Live analysis

131,724

131,724 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.).

131,724 (one hundred thirty-one thousand seven hundred twenty-four) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,659. Its proper divisors sum to 201,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2028C.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

131,712 131,713 131,714 131,715 131,716 131,717 131,718 131,719 131,720 131,721 131,722 131,723 131,724 131,725 131,726 131,727 131,728 131,729 131,730 131,731 131,732 131,733 131,734 131,735 131,736

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 168
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 427,131
Recamán's sequence: a(228,924) = 131,724
Square (n²): 17,351,212,176
Cube (n³): 2,285,571,072,671,424
Divisor count: 18
σ(n) — sum of divisors: 333,060
φ(n) — Euler's totient: 43,896
Sum of prime factors: 3,669

Primality

Prime factorization: 2 ² × 3 ² × 3659

Nearest primes: 131,713 (−11) · 131,731 (+7)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3659 · 7318 · 10977 · 14636 · 21954 · 32931 · 43908 · 65862 (half) · 131724

Aliquot sum (sum of proper divisors): 201,336

Factor pairs (a × b = 131,724)

1 × 131724

2 × 65862

3 × 43908

4 × 32931

6 × 21954

9 × 14636

12 × 10977

18 × 7318

36 × 3659

First multiples

131,724 · 263,448 (double) · 395,172 · 526,896 · 658,620 · 790,344 · 922,068 · 1,053,792 · 1,185,516 · 1,317,240

Sums & aliquot sequence

As consecutive integers: 43,907 + 43,908 + 43,909 16,462 + 16,463 + … + 16,469 14,632 + 14,633 + … + 14,640 5,477 + 5,478 + … + 5,500

Aliquot sequence: 131,724 → 201,336 → 302,064 → 650,256 → 1,254,384 → 2,382,288 → 3,974,448 → 6,628,048 → 9,370,928 → 12,056,272 → 12,386,608 → 16,111,568 → 19,052,848 → 19,516,112 → 30,694,960 → 42,978,896 → 44,229,808 — unresolved within range

Continued fraction of √n

√131,724 = [362; (1, 15, 7, 1, 1, 2, 1, 2, 3, 1, 7, 8, 2, 2, 3, 4, 2, 4, 1, 1, 3, 1, 3, 1, …)]

Representations

In words: one hundred thirty-one thousand seven hundred twenty-four
Ordinal: 131724th
Binary: 100000001010001100
Octal: 401214
Hexadecimal: 0x2028C
Base64: AgKM
One's complement: 4,294,835,571 (32-bit)
Scientific notation: 1.31724 × 10⁵
As a duration: 131,724 s = 1 day, 12 hours, 35 minutes, 24 seconds

In other bases

ternary (3) 20200200200

quaternary (4) 200022030

quinary (5) 13203344

senary (6) 2453500

septenary (7) 1056015

nonary (9) 220620

undecimal (11) 8aa6a

duodecimal (12) 64290

tridecimal (13) 47c58

tetradecimal (14) 3600c

pentadecimal (15) 29069

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλαψκδʹ
Mayan (base 20): 𝋰·𝋩·𝋦·𝋤
Chinese: 一十三萬一千七百二十四
Chinese (financial): 壹拾參萬壹仟柒佰貳拾肆

In other modern scripts

Eastern Arabic ١٣١٧٢٤ Devanagari १३१७२४ Bengali ১৩১৭২৪ Tamil ௧௩௧௭௨௪ Thai ๑๓๑๗๒๔ Tibetan ༡༣༡༧༢༤ Khmer ១៣១៧២៤ Lao ໑໓໑໗໒໔ Burmese ၁၃၁၇၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131724, here are decompositions:

11 + 131713 = 131724
13 + 131711 = 131724
17 + 131707 = 131724
23 + 131701 = 131724
37 + 131687 = 131724
53 + 131671 = 131724
83 + 131641 = 131724
97 + 131627 = 131724

Showing the first eight; more decompositions exist.

Unicode codepoint

𠊌

CJK Unified Ideograph-2028C

U+2028C

Other letter (Lo)

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

Lookup U+2028C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02028C

RGB(2, 2, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.140.

Address: 0.2.2.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.2.140

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 131,724 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 US131,724 on Google Patents ↗ Look up on USPTO ↗