Live analysis

1,001,116

1,001,116 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.).

1,001,116 (one million one thousand one hundred sixteen) is an even 7-digit number. It is a composite number with 6 divisors, and factors as 2² × 250,279. Written other ways, in hexadecimal, 0xF469C.

Cube-Free Deficient Number Flippable Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,104 1,001,105 1,001,106 1,001,107 1,001,108 1,001,109 1,001,110 1,001,111 1,001,112 1,001,113 1,001,114 1,001,115 1,001,116 1,001,117 1,001,118 1,001,119 1,001,120 1,001,121 1,001,122 1,001,123 1,001,124 1,001,125 1,001,126 1,001,127 1,001,128

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 6,111,001
Flips to (rotate 180°): 9,111,001
Square (n²): 1,002,233,245,456
Cube (n³): 1,003,351,737,757,928,896
Divisor count: 6
σ(n) — sum of divisors: 1,751,960
φ(n) — Euler's totient: 500,556
Sum of prime factors: 250,283

Primality

Prime factorization: 2 ² × 250279

Nearest primes: 1,001,107 (−9) · 1,001,123 (+7)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 250279 · 500558 (half) · 1001116

Aliquot sum (sum of proper divisors): 750,844

Factor pairs (a × b = 1,001,116)

1 × 1001116

2 × 500558

4 × 250279

First multiples

1,001,116 · 2,002,232 (double) · 3,003,348 · 4,004,464 · 5,005,580 · 6,006,696 · 7,007,812 · 8,008,928 · 9,010,044 · 10,011,160

Sums & aliquot sequence

As consecutive integers: 125,136 + 125,137 + … + 125,143

Aliquot sequence: 1,001,116 → 750,844 → 563,140 → 653,012 → 509,548 → 478,292 → 367,168 → 361,558 → 180,782 → 138,418 → 98,894 → 50,794 → 26,426 → 13,978 → 7,802 → 4,294 → 2,546 — unresolved within range

Continued fraction of √n

√1,001,116 = [1000; (1, 1, 3, 1, 4, 1, 1, 1, 1, 1, 1, 8, 6, 4, 4, 2, 4, 6, 1, 1, 6, 1, 1, 27, …)]

Representations

In words: one million one thousand one hundred sixteen
Ordinal: 1001116th
Binary: 11110100011010011100
Octal: 3643234
Hexadecimal: 0xF469C
Base64: D0ac
One's complement: 4,293,966,179 (32-bit)
Scientific notation: 1.001116 × 10⁶
As a duration: 1,001,116 s = 11 days, 14 hours, 5 minutes, 16 seconds

In other bases

ternary (3) 1212212021101

quaternary (4) 3310122130

quinary (5) 224013431

senary (6) 33242444

septenary (7) 11336464

nonary (9) 1785241

undecimal (11) 624176

duodecimal (12) 403424

tridecimal (13) 29089c

tetradecimal (14) 1c0ba4

pentadecimal (15) 14b961

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千一百一十六
Chinese (financial): 壹佰萬壹仟壹佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠١١١٦ Devanagari १००१११६ Bengali ১০০১১১৬ Tamil ௧௦௦௧௧௧௬ Thai ๑๐๐๑๑๑๖ Tibetan ༡༠༠༡༡༡༦ Khmer ១០០១១១៦ Lao ໑໐໐໑໑໑໖ Burmese ၁၀၀၁၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001116, here are decompositions:

23 + 1001093 = 1001116
29 + 1001087 = 1001116
47 + 1001069 = 1001116
89 + 1001027 = 1001116
113 + 1001003 = 1001116
197 + 1000919 = 1001116
227 + 1000889 = 1001116
257 + 1000859 = 1001116

Showing the first eight; more decompositions exist.

Hex color

#0F469C

RGB(15, 70, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.156.

Address: 0.15.70.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.156

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 1,001,116 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 US1,001,116 on Google Patents ↗ Look up on USPTO ↗