Live analysis

1,009,112

1,009,112 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.).

1,009,112 (one million nine thousand one hundred twelve) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 31 × 313. Its proper divisors sum to 1,100,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF65D8.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,009,100 1,009,101 1,009,102 1,009,103 1,009,104 1,009,105 1,009,106 1,009,107 1,009,108 1,009,109 1,009,110 1,009,111 1,009,112 1,009,113 1,009,114 1,009,115 1,009,116 1,009,117 1,009,118 1,009,119 1,009,120 1,009,121 1,009,122 1,009,123 1,009,124

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 2,119,001
Recamán's sequence: a(347,227) = 1,009,112
Square (n²): 1,018,307,028,544
Cube (n³): 1,027,585,842,188,092,928
Divisor count: 32
σ(n) — sum of divisors: 2,110,080
φ(n) — Euler's totient: 449,280
Sum of prime factors: 363

Primality

Prime factorization: 2 ³ × 13 × 31 × 313

Nearest primes: 1,009,097 (−15) · 1,009,121 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 13 · 26 · 31 · 52 · 62 · 104 · 124 · 248 · 313 · 403 · 626 · 806 · 1252 · 1612 · 2504 · 3224 · 4069 · 8138 · 9703 · 16276 · 19406 · 32552 · 38812 · 77624 · 126139 · 252278 · 504556 (half) · 1009112

Aliquot sum (sum of proper divisors): 1,100,968

Factor pairs (a × b = 1,009,112)

1 × 1009112

2 × 504556

4 × 252278

8 × 126139

13 × 77624

26 × 38812

31 × 32552

52 × 19406

62 × 16276

104 × 9703

124 × 8138

248 × 4069

313 × 3224

403 × 2504

626 × 1612

806 × 1252

First multiples

1,009,112 · 2,018,224 (double) · 3,027,336 · 4,036,448 · 5,045,560 · 6,054,672 · 7,063,784 · 8,072,896 · 9,082,008 · 10,091,120

Sums & aliquot sequence

As consecutive integers: 77,618 + 77,619 + … + 77,630 63,062 + 63,063 + … + 63,077 32,537 + 32,538 + … + 32,567 4,748 + 4,749 + … + 4,955

Aliquot sequence: 1,009,112 → 1,100,968 → 1,151,192 → 1,363,528 → 1,193,102 → 727,570 → 624,878 → 315,994 → 225,734 → 118,786 → 59,396 → 48,124 → 38,060 → 49,636 → 37,234 → 18,620 → 29,260 — unresolved within range

Continued fraction of √n

√1,009,112 = [1004; (1, 1, 4, 1, 37, 1, 4, 1, 1, 2008)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million nine thousand one hundred twelve
Ordinal: 1009112th
Binary: 11110110010111011000
Octal: 3662730
Hexadecimal: 0xF65D8
Base64: D2XY
One's complement: 4,293,958,183 (32-bit)
Scientific notation: 1.009112 × 10⁶
As a duration: 1,009,112 s = 11 days, 16 hours, 18 minutes, 32 seconds

In other bases

ternary (3) 1220021020112

quaternary (4) 3312113120

quinary (5) 224242422

senary (6) 33343452

septenary (7) 11402006

nonary (9) 1807215

undecimal (11) 62a185

duodecimal (12) 407b88

tridecimal (13) 294410

tetradecimal (14) 1c3a76

pentadecimal (15) 14dee2

Palindromic in base 5

As an angle

1,009,112° = 2,803 × 360° + 32°

32° ≈ 0.559 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Chinese: 一百萬九千一百一十二
Chinese (financial): 壹佰萬玖仟壹佰壹拾貳

In other modern scripts

Eastern Arabic ١٠٠٩١١٢ Devanagari १००९११२ Bengali ১০০৯১১২ Tamil ௧௦௦௯௧௧௨ Thai ๑๐๐๙๑๑๒ Tibetan ༡༠༠༩༡༡༢ Khmer ១០០៩១១២ Lao ໑໐໐໙໑໑໒ Burmese ၁၀၀၉၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009112, here are decompositions:

199 + 1008913 = 1009112
211 + 1008901 = 1009112
241 + 1008871 = 1009112
283 + 1008829 = 1009112
331 + 1008781 = 1009112
499 + 1008613 = 1009112
523 + 1008589 = 1009112
541 + 1008571 = 1009112

Showing the first eight; more decompositions exist.

Hex color

#0F65D8

RGB(15, 101, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.101.216.

Address: 0.15.101.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.101.216

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 1,009,112 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 US1,009,112 on Google Patents ↗ Look up on USPTO ↗