Live analysis

131,988

131,988 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.).

131,988 (one hundred thirty-one thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 17 × 647. Its proper divisors sum to 194,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20394.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

131,976 131,977 131,978 131,979 131,980 131,981 131,982 131,983 131,984 131,985 131,986 131,987 131,988 131,989 131,990 131,991 131,992 131,993 131,994 131,995 131,996 131,997 131,998 131,999 132,000

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 1,728
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 889,131
Recamán's sequence: a(228,396) = 131,988
Square (n²): 17,420,832,144
Cube (n³): 2,299,340,793,022,272
Divisor count: 24
σ(n) — sum of divisors: 326,592
φ(n) — Euler's totient: 41,344
Sum of prime factors: 671

Primality

Prime factorization: 2 ² × 3 × 17 × 647

Nearest primes: 131,969 (−19) · 132,001 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 68 · 102 · 204 · 647 · 1294 · 1941 · 2588 · 3882 · 7764 · 10999 · 21998 · 32997 · 43996 · 65994 (half) · 131988

Aliquot sum (sum of proper divisors): 194,604

Factor pairs (a × b = 131,988)

1 × 131988

2 × 65994

3 × 43996

4 × 32997

6 × 21998

12 × 10999

17 × 7764

34 × 3882

51 × 2588

68 × 1941

102 × 1294

204 × 647

First multiples

131,988 · 263,976 (double) · 395,964 · 527,952 · 659,940 · 791,928 · 923,916 · 1,055,904 · 1,187,892 · 1,319,880

Sums & aliquot sequence

As consecutive integers: 43,995 + 43,996 + 43,997 16,495 + 16,496 + … + 16,502 7,756 + 7,757 + … + 7,772 5,488 + 5,489 + … + 5,511

Aliquot sequence: 131,988 → 194,604 → 259,500 → 500,532 → 690,924 → 1,102,868 → 1,004,524 → 810,324 → 1,395,264 → 2,695,152 → 4,267,448 → 3,757,552 → 3,522,736 → 4,405,328 → 4,501,840 → 7,461,680 → 10,803,520 — unresolved within range

Continued fraction of √n

√131,988 = [363; (3, 3, 6, 4, 15, 4, 1, 1, 3, 1, 1, 55, 3, 45, 12, 3, 2, 2, 3, 1, 1, 3, 1, 2, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-one thousand nine hundred eighty-eight
Ordinal: 131988th
Binary: 100000001110010100
Octal: 401624
Hexadecimal: 0x20394
Base64: AgOU
One's complement: 4,294,835,307 (32-bit)
Scientific notation: 1.31988 × 10⁵
As a duration: 131,988 s = 1 day, 12 hours, 39 minutes, 48 seconds

In other bases

ternary (3) 20201001110

quaternary (4) 200032110

quinary (5) 13210423

senary (6) 2455020

septenary (7) 1056543

nonary (9) 221043

undecimal (11) 9018a

duodecimal (12) 64470

tridecimal (13) 480cc

tetradecimal (14) 3615a

pentadecimal (15) 29193

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλαϡπηʹ
Mayan (base 20): 𝋰·𝋩·𝋳·𝋨
Chinese: 一十三萬一千九百八十八
Chinese (financial): 壹拾參萬壹仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١٣١٩٨٨ Devanagari १३१९८८ Bengali ১৩১৯৮৮ Tamil ௧௩௧௯௮௮ Thai ๑๓๑๙๘๘ Tibetan ༡༣༡༩༨༨ Khmer ១៣១៩៨៨ Lao ໑໓໑໙໘໘ Burmese ၁၃၁၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131988, here are decompositions:

19 + 131969 = 131988
29 + 131959 = 131988
41 + 131947 = 131988
47 + 131941 = 131988
61 + 131927 = 131988
79 + 131909 = 131988
89 + 131899 = 131988
97 + 131891 = 131988

Showing the first eight; more decompositions exist.

Unicode codepoint

𠎔

CJK Unified Ideograph-20394

U+20394

Other letter (Lo)

UTF-8 encoding: F0 A0 8E 94 (4 bytes).

Lookup U+20394 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020394

RGB(2, 3, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.148.

Address: 0.2.3.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.3.148

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 131,988 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 US131,988 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 131988 first appears in π at position 96,141 of the decimal expansion (the 96,141ordinal-suffix:st 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.

Look up 131988 on Pi Search ↗