Live analysis

1,008,112

1,008,112 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.).

1,008,112 (one million eight thousand one hundred twelve) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 9,001. Its proper divisors sum to 1,224,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61F0.

Abundant Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

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 1,008,121 1,008,122 1,008,123 1,008,124

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 2,118,001
Recamán's sequence: a(349,227) = 1,008,112
Square (n²): 1,016,289,804,544
Cube (n³): 1,024,533,947,438,460,928
Divisor count: 20
σ(n) — sum of divisors: 2,232,496
φ(n) — Euler's totient: 432,000
Sum of prime factors: 9,016

Primality

Prime factorization: 2 ⁴ × 7 × 9001

Nearest primes: 1,008,101 (−11) · 1,008,131 (+19)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 9001 · 18002 · 36004 · 63007 · 72008 · 126014 · 144016 · 252028 · 504056 (half) · 1008112

Aliquot sum (sum of proper divisors): 1,224,384

Factor pairs (a × b = 1,008,112)

1 × 1008112

2 × 504056

4 × 252028

7 × 144016

8 × 126014

14 × 72008

16 × 63007

28 × 36004

56 × 18002

112 × 9001

First multiples

1,008,112 · 2,016,224 (double) · 3,024,336 · 4,032,448 · 5,040,560 · 6,048,672 · 7,056,784 · 8,064,896 · 9,073,008 · 10,081,120

Sums & aliquot sequence

As consecutive integers: 144,013 + 144,014 + … + 144,019 31,488 + 31,489 + … + 31,519 4,389 + 4,390 + … + 4,612

Aliquot sequence: 1,008,112 → 1,224,384 → 2,481,984 → 4,914,496 → 5,413,652 → 4,124,044 → 3,261,180 → 6,927,684 → 9,236,940 → 16,626,660 → 30,215,772 → 46,163,076 → 62,663,964 → 100,000,356 → 133,333,836 → 178,126,068 → 263,426,316 — unresolved within range

Continued fraction of √n

√1,008,112 = [1004; (20, 1, 11, 13, 1, 6, 4, 1, 1, 1, 1, 12, 1, 23, 1, 6, 2, 1, 1, 8, 1, 7, 5, 1, …)]

Representations

In words: one million eight thousand one hundred twelve
Ordinal: 1008112th
Binary: 11110110000111110000
Octal: 3660760
Hexadecimal: 0xF61F0
Base64: D2Hw
One's complement: 4,293,959,183 (32-bit)
Scientific notation: 1.008112 × 10⁶
As a duration: 1,008,112 s = 11 days, 16 hours, 1 minute, 52 seconds

In other bases

ternary (3) 1220012212111

quaternary (4) 3312013300

quinary (5) 224224422

senary (6) 33335104

septenary (7) 11366050

nonary (9) 1805774

undecimal (11) 629456

duodecimal (12) 407494

tridecimal (13) 293b21

tetradecimal (14) 1c3560

pentadecimal (15) 14da77

As an angle

1,008,112° = 2,800 × 360° + 112°

112° ≈ 1.955 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Chinese: 一百萬八千一百一十二
Chinese (financial): 壹佰萬捌仟壹佰壹拾貳

In other modern scripts

Eastern Arabic ١٠٠٨١١٢ Devanagari १००८११२ Bengali ১০০৮১১২ Tamil ௧௦௦௮௧௧௨ Thai ๑๐๐๘๑๑๒ Tibetan ༡༠༠༨༡༡༢ Khmer ១០០៨១១២ Lao ໑໐໐໘໑໑໒ Burmese ၁၀၀၈၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008112, here are decompositions:

11 + 1008101 = 1008112
71 + 1008041 = 1008112
173 + 1007939 = 1008112
179 + 1007933 = 1008112
191 + 1007921 = 1008112
239 + 1007873 = 1008112
251 + 1007861 = 1008112
293 + 1007819 = 1008112

Showing the first eight; more decompositions exist.

Hex color

#0F61F0

RGB(15, 97, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.240.

Address: 0.15.97.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.240

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 1,008,112 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 US1,008,112 on Google Patents ↗ Look up on USPTO ↗