Live analysis

108,008

108,008 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.).

108,008 (one hundred eight thousand eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 23 × 587. Written other ways, in hexadecimal, 0x1A5E8.

Arithmetic Number Deficient Number Flippable Happy Number Odious Number Recamán's Sequence

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

107,996 107,997 107,998 107,999 108,000 108,001 108,002 108,003 108,004 108,005 108,006 108,007 108,008 108,009 108,010 108,011 108,012 108,013 108,014 108,015 108,016 108,017 108,018 108,019 108,020

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 800,801
Flips to (rotate 180°): 800,801
Recamán's sequence: a(46,955) = 108,008
Square (n²): 11,665,728,064
Cube (n³): 1,259,991,956,736,512
Divisor count: 16
σ(n) — sum of divisors: 211,680
φ(n) — Euler's totient: 51,568
Sum of prime factors: 616

Primality

Prime factorization: 2 ³ × 23 × 587

Nearest primes: 108,007 (−1) · 108,011 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 23 · 46 · 92 · 184 · 587 · 1174 · 2348 · 4696 · 13501 · 27002 · 54004 (half) · 108008

Aliquot sum (sum of proper divisors): 103,672

Factor pairs (a × b = 108,008)

1 × 108008

2 × 54004

4 × 27002

8 × 13501

23 × 4696

46 × 2348

92 × 1174

184 × 587

First multiples

108,008 · 216,016 (double) · 324,024 · 432,032 · 540,040 · 648,048 · 756,056 · 864,064 · 972,072 · 1,080,080

Sums & aliquot sequence

As consecutive integers: 6,743 + 6,744 + … + 6,758 4,685 + 4,686 + … + 4,707 110 + 111 + … + 477

Aliquot sequence: 108,008 → 103,672 → 90,728 → 95,032 → 108,728 → 95,152 → 99,528 → 202,872 → 315,528 → 473,352 → 835,368 → 1,253,112 → 2,327,688 → 4,551,912 → 7,878,168 → 14,006,232 → 26,162,208 — unresolved within range

Continued fraction of √n

√108,008 = [328; (1, 1, 1, 4, 1, 1, 1, 2, 1, 3, 6, 8, 1, 5, 2, 3, 28, 3, 2, 5, 1, 8, 6, 3, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one hundred eight thousand eight
Ordinal: 108008th
Binary: 11010010111101000
Octal: 322750
Hexadecimal: 0x1A5E8
Base64: AaXo
One's complement: 4,294,859,287 (32-bit)
Scientific notation: 1.08008 × 10⁵
As a duration: 108,008 s = 1 day, 6 hours, 8 seconds

In other bases

ternary (3) 12111011022

quaternary (4) 122113220

quinary (5) 11424013

senary (6) 2152012

septenary (7) 626615

nonary (9) 174138

undecimal (11) 7416a

duodecimal (12) 52608

tridecimal (13) 3a214

tetradecimal (14) 2b50c

pentadecimal (15) 22008

As an angle

108,008° = 300 × 360° + 8°

8° ≈ 0.14 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 · 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρηηʹ
Mayan (base 20): 𝋭·𝋪·𝋠·𝋨
Chinese: 十萬八千零八
Chinese (financial): 壹拾萬捌仟零捌

In other modern scripts

Eastern Arabic ١٠٨٠٠٨ Devanagari १०८००८ Bengali ১০৮০০৮ Tamil ௧௦௮௦௦௮ Thai ๑๐๘๐๐๘ Tibetan ༡༠༨༠༠༨ Khmer ១០៨០០៨ Lao ໑໐໘໐໐໘ Burmese ၁၀၈၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108008, here are decompositions:

37 + 107971 = 108008
67 + 107941 = 108008
127 + 107881 = 108008
151 + 107857 = 108008
181 + 107827 = 108008
337 + 107671 = 108008
367 + 107641 = 108008
409 + 107599 = 108008

Showing the first eight; more decompositions exist.

Hex color

#01A5E8

RGB(1, 165, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.232.

Address: 0.1.165.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.165.232

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 108,008 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US108,008 on Google Patents ↗ Look up on USPTO ↗