Live analysis

131,940

131,940 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.).

131,940 (one hundred thirty-one thousand nine hundred forty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 733. Its proper divisors sum to 268,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20364.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

131,928 131,929 131,930 131,931 131,932 131,933 131,934 131,935 131,936 131,937 131,938 131,939 131,940 131,941 131,942 131,943 131,944 131,945 131,946 131,947 131,948 131,949 131,950 131,951 131,952

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 49,131
Recamán's sequence: a(228,492) = 131,940
Square (n²): 17,408,163,600
Cube (n³): 2,296,833,105,384,000
Divisor count: 36
σ(n) — sum of divisors: 400,764
φ(n) — Euler's totient: 35,136
Sum of prime factors: 748

Primality

Prime factorization: 2 ² × 3 ² × 5 × 733

Nearest primes: 131,939 (−1) · 131,941 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 733 · 1466 · 2199 · 2932 · 3665 · 4398 · 6597 · 7330 · 8796 · 10995 · 13194 · 14660 · 21990 · 26388 · 32985 · 43980 · 65970 (half) · 131940

Aliquot sum (sum of proper divisors): 268,824

Factor pairs (a × b = 131,940)

1 × 131940

2 × 65970

3 × 43980

4 × 32985

5 × 26388

6 × 21990

9 × 14660

10 × 13194

12 × 10995

15 × 8796

18 × 7330

20 × 6597

30 × 4398

36 × 3665

45 × 2932

60 × 2199

90 × 1466

180 × 733

First multiples

131,940 · 263,880 (double) · 395,820 · 527,760 · 659,700 · 791,640 · 923,580 · 1,055,520 · 1,187,460 · 1,319,400

Sums & aliquot sequence

As a sum of two squares: 138² + 336² = 186² + 312²

As consecutive integers: 43,979 + 43,980 + 43,981 26,386 + 26,387 + 26,388 + 26,389 + 26,390 16,489 + 16,490 + … + 16,496 14,656 + 14,657 + … + 14,664

Aliquot sequence: 131,940 → 268,824 → 433,896 → 667,704 → 1,043,016 → 1,765,944 → 3,017,016 → 5,154,264 → 9,629,856 → 18,723,924 → 29,888,640 → 73,340,460 → 151,851,780 → 320,577,660 → 726,650,340 → 1,469,571,996 → 1,959,429,356 — unresolved within range

Continued fraction of √n

√131,940 = [363; (4, 4, 20, 1, 1, 11, 2, 1, 1, 14, 4, 2, 1, 3, 3, 9, 3, 1, 19, 2, 2, 1, 3, 11, …)]

Representations

In words: one hundred thirty-one thousand nine hundred forty
Ordinal: 131940th
Binary: 100000001101100100
Octal: 401544
Hexadecimal: 0x20364
Base64: AgNk
One's complement: 4,294,835,355 (32-bit)
Scientific notation: 1.3194 × 10⁵
As a duration: 131,940 s = 1 day, 12 hours, 39 minutes

In other bases

ternary (3) 20200222200

quaternary (4) 200031210

quinary (5) 13210230

senary (6) 2454500

septenary (7) 1056444

nonary (9) 220880

undecimal (11) 90146

duodecimal (12) 64430

tridecimal (13) 48093

tetradecimal (14) 36124

pentadecimal (15) 29160

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρλαϡμʹ
Mayan (base 20): 𝋰·𝋩·𝋱·𝋠
Chinese: 一十三萬一千九百四十
Chinese (financial): 壹拾參萬壹仟玖佰肆拾

In other modern scripts

Eastern Arabic ١٣١٩٤٠ Devanagari १३१९४० Bengali ১৩১৯৪০ Tamil ௧௩௧௯௪௦ Thai ๑๓๑๙๔๐ Tibetan ༡༣༡༩༤༠ Khmer ១៣១៩៤០ Lao ໑໓໑໙໔໐ Burmese ၁၃၁၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131940, here are decompositions:

7 + 131933 = 131940
13 + 131927 = 131940
31 + 131909 = 131940
41 + 131899 = 131940
47 + 131893 = 131940
79 + 131861 = 131940
101 + 131839 = 131940
103 + 131837 = 131940

Showing the first eight; more decompositions exist.

Unicode codepoint

𠍤

CJK Unified Ideograph-20364

U+20364

Other letter (Lo)

UTF-8 encoding: F0 A0 8D A4 (4 bytes).

Lookup U+20364 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020364

RGB(2, 3, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.100.

Address: 0.2.3.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.3.100

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 131,940 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 US131,940 on Google Patents ↗ Look up on USPTO ↗