · 32958 · 43944 · 65916 (half) · 131832

Aliquot sum (sum of proper divisors): 225,408

Factor pairs (a × b = 131,832)

1 × 131832

2 × 65916

3 × 43944

4 × 32958

6 × 21972

8 × 16479

9 × 14648

12 × 10986

18 × 7324

24 × 5493

36 × 3662

72 × 1831

First multiples

131,832 · 263,664 (double) · 395,496 · 527,328 · 659,160 · 790,992 · 922,824 · 1,054,656 · 1,186,488 · 1,318,320

Sums & aliquot sequence

As consecutive integers: 43,943 + 43,944 + 43,945 14,644 + 14,645 + … + 14,652 8,232 + 8,233 + … + 8,247 2,723 + 2,724 + … + 2,770

Aliquot sequence: 131,832 → 225,408 → 374,352 → 682,128 → 1,277,072 → 1,197,286 → 598,646 → 320,338 → 160,172 → 132,484 → 120,524 → 97,876 → 73,414 → 51,002 → 36,454 → 23,234 → 11,620 — unresolved within range

Continued fraction of √n

√131,832 = [363; (11, 1, 1, 9, 2, 2, 1, 6, 1, 3, 2, 2, 1, 9, 2, 1, 1, 1, 12, 2, 1, 14, 6, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-one thousand eight hundred thirty-two
Ordinal: 131832nd
Binary: 100000001011111000
Octal: 401370
Hexadecimal: 0x202F8
Base64: AgL4
One's complement: 4,294,835,463 (32-bit)
Scientific notation: 1.31832 × 10⁵
As a duration: 131,832 s = 1 day, 12 hours, 37 minutes, 12 seconds

In other bases

ternary (3) 20200211200

quaternary (4) 200023320

quinary (5) 13204312

senary (6) 2454200

septenary (7) 1056231

nonary (9) 220750

undecimal (11) 90058

duodecimal (12) 64360

tridecimal (13) 4800c

tetradecimal (14) 36088

pentadecimal (15) 290dc

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλαωλβʹ
Mayan (base 20): 𝋰·𝋩·𝋫·𝋬
Chinese: 一十三萬一千八百三十二
Chinese (financial): 壹拾參萬壹仟捌佰參拾貳

In other modern scripts

Eastern Arabic ١٣١٨٣٢ Devanagari १३१८३२ Bengali ১৩১৮৩২ Tamil ௧௩௧௮௩௨ Thai ๑๓๑๘๓๒ Tibetan ༡༣༡༨༣༢ Khmer ១៣១៨៣២ Lao ໑໓໑໘໓໒ Burmese ၁၃၁၈၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131832, here are decompositions:

53 + 131779 = 131832
61 + 131771 = 131832
73 + 131759 = 131832
83 + 131749 = 131832
89 + 131743 = 131832
101 + 131731 = 131832
131 + 131701 = 131832
191 + 131641 = 131832

Showing the first eight; more decompositions exist.

Unicode codepoint

𠋸

CJK Unified Ideograph-202F8

U+202F8

Other letter (Lo)

UTF-8 encoding: F0 A0 8B B8 (4 bytes).

Lookup U+202F8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0202F8

RGB(2, 2, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.248.

Address: 0.2.2.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.2.248

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 131,832 and was likely granted around 1872.

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

Look up US131,832 on Google Patents ↗ Look up on USPTO ↗