Live analysis

108,012

108,012 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.).

108,012 (one hundred eight thousand twelve) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 9,001. Its proper divisors sum to 144,044, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A5EC.

Abundant Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Moran Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

108,000 108,001 108,002 108,003 108,004 108,005 108,006 108,007 108,008 108,009 108,010 108,011 108,012 108,013 108,014 108,015 108,016 108,017 108,018 108,019 108,020 108,021 108,022 108,023 108,024

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 210,801
Recamán's sequence: a(46,963) = 108,012
Square (n²): 11,666,592,144
Cube (n³): 1,260,131,950,657,728
Divisor count: 12
σ(n) — sum of divisors: 252,056
φ(n) — Euler's totient: 36,000
Sum of prime factors: 9,008

Primality

Prime factorization: 2 ² × 3 × 9001

Nearest primes: 108,011 (−1) · 108,013 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 9001 · 18002 · 27003 · 36004 · 54006 (half) · 108012

Aliquot sum (sum of proper divisors): 144,044

Factor pairs (a × b = 108,012)

1 × 108012

2 × 54006

3 × 36004

4 × 27003

6 × 18002

12 × 9001

First multiples

108,012 · 216,024 (double) · 324,036 · 432,048 · 540,060 · 648,072 · 756,084 · 864,096 · 972,108 · 1,080,120

Sums & aliquot sequence

As consecutive integers: 36,003 + 36,004 + 36,005 13,498 + 13,499 + … + 13,505 4,489 + 4,490 + … + 4,512

Aliquot sequence: 108,012 → 144,044 → 108,040 → 145,040 → 257,836 → 200,076 → 266,796 → 407,696 → 394,336 → 382,076 → 315,796 → 279,456 → 482,592 → 902,400 → 2,139,072 → 3,963,024 → 8,562,216 — unresolved within range

Continued fraction of √n

√108,012 = [328; (1, 1, 1, 6, 1, 4, 13, 1, 3, 1, 1, 5, 2, 9, 14, 1, 4, 1, 81, 3, 59, 2, 2, 1, …)]

Representations

In words: one hundred eight thousand twelve
Ordinal: 108012th
Binary: 11010010111101100
Octal: 322754
Hexadecimal: 0x1A5EC
Base64: AaXs
One's complement: 4,294,859,283 (32-bit)
Scientific notation: 1.08012 × 10⁵
As a duration: 108,012 s = 1 day, 6 hours, 12 seconds

In other bases

ternary (3) 12111011110

quaternary (4) 122113230

quinary (5) 11424022

senary (6) 2152020

septenary (7) 626622

nonary (9) 174143

undecimal (11) 74173

duodecimal (12) 52610

tridecimal (13) 3a218

tetradecimal (14) 2b512

pentadecimal (15) 2200c

As an angle

108,012° = 300 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 · 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺
Greek (Milesian): ͵ρηιβʹ
Mayan (base 20): 𝋭·𝋪·𝋠·𝋬
Chinese: 十萬八千零一十二
Chinese (financial): 壹拾萬捌仟零壹拾貳

In other modern scripts

Eastern Arabic ١٠٨٠١٢ Devanagari १०८०१२ Bengali ১০৮০১২ Tamil ௧௦௮௦௧௨ Thai ๑๐๘๐๑๒ Tibetan ༡༠༨༠༡༢ Khmer ១០៨០១២ Lao ໑໐໘໐໑໒ Burmese ၁၀၈၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108012, here are decompositions:

5 + 108007 = 108012
13 + 107999 = 108012
31 + 107981 = 108012
41 + 107971 = 108012
61 + 107951 = 108012
71 + 107941 = 108012
89 + 107923 = 108012
109 + 107903 = 108012

Showing the first eight; more decompositions exist.

Hex color

#01A5EC

RGB(1, 165, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.236.

Address: 0.1.165.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.165.236

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 108,012 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 US108,012 on Google Patents ↗ Look up on USPTO ↗