Live analysis

131,008

131,008 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.).

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

130,996 130,997 130,998 130,999 131,000 131,001 131,002 131,003 131,004 131,005 131,006 131,007 131,008 131,009 131,010 131,011 131,012 131,013 131,014 131,015 131,016 131,017 131,018 131,019 131,020

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Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 800,131
Square (n²): 17,163,096,064
Cube (n³): 2,248,502,889,152,512
Divisor count: 28
σ(n) — sum of divisors: 274,320
φ(n) — Euler's totient: 61,952
Sum of prime factors: 124

Primality

Prime factorization: 2 ⁶ × 23 × 89

Nearest primes: 130,987 (−21) · 131,009 (+1)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 8 · 16 · 23 · 32 · 46 · 64 · 89 · 92 · 178 · 184 · 356 · 368 · 712 · 736 · 1424 · 1472 · 2047 · 2848 · 4094 · 5696 · 8188 · 16376 · 32752 · 65504 (half) · 131008

Aliquot sum (sum of proper divisors): 143,312

Factor pairs (a × b = 131,008)

1 × 131008

2 × 65504

4 × 32752

8 × 16376

16 × 8188

23 × 5696

32 × 4094

46 × 2848

64 × 2047

89 × 1472

92 × 1424

178 × 736

184 × 712

356 × 368

First multiples

131,008 · 262,016 (double) · 393,024 · 524,032 · 655,040 · 786,048 · 917,056 · 1,048,064 · 1,179,072 · 1,310,080

Sums & aliquot sequence

As consecutive integers: 5,685 + 5,686 + … + 5,707 1,428 + 1,429 + … + 1,516 960 + 961 + … + 1,087

Aliquot sequence: 131,008 → 143,312 → 163,030 → 194,666 → 99,958 → 63,338 → 40,342 → 22,874 → 11,440 → 19,808 → 19,252 → 14,446 → 8,018 → 4,702 → 2,354 → 1,534 → 986 — unresolved within range

Continued fraction of √n

√131,008 = [361; (1, 19, 9, 8, 1, 4, 1, 3, 3, 1, 5, 1, 3, 9, 1, 1, 1, 10, 1, 1, 1, 9, 3, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-one thousand eight
Ordinal: 131008th
Binary: 11111111111000000
Octal: 377700
Hexadecimal: 0x1FFC0
Base64: Af/A
One's complement: 4,294,836,287 (32-bit)
Scientific notation: 1.31008 × 10⁵
As a duration: 131,008 s = 1 day, 12 hours, 23 minutes, 28 seconds

In other bases

ternary (3) 20122201011

quaternary (4) 133333000

quinary (5) 13143013

senary (6) 2450304

septenary (7) 1053643

nonary (9) 218634

undecimal (11) 8a479

duodecimal (12) 63994

tridecimal (13) 47827

tetradecimal (14) 35a5a

pentadecimal (15) 28c3d

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλαηʹ
Mayan (base 20): 𝋰·𝋧·𝋪·𝋨
Chinese: 一十三萬一千零八
Chinese (financial): 壹拾參萬壹仟零捌

In other modern scripts

Eastern Arabic ١٣١٠٠٨ Devanagari १३१००८ Bengali ১৩১০০৮ Tamil ௧௩௧௦௦௮ Thai ๑๓๑๐๐๘ Tibetan ༡༣༡༠༠༨ Khmer ១៣១០០៨ Lao ໑໓໑໐໐໘ Burmese ၁၃၁၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131008, here are decompositions:

149 + 130859 = 131008
167 + 130841 = 131008
179 + 130829 = 131008
191 + 130817 = 131008
197 + 130811 = 131008
239 + 130769 = 131008
359 + 130649 = 131008
389 + 130619 = 131008

Showing the first eight; more decompositions exist.

Hex color

#01FFC0

RGB(1, 255, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.192.

Address: 0.1.255.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.255.192

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 131,008 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 US131,008 on Google Patents ↗ Look up on USPTO ↗