Live analysis

1,002,116

1,002,116 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.).

1,002,116 (one million two thousand one hundred sixteen) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 14,737. Written other ways, in hexadecimal, 0xF4A84.

Arithmetic Number Cube-Free Deficient Number Odious Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,002,104 1,002,105 1,002,106 1,002,107 1,002,108 1,002,109 1,002,110 1,002,111 1,002,112 1,002,113 1,002,114 1,002,115 1,002,116 1,002,117 1,002,118 1,002,119 1,002,120 1,002,121 1,002,122 1,002,123 1,002,124 1,002,125 1,002,126 1,002,127 1,002,128

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 6,112,001
Square (n²): 1,004,236,477,456
Cube (n³): 1,006,361,441,842,296,896
Divisor count: 12
σ(n) — sum of divisors: 1,856,988
φ(n) — Euler's totient: 471,552
Sum of prime factors: 14,758

Primality

Prime factorization: 2 ² × 17 × 14737

Nearest primes: 1,002,109 (−7) · 1,002,121 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 17 · 34 · 68 · 14737 · 29474 · 58948 · 250529 · 501058 (half) · 1002116

Aliquot sum (sum of proper divisors): 854,872

Factor pairs (a × b = 1,002,116)

1 × 1002116

2 × 501058

4 × 250529

17 × 58948

34 × 29474

68 × 14737

First multiples

1,002,116 · 2,004,232 (double) · 3,006,348 · 4,008,464 · 5,010,580 · 6,012,696 · 7,014,812 · 8,016,928 · 9,019,044 · 10,021,160

Sums & aliquot sequence

As a sum of two squares: 46² + 1,000² = 430² + 904²

As consecutive integers: 125,261 + 125,262 + … + 125,268 58,940 + 58,941 + … + 58,956 7,301 + 7,302 + … + 7,436

Aliquot sequence: 1,002,116 → 854,872 → 748,028 → 591,772 → 449,268 → 636,012 → 1,166,404 → 1,004,086 → 502,046 → 255,898 → 144,710 → 125,290 → 139,094 → 81,874 → 55,214 → 32,026 → 16,934 — unresolved within range

Continued fraction of √n

√1,002,116 = [1001; (17, 2, 2, 3, 1, 19, 19, 1, 32, 1, 61, 1, 1, 2, 8, 1, 1, 2, 1, 2, 12, 1, 1, 4, …)]

Representations

In words: one million two thousand one hundred sixteen
Ordinal: 1002116th
Binary: 11110100101010000100
Octal: 3645204
Hexadecimal: 0xF4A84
Base64: D0qE
One's complement: 4,293,965,179 (32-bit)
Scientific notation: 1.002116 × 10⁶
As a duration: 1,002,116 s = 11 days, 14 hours, 21 minutes, 56 seconds

In other bases

ternary (3) 1212220122102

quaternary (4) 3310222010

quinary (5) 224031431

senary (6) 33251232

septenary (7) 11342423

nonary (9) 1786572

undecimal (11) 6249a5

duodecimal (12) 403b18

tridecimal (13) 29118b

tetradecimal (14) 1c12ba

pentadecimal (15) 14bdcb

As an angle

1,002,116° = 2,783 × 360° + 236°

236° ≈ 4.119 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千一百一十六
Chinese (financial): 壹佰萬貳仟壹佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠٢١١٦ Devanagari १००२११६ Bengali ১০০২১১৬ Tamil ௧௦௦௨௧௧௬ Thai ๑๐๐๒๑๑๖ Tibetan ༡༠༠༢༡༡༦ Khmer ១០០២១១៦ Lao ໑໐໐໒໑໑໖ Burmese ၁၀၀၂၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002116, here are decompositions:

7 + 1002109 = 1002116
43 + 1002073 = 1002116
67 + 1002049 = 1002116
127 + 1001989 = 1002116
139 + 1001977 = 1002116
163 + 1001953 = 1002116
277 + 1001839 = 1002116
307 + 1001809 = 1002116

Showing the first eight; more decompositions exist.

Hex color

#0F4A84

RGB(15, 74, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.132.

Address: 0.15.74.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.132

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 1,002,116 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 US1,002,116 on Google Patents ↗ Look up on USPTO ↗