Live analysis

131,937

131,937 is a composite number, odd.

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.).

131,937 (one hundred thirty-one thousand nine hundred thirty-seven) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 13 × 17 × 199. Written other ways, in hexadecimal, 0x20361.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

131,925 131,926 131,927 131,928 131,929 131,930 131,931 131,932 131,933 131,934 131,935 131,936 131,937 131,938 131,939 131,940 131,941 131,942 131,943 131,944 131,945 131,946 131,947 131,948 131,949

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 24
Digit product: 567
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 739,131
Recamán's sequence: a(228,498) = 131,937
Square (n²): 17,407,371,969
Cube (n³): 2,296,676,435,473,953
Divisor count: 16
σ(n) — sum of divisors: 201,600
φ(n) — Euler's totient: 76,032
Sum of prime factors: 232

Primality

Prime factorization: 3 × 13 × 17 × 199

Nearest primes: 131,933 (−4) · 131,939 (+2)

Divisors & multiples

All divisors (16)

1 · 3 · 13 · 17 · 39 · 51 · 199 · 221 · 597 · 663 · 2587 · 3383 · 7761 · 10149 · 43979 · 131937

Aliquot sum (sum of proper divisors): 69,663

Factor pairs (a × b = 131,937)

1 × 131937

3 × 43979

13 × 10149

17 × 7761

39 × 3383

51 × 2587

199 × 663

221 × 597

First multiples

131,937 · 263,874 (double) · 395,811 · 527,748 · 659,685 · 791,622 · 923,559 · 1,055,496 · 1,187,433 · 1,319,370

Sums & aliquot sequence

As consecutive integers: 65,968 + 65,969 43,978 + 43,979 + 43,980 21,987 + 21,988 + 21,989 + 21,990 + 21,991 + 21,992 10,143 + 10,144 + … + 10,155

Aliquot sequence: 131,937 → 69,663 → 31,713 → 15,951 → 7,009 → 207 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√131,937 = [363; (4, 3, 10, 4, 1, 1, 7, 1, 3, 1, 8, 1, 1, 1, 3, 2, 2, 10, 1, 15, 1, 54, 1, 15, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-one thousand nine hundred thirty-seven
Ordinal: 131937th
Binary: 100000001101100001
Octal: 401541
Hexadecimal: 0x20361
Base64: AgNh
One's complement: 4,294,835,358 (32-bit)
Scientific notation: 1.31937 × 10⁵
As a duration: 131,937 s = 1 day, 12 hours, 38 minutes, 57 seconds

In other bases

ternary (3) 20200222120

quaternary (4) 200031201

quinary (5) 13210222

senary (6) 2454453

septenary (7) 1056441

nonary (9) 220876

undecimal (11) 90143

duodecimal (12) 64429

tridecimal (13) 48090

tetradecimal (14) 36121

pentadecimal (15) 2915c

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλαϡλζʹ
Mayan (base 20): 𝋰·𝋩·𝋰·𝋱
Chinese: 一十三萬一千九百三十七
Chinese (financial): 壹拾參萬壹仟玖佰參拾柒

In other modern scripts

Eastern Arabic ١٣١٩٣٧ Devanagari १३१९३७ Bengali ১৩১৯৩৭ Tamil ௧௩௧௯௩௭ Thai ๑๓๑๙๓๗ Tibetan ༡༣༡༩༣༧ Khmer ១៣១៩៣៧ Lao ໑໓໑໙໓໗ Burmese ၁၃၁၉၃၇

Also seen as

Unicode codepoint

𠍡

CJK Unified Ideograph-20361

U+20361

Other letter (Lo)

UTF-8 encoding: F0 A0 8D A1 (4 bytes).

Lookup U+20361 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020361

RGB(2, 3, 97)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.97.

Address: 0.2.3.97
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.3.97

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 131,937 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 US131,937 on Google Patents ↗ Look up on USPTO ↗