Live analysis

1,008,108

1,008,108 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.).

1,008,108 (one million eight thousand one hundred eight) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 41 × 683. Its proper divisors sum to 1,606,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61EC.

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

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

1,008,096 1,008,097 1,008,098 1,008,099 1,008,100 1,008,101 1,008,102 1,008,103 1,008,104 1,008,105 1,008,106 1,008,107 1,008,108 1,008,109 1,008,110 1,008,111 1,008,112 1,008,113 1,008,114 1,008,115 1,008,116 1,008,117 1,008,118 1,008,119 1,008,120

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,018,001
Flips to (rotate 180°): 8,018,001
Recamán's sequence: a(349,235) = 1,008,108
Square (n²): 1,016,281,739,664
Cube (n³): 1,024,521,752,009,195,712
Divisor count: 36
σ(n) — sum of divisors: 2,614,248
φ(n) — Euler's totient: 327,360
Sum of prime factors: 734

Primality

Prime factorization: 2 ² × 3 ² × 41 × 683

Nearest primes: 1,008,101 (−7) · 1,008,131 (+23)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 41 · 82 · 123 · 164 · 246 · 369 · 492 · 683 · 738 · 1366 · 1476 · 2049 · 2732 · 4098 · 6147 · 8196 · 12294 · 24588 · 28003 · 56006 · 84009 · 112012 · 168018 · 252027 · 336036 · 504054 (half) · 1008108

Aliquot sum (sum of proper divisors): 1,606,140

Factor pairs (a × b = 1,008,108)

1 × 1008108

2 × 504054

3 × 336036

4 × 252027

6 × 168018

9 × 112012

12 × 84009

18 × 56006

36 × 28003

41 × 24588

82 × 12294

123 × 8196

164 × 6147

246 × 4098

369 × 2732

492 × 2049

683 × 1476

738 × 1366

First multiples

1,008,108 · 2,016,216 (double) · 3,024,324 · 4,032,432 · 5,040,540 · 6,048,648 · 7,056,756 · 8,064,864 · 9,072,972 · 10,081,080

Sums & aliquot sequence

As consecutive integers: 336,035 + 336,036 + 336,037 126,010 + 126,011 + … + 126,017 112,008 + 112,009 + … + 112,016 41,993 + 41,994 + … + 42,016

Aliquot sequence: 1,008,108 → 1,606,140 → 3,266,364 → 4,389,396 → 6,871,980 → 12,741,684 → 16,988,940 → 36,311,076 → 59,284,788 → 89,737,932 → 127,990,068 → 172,074,732 → 229,433,004 → 392,177,076 → 533,187,084 → 712,472,884 → 543,456,560 — unresolved within range

Continued fraction of √n

√1,008,108 = [1004; (21, 1, 4, 1, 3, 3, 1, 1, 6, 1, 1, 1, 2, 2, 4, 3, 1, 2, 4, 1, 4, 1, 3, 1, …)]

Representations

In words: one million eight thousand one hundred eight
Ordinal: 1008108th
Binary: 11110110000111101100
Octal: 3660754
Hexadecimal: 0xF61EC
Base64: D2Hs
One's complement: 4,293,959,187 (32-bit)
Scientific notation: 1.008108 × 10⁶
As a duration: 1,008,108 s = 11 days, 16 hours, 1 minute, 48 seconds

In other bases

ternary (3) 1220012212100

quaternary (4) 3312013230

quinary (5) 224224413

senary (6) 33335100

septenary (7) 11366043

nonary (9) 1805770

undecimal (11) 629452

duodecimal (12) 407490

tridecimal (13) 293b1a

tetradecimal (14) 1c355a

pentadecimal (15) 14da73

As an angle

1,008,108° = 2,800 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬八千一百零八
Chinese (financial): 壹佰萬捌仟壹佰零捌

In other modern scripts

Eastern Arabic ١٠٠٨١٠٨ Devanagari १००८१०८ Bengali ১০০৮১০৮ Tamil ௧௦௦௮௧௦௮ Thai ๑๐๐๘๑๐๘ Tibetan ༡༠༠༨༡༠༨ Khmer ១០០៨១០៨ Lao ໑໐໐໘໑໐໘ Burmese ၁၀၀၈၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008108, here are decompositions:

7 + 1008101 = 1008108
67 + 1008041 = 1008108
71 + 1008037 = 1008108
107 + 1008001 = 1008108
131 + 1007977 = 1008108
137 + 1007971 = 1008108
149 + 1007959 = 1008108
151 + 1007957 = 1008108

Showing the first eight; more decompositions exist.

Hex color

#0F61EC

RGB(15, 97, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.236.

Address: 0.15.97.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.236

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 1,008,108 and was likely granted around 1911.

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

Look up US1,008,108 on Google Patents ↗ Look up on USPTO ↗