Live analysis

1,007,116

1,007,116 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.).

1,007,116 (one million seven thousand one hundred sixteen) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 47 × 487. Written other ways, in hexadecimal, 0xF5E0C.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Self Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,007,104 1,007,105 1,007,106 1,007,107 1,007,108 1,007,109 1,007,110 1,007,111 1,007,112 1,007,113 1,007,114 1,007,115 1,007,116 1,007,117 1,007,118 1,007,119 1,007,120 1,007,121 1,007,122 1,007,123 1,007,124 1,007,125 1,007,126 1,007,127 1,007,128

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 6,117,001
Square (n²): 1,014,282,637,456
Cube (n³): 1,021,500,272,704,136,896
Divisor count: 24
σ(n) — sum of divisors: 1,967,616
φ(n) — Euler's totient: 447,120
Sum of prime factors: 549

Primality

Prime factorization: 2 ² × 11 × 47 × 487

Nearest primes: 1,007,099 (−17) · 1,007,117 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 11 · 22 · 44 · 47 · 94 · 188 · 487 · 517 · 974 · 1034 · 1948 · 2068 · 5357 · 10714 · 21428 · 22889 · 45778 · 91556 · 251779 · 503558 (half) · 1007116

Aliquot sum (sum of proper divisors): 960,500

Factor pairs (a × b = 1,007,116)

1 × 1007116

2 × 503558

4 × 251779

11 × 91556

22 × 45778

44 × 22889

47 × 21428

94 × 10714

188 × 5357

487 × 2068

517 × 1948

974 × 1034

First multiples

1,007,116 · 2,014,232 (double) · 3,021,348 · 4,028,464 · 5,035,580 · 6,042,696 · 7,049,812 · 8,056,928 · 9,064,044 · 10,071,160

Sums & aliquot sequence

As consecutive integers: 125,886 + 125,887 + … + 125,893 91,551 + 91,552 + … + 91,561 21,405 + 21,406 + … + 21,451 11,401 + 11,402 + … + 11,488

Aliquot sequence: 1,007,116 → 960,500 → 1,280,284 → 970,580 → 1,225,012 → 918,766 → 459,386 → 229,696 → 243,252 → 395,568 → 755,400 → 1,588,200 → 3,337,080 → 6,674,520 → 13,349,400 → 30,249,000 → 72,023,040 — unresolved within range

Continued fraction of √n

√1,007,116 = [1003; (1, 1, 4, 2, 1, 37, 5, 1, 1, 4, 1, 1, 1, 2, 5, 2, 1, 1, 3, 4, 1, 1, 1, 3, …)]

Representations

In words: one million seven thousand one hundred sixteen
Ordinal: 1007116th
Binary: 11110101111000001100
Octal: 3657014
Hexadecimal: 0xF5E0C
Base64: D14M
One's complement: 4,293,960,179 (32-bit)
Scientific notation: 1.007116 × 10⁶
As a duration: 1,007,116 s = 11 days, 15 hours, 45 minutes, 16 seconds

In other bases

ternary (3) 1220011111121

quaternary (4) 3311320030

quinary (5) 224211431

senary (6) 33330324

septenary (7) 11363125

nonary (9) 1804447

undecimal (11) 628730

duodecimal (12) 4069a4

tridecimal (13) 293536

tetradecimal (14) 1c304c

pentadecimal (15) 14d611

As an angle

1,007,116° = 2,797 × 360° + 196°

196° ≈ 3.421 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬七千一百一十六
Chinese (financial): 壹佰萬柒仟壹佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠٧١١٦ Devanagari १००७११६ Bengali ১০০৭১১৬ Tamil ௧௦௦௭௧௧௬ Thai ๑๐๐๗๑๑๖ Tibetan ༡༠༠༧༡༡༦ Khmer ១០០៧១១៦ Lao ໑໐໐໗໑໑໖ Burmese ၁၀၀၇၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007116, here are decompositions:

17 + 1007099 = 1007116
137 + 1006979 = 1007116
167 + 1006949 = 1007116
179 + 1006937 = 1007116
233 + 1006883 = 1007116
239 + 1006877 = 1007116
263 + 1006853 = 1007116
269 + 1006847 = 1007116

Showing the first eight; more decompositions exist.

Hex color

#0F5E0C

RGB(15, 94, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.12.

Address: 0.15.94.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.12

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 1,007,116 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 US1,007,116 on Google Patents ↗ Look up on USPTO ↗