Live analysis

1,009,116

1,009,116 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.).

1,009,116 (one million nine thousand one hundred sixteen) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 28,031. Its proper divisors sum to 1,541,796, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF65DC.

Abundant Number Cube-Free Flippable Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,009,104 1,009,105 1,009,106 1,009,107 1,009,108 1,009,109 1,009,110 1,009,111 1,009,112 1,009,113 1,009,114 1,009,115 1,009,116 1,009,117 1,009,118 1,009,119 1,009,120 1,009,121 1,009,122 1,009,123 1,009,124 1,009,125 1,009,126 1,009,127 1,009,128

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,119,001
Flips to (rotate 180°): 9,116,001
Recamán's sequence: a(347,219) = 1,009,116
Square (n²): 1,018,315,101,456
Cube (n³): 1,027,598,061,920,872,896
Divisor count: 18
σ(n) — sum of divisors: 2,550,912
φ(n) — Euler's totient: 336,360
Sum of prime factors: 28,041

Primality

Prime factorization: 2 ² × 3 ² × 28031

Nearest primes: 1,009,097 (−19) · 1,009,121 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 28031 · 56062 · 84093 · 112124 · 168186 · 252279 · 336372 · 504558 (half) · 1009116

Aliquot sum (sum of proper divisors): 1,541,796

Factor pairs (a × b = 1,009,116)

1 × 1009116

2 × 504558

3 × 336372

4 × 252279

6 × 168186

9 × 112124

12 × 84093

18 × 56062

36 × 28031

First multiples

1,009,116 · 2,018,232 (double) · 3,027,348 · 4,036,464 · 5,045,580 · 6,054,696 · 7,063,812 · 8,072,928 · 9,082,044 · 10,091,160

Sums & aliquot sequence

As consecutive integers: 336,371 + 336,372 + 336,373 126,136 + 126,137 + … + 126,143 112,120 + 112,121 + … + 112,128 42,035 + 42,036 + … + 42,058

Aliquot sequence: 1,009,116 → 1,541,796 → 2,055,756 → 2,775,028 → 2,081,278 → 1,141,442 → 607,294 → 303,650 → 261,232 → 263,288 → 230,392 → 216,008 → 240,952 → 210,848 → 242,752 → 239,086 → 122,138 — unresolved within range

Continued fraction of √n

√1,009,116 = [1004; (1, 1, 4, 1, 2, 1, 13, 3, 4, 1, 3, 5, 2, 44, 5, 3, 1, 3, 1, 1, 7, 1, 1, 5, …)]

Representations

In words: one million nine thousand one hundred sixteen
Ordinal: 1009116th
Binary: 11110110010111011100
Octal: 3662734
Hexadecimal: 0xF65DC
Base64: D2Xc
One's complement: 4,293,958,179 (32-bit)
Scientific notation: 1.009116 × 10⁶
As a duration: 1,009,116 s = 11 days, 16 hours, 18 minutes, 36 seconds

In other bases

ternary (3) 1220021020200

quaternary (4) 3312113130

quinary (5) 224242431

senary (6) 33343500

septenary (7) 11402013

nonary (9) 1807220

undecimal (11) 62a189

duodecimal (12) 407b90

tridecimal (13) 294414

tetradecimal (14) 1c3a7a

pentadecimal (15) 14dee6

As an angle

1,009,116° = 2,803 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬九千一百一十六
Chinese (financial): 壹佰萬玖仟壹佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠٩١١٦ Devanagari १००९११६ Bengali ১০০৯১১৬ Tamil ௧௦௦௯௧௧௬ Thai ๑๐๐๙๑๑๖ Tibetan ༡༠༠༩༡༡༦ Khmer ១០០៩១១៦ Lao ໑໐໐໙໑໑໖ Burmese ၁၀၀၉၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009116, here are decompositions:

19 + 1009097 = 1009116
67 + 1009049 = 1009116
79 + 1009037 = 1009116
109 + 1009007 = 1009116
127 + 1008989 = 1009116
137 + 1008979 = 1009116
179 + 1008937 = 1009116
193 + 1008923 = 1009116

Showing the first eight; more decompositions exist.

Hex color

#0F65DC

RGB(15, 101, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.101.220.

Address: 0.15.101.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.101.220

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 1,009,116 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 US1,009,116 on Google Patents ↗ Look up on USPTO ↗