Live analysis

131,006

131,006 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.).

Arithmetic Number Cube-Free Deficient Number Odious Number Sphenic Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

130,994 130,995 130,996 130,997 130,998 130,999 131,000 131,001 131,002 131,003 131,004 131,005 131,006 131,007 131,008 131,009 131,010 131,011 131,012 131,013 131,014 131,015 131,016 131,017 131,018

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 17 bits
Reversed: 600,131
Square (n²): 17,162,572,036
Cube (n³): 2,248,399,912,148,216
Divisor count: 8
σ(n) — sum of divisors: 202,944
φ(n) — Euler's totient: 63,360
Sum of prime factors: 2,146

Primality

Prime factorization: 2 × 31 × 2113

Nearest primes: 130,987 (−19) · 131,009 (+3)

Divisors & multiples

All divisors (8)

1 · 2 · 31 · 62 · 2113 · 4226 · 65503 (half) · 131006

Aliquot sum (sum of proper divisors): 71,938

Factor pairs (a × b = 131,006)

1 × 131006

2 × 65503

31 × 4226

62 × 2113

First multiples

131,006 · 262,012 (double) · 393,018 · 524,024 · 655,030 · 786,036 · 917,042 · 1,048,048 · 1,179,054 · 1,310,060

Sums & aliquot sequence

As consecutive integers: 32,750 + 32,751 + 32,752 + 32,753 4,211 + 4,212 + … + 4,241 995 + 996 + … + 1,118

Aliquot sequence: 131,006 → 71,938 → 35,972 → 33,706 → 19,574 → 9,790 → 9,650 → 8,392 → 7,358 → 4,570 → 3,674 → 2,374 → 1,190 → 1,402 → 704 → 820 → 944 — unresolved within range

Continued fraction of √n

√131,006 = [361; (1, 18, 19, 1, 1, 20, 5, 1, 7, 1, 2, 7, 24, 1, 4, 1, 2, 1, 5, 2, 1, 9, 1, 1, …)]

Representations

In words: one hundred thirty-one thousand six
Ordinal: 131006th
Binary: 11111111110111110
Octal: 377676
Hexadecimal: 0x1FFBE
Base64: Af++
One's complement: 4,294,836,289 (32-bit)
Scientific notation: 1.31006 × 10⁵
As a duration: 131,006 s = 1 day, 12 hours, 23 minutes, 26 seconds

In other bases

ternary (3) 20122201002

quaternary (4) 133332332

quinary (5) 13143011

senary (6) 2450302

septenary (7) 1053641

nonary (9) 218632

undecimal (11) 8a477

duodecimal (12) 63992

tridecimal (13) 47825

tetradecimal (14) 35a58

pentadecimal (15) 28c3b

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλαϛʹ
Mayan (base 20): 𝋰·𝋧·𝋪·𝋦
Chinese: 一十三萬一千零六
Chinese (financial): 壹拾參萬壹仟零陸

In other modern scripts

Eastern Arabic ١٣١٠٠٦ Devanagari १३१००६ Bengali ১৩১০০৬ Tamil ௧௩௧௦௦௬ Thai ๑๓๑๐๐๖ Tibetan ༡༣༡༠༠༦ Khmer ១៣១០០៦ Lao ໑໓໑໐໐໖ Burmese ၁၃၁၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131006, here are decompositions:

19 + 130987 = 131006
37 + 130969 = 131006
79 + 130927 = 131006
163 + 130843 = 131006
199 + 130807 = 131006
223 + 130783 = 131006
277 + 130729 = 131006
307 + 130699 = 131006

Showing the first eight; more decompositions exist.

Hex color

#01FFBE

RGB(1, 255, 190)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.190.

Address: 0.1.255.190
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.255.190

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 131,006 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 US131,006 on Google Patents ↗ Look up on USPTO ↗