Live analysis

1,000,116

1,000,116 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.).

Abundant Number Cube-Free Evil Number Flippable Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,000,104 1,000,105 1,000,106 1,000,107 1,000,108 1,000,109 1,000,110 1,000,111 1,000,112 1,000,113 1,000,114 1,000,115 1,000,116 1,000,117 1,000,118 1,000,119 1,000,120 1,000,121 1,000,122 1,000,123 1,000,124 1,000,125 1,000,126 1,000,127 1,000,128

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,110,001
Flips to (rotate 180°): 9,110,001
Square (n²): 1,000,232,013,456
Cube (n³): 1,000,348,040,369,560,896
Divisor count: 36
σ(n) — sum of divisors: 2,723,812
φ(n) — Euler's totient: 307,584
Sum of prime factors: 2,160

Primality

Prime factorization: 2 ² × 3 ² × 13 × 2137

Nearest primes: 1,000,099 (−17) · 1,000,117 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 36 · 39 · 52 · 78 · 117 · 156 · 234 · 468 · 2137 · 4274 · 6411 · 8548 · 12822 · 19233 · 25644 · 27781 · 38466 · 55562 · 76932 · 83343 · 111124 · 166686 · 250029 · 333372 · 500058 (half) · 1000116

Aliquot sum (sum of proper divisors): 1,723,696

Factor pairs (a × b = 1,000,116)

1 × 1000116

2 × 500058

3 × 333372

4 × 250029

6 × 166686

9 × 111124

12 × 83343

13 × 76932

18 × 55562

26 × 38466

36 × 27781

39 × 25644

52 × 19233

78 × 12822

117 × 8548

156 × 6411

234 × 4274

468 × 2137

First multiples

1,000,116 · 2,000,232 (double) · 3,000,348 · 4,000,464 · 5,000,580 · 6,000,696 · 7,000,812 · 8,000,928 · 9,001,044 · 10,001,160

Sums & aliquot sequence

As a sum of two squares: 90² + 996² = 300² + 954²

As consecutive integers: 333,371 + 333,372 + 333,373 125,011 + 125,012 + … + 125,018 111,120 + 111,121 + … + 111,128 76,926 + 76,927 + … + 76,938

Aliquot sequence: 1,000,116 → 1,723,696 → 1,873,296 → 3,369,734 → 1,684,870 → 1,895,978 → 1,354,294 → 677,150 → 628,570 → 511,910 → 566,362 → 283,184 → 315,736 → 286,904 → 251,056 → 311,408 → 291,976 — unresolved within range

Continued fraction of √n

√1,000,116 = [1000; (17, 4, 7, 2, 4, 6, 6, 79, 1, 5, 2, 1, 12, 4, 1, 1, 4, 2, 1, 1, 9, 1, 7, 3, …)]

Representations

In words: one million one hundred sixteen
Ordinal: 1000116th
Binary: 11110100001010110100
Octal: 3641264
Hexadecimal: 0xF42B4
Base64: D0K0
One's complement: 4,293,967,179 (32-bit)
Scientific notation: 1.000116 × 10⁶
As a duration: 1,000,116 s = 11 days, 13 hours, 48 minutes, 36 seconds

In other bases

ternary (3) 1212210220100

quaternary (4) 3310022310

quinary (5) 224000431

senary (6) 33234100

septenary (7) 11333535

nonary (9) 1783810

undecimal (11) 623447

duodecimal (12) 402930

tridecimal (13) 2902b0

tetradecimal (14) 1c068c

pentadecimal (15) 14b4e6

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬零一百一十六
Chinese (financial): 壹佰萬零壹佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠٠١١٦ Devanagari १०००११६ Bengali ১০০০১১৬ Tamil ௧௦௦௦௧௧௬ Thai ๑๐๐๐๑๑๖ Tibetan ༡༠༠༠༡༡༦ Khmer ១០០០១១៦ Lao ໑໐໐໐໑໑໖ Burmese ၁၀၀၀၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000116, here are decompositions:

17 + 1000099 = 1000116
79 + 1000037 = 1000116
83 + 1000033 = 1000116
113 + 1000003 = 1000116
137 + 999979 = 1000116
157 + 999959 = 1000116
163 + 999953 = 1000116
199 + 999917 = 1000116

Showing the first eight; more decompositions exist.

Hex color

#0F42B4

RGB(15, 66, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.66.180.

Address: 0.15.66.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.66.180

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 1,000,116 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 US1,000,116 on Google Patents ↗ Look up on USPTO ↗