Live analysis

1,006,116

1,006,116 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.).

1,006,116 (one million six thousand one hundred sixteen) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83,843. Its proper divisors sum to 1,341,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A24.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 1,006,125 1,006,126 1,006,127 1,006,128

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 6,116,001
Flips to (rotate 180°): 9,119,001
Square (n²): 1,012,269,405,456
Cube (n³): 1,018,460,445,139,768,896
Divisor count: 12
σ(n) — sum of divisors: 2,347,632
φ(n) — Euler's totient: 335,368
Sum of prime factors: 83,850

Primality

Prime factorization: 2 ² × 3 × 83843

Nearest primes: 1,006,091 (−25) · 1,006,123 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83843 · 167686 · 251529 · 335372 · 503058 (half) · 1006116

Aliquot sum (sum of proper divisors): 1,341,516

Factor pairs (a × b = 1,006,116)

1 × 1006116

2 × 503058

3 × 335372

4 × 251529

6 × 167686

12 × 83843

First multiples

1,006,116 · 2,012,232 (double) · 3,018,348 · 4,024,464 · 5,030,580 · 6,036,696 · 7,042,812 · 8,048,928 · 9,055,044 · 10,061,160

Sums & aliquot sequence

As consecutive integers: 335,371 + 335,372 + 335,373 125,761 + 125,762 + … + 125,768 41,910 + 41,911 + … + 41,933

Aliquot sequence: 1,006,116 → 1,341,516 → 2,073,588 → 3,442,188 → 4,693,492 → 3,520,126 → 1,768,058 → 884,032 → 965,088 → 1,852,272 → 3,612,408 → 5,418,672 → 10,580,304 → 20,657,776 → 19,366,696 → 17,042,444 → 12,850,300 — unresolved within range

Continued fraction of √n

√1,006,116 = [1003; (18, 1, 2, 1, 33, 3, 1, 11, 2, 2, 5, 1, 6, 2, 4, 1, 1, 1, 1, 2, 1, 1, 8, 1, …)]

Representations

In words: one million six thousand one hundred sixteen
Ordinal: 1006116th
Binary: 11110101101000100100
Octal: 3655044
Hexadecimal: 0xF5A24
Base64: D1ok
One's complement: 4,293,961,179 (32-bit)
Scientific notation: 1.006116 × 10⁶
As a duration: 1,006,116 s = 11 days, 15 hours, 28 minutes, 36 seconds

In other bases

ternary (3) 1220010010120

quaternary (4) 3311220210

quinary (5) 224143431

senary (6) 33321540

septenary (7) 11360166

nonary (9) 1803116

undecimal (11) 627a01

duodecimal (12) 4062b0

tridecimal (13) 292c47

tetradecimal (14) 1c2936

pentadecimal (15) 14d196

As an angle

1,006,116° = 2,794 × 360° + 276°

276° ≈ 4.817 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千一百一十六
Chinese (financial): 壹佰萬陸仟壹佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠٦١١٦ Devanagari १००६११६ Bengali ১০০৬১১৬ Tamil ௧௦௦௬௧௧௬ Thai ๑๐๐๖๑๑๖ Tibetan ༡༠༠༦༡༡༦ Khmer ១០០៦១១៦ Lao ໑໐໐໖໑໑໖ Burmese ၁၀၀၆၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006116, here are decompositions:

29 + 1006087 = 1006116
53 + 1006063 = 1006116
79 + 1006037 = 1006116
109 + 1006007 = 1006116
113 + 1006003 = 1006116
127 + 1005989 = 1006116
157 + 1005959 = 1006116
179 + 1005937 = 1006116

Showing the first eight; more decompositions exist.

Hex color

#0F5A24

RGB(15, 90, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.36.

Address: 0.15.90.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.36

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 1,006,116 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 US1,006,116 on Google Patents ↗ Look up on USPTO ↗