Live analysis

1,006,112

1,006,112 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.).

1,006,112 (one million six thousand one hundred twelve) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 23 × 1,367. Its proper divisors sum to 1,062,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A20.

Abundant Number Arithmetic Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,100 1,006,101 1,006,102 1,006,103 1,006,104 1,006,105 1,006,106 1,006,107 1,006,108 1,006,109 1,006,110 1,006,111 1,006,112 1,006,113 1,006,114 1,006,115 1,006,116 1,006,117 1,006,118 1,006,119 1,006,120 1,006,121 1,006,122 1,006,123 1,006,124

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 2,116,001
Square (n²): 1,012,261,356,544
Cube (n³): 1,018,448,297,955,196,928
Divisor count: 24
σ(n) — sum of divisors: 2,068,416
φ(n) — Euler's totient: 480,832
Sum of prime factors: 1,400

Primality

Prime factorization: 2 ⁵ × 23 × 1367

Nearest primes: 1,006,091 (−21) · 1,006,123 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 16 · 23 · 32 · 46 · 92 · 184 · 368 · 736 · 1367 · 2734 · 5468 · 10936 · 21872 · 31441 · 43744 · 62882 · 125764 · 251528 · 503056 (half) · 1006112

Aliquot sum (sum of proper divisors): 1,062,304

Factor pairs (a × b = 1,006,112)

1 × 1006112

2 × 503056

4 × 251528

8 × 125764

16 × 62882

23 × 43744

32 × 31441

46 × 21872

92 × 10936

184 × 5468

368 × 2734

736 × 1367

First multiples

1,006,112 · 2,012,224 (double) · 3,018,336 · 4,024,448 · 5,030,560 · 6,036,672 · 7,042,784 · 8,048,896 · 9,055,008 · 10,061,120

Sums & aliquot sequence

As consecutive integers: 43,733 + 43,734 + … + 43,755 15,689 + 15,690 + … + 15,752 53 + 54 + … + 1,419

Aliquot sequence: 1,006,112 → 1,062,304 → 1,058,276 → 874,396 → 655,804 → 552,396 → 836,068 → 635,864 → 576,856 → 659,384 → 723,016 → 826,424 → 804,976 → 754,696 → 709,604 → 709,660 → 1,052,324 — unresolved within range

Continued fraction of √n

√1,006,112 = [1003; (19, 2, 10, 62, 1, 1, 2, 8, 4, 1, 3, 501, 3, 1, 4, 8, 2, 1, 1, 62, 10, 2, 19, 2006)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million six thousand one hundred twelve
Ordinal: 1006112th
Binary: 11110101101000100000
Octal: 3655040
Hexadecimal: 0xF5A20
Base64: D1og
One's complement: 4,293,961,183 (32-bit)
Scientific notation: 1.006112 × 10⁶
As a duration: 1,006,112 s = 11 days, 15 hours, 28 minutes, 32 seconds

In other bases

ternary (3) 1220010010102

quaternary (4) 3311220200

quinary (5) 224143422

senary (6) 33321532

septenary (7) 11360162

nonary (9) 1803112

undecimal (11) 6279a8

duodecimal (12) 4062a8

tridecimal (13) 292c43

tetradecimal (14) 1c2932

pentadecimal (15) 14d192

As an angle

1,006,112° = 2,794 × 360° + 272°

272° ≈ 4.747 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Chinese: 一百萬六千一百一十二
Chinese (financial): 壹佰萬陸仟壹佰壹拾貳

In other modern scripts

Eastern Arabic ١٠٠٦١١٢ Devanagari १००६११२ Bengali ১০০৬১১২ Tamil ௧௦௦௬௧௧௨ Thai ๑๐๐๖๑๑๒ Tibetan ༡༠༠༦༡༡༢ Khmer ១០០៦១១២ Lao ໑໐໐໖໑໑໒ Burmese ၁၀၀၆၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006112, here are decompositions:

109 + 1006003 = 1006112
181 + 1005931 = 1006112
199 + 1005913 = 1006112
229 + 1005883 = 1006112
433 + 1005679 = 1006112
571 + 1005541 = 1006112
619 + 1005493 = 1006112
631 + 1005481 = 1006112

Showing the first eight; more decompositions exist.

Hex color

#0F5A20

RGB(15, 90, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.32.

Address: 0.15.90.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.32

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 1,006,112 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 US1,006,112 on Google Patents ↗ Look up on USPTO ↗