Live analysis

1,009,316

1,009,316 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.).

1,009,316 (one million nine thousand three hundred sixteen) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 7 × 11 × 29 × 113. Its proper divisors sum to 1,288,924, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF66A4.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,009,304 1,009,305 1,009,306 1,009,307 1,009,308 1,009,309 1,009,310 1,009,311 1,009,312 1,009,313 1,009,314 1,009,315 1,009,316 1,009,317 1,009,318 1,009,319 1,009,320 1,009,321 1,009,322 1,009,323 1,009,324 1,009,325 1,009,326 1,009,327 1,009,328

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 6,139,001
Recamán's sequence: a(346,819) = 1,009,316
Square (n²): 1,018,718,787,856
Cube (n³): 1,028,209,172,083,666,496
Divisor count: 48
σ(n) — sum of divisors: 2,298,240
φ(n) — Euler's totient: 376,320
Sum of prime factors: 164

Primality

Prime factorization: 2 ² × 7 × 11 × 29 × 113

Nearest primes: 1,009,303 (−13) · 1,009,319 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 7 · 11 · 14 · 22 · 28 · 29 · 44 · 58 · 77 · 113 · 116 · 154 · 203 · 226 · 308 · 319 · 406 · 452 · 638 · 791 · 812 · 1243 · 1276 · 1582 · 2233 · 2486 · 3164 · 3277 · 4466 · 4972 · 6554 · 8701 · 8932 · 13108 · 17402 · 22939 · 34804 · 36047 · 45878 · 72094 · 91756 · 144188 · 252329 · 504658 (half) · 1009316

Aliquot sum (sum of proper divisors): 1,288,924

Factor pairs (a × b = 1,009,316)

1 × 1009316

2 × 504658

4 × 252329

7 × 144188

11 × 91756

14 × 72094

22 × 45878

28 × 36047

29 × 34804

44 × 22939

58 × 17402

77 × 13108

113 × 8932

116 × 8701

154 × 6554

203 × 4972

226 × 4466

308 × 3277

319 × 3164

406 × 2486

452 × 2233

638 × 1582

791 × 1276

812 × 1243

First multiples

1,009,316 · 2,018,632 (double) · 3,027,948 · 4,037,264 · 5,046,580 · 6,055,896 · 7,065,212 · 8,074,528 · 9,083,844 · 10,093,160

Sums & aliquot sequence

As consecutive integers: 144,185 + 144,186 + … + 144,191 126,161 + 126,162 + … + 126,168 91,751 + 91,752 + … + 91,761 34,790 + 34,791 + … + 34,818

Aliquot sequence: 1,009,316 → 1,288,924 → 1,488,004 → 1,645,756 → 1,710,884 → 1,985,116 → 2,114,980 → 2,961,308 → 2,961,364 → 3,286,976 → 5,491,264 → 5,481,536 → 5,666,524 → 4,249,900 → 4,972,600 → 7,370,360 → 9,213,040 — unresolved within range

Continued fraction of √n

√1,009,316 = [1004; (1, 1, 1, 5, 24, 31, 2, 1, 4, 1, 2, 1, 13, 1, 2, 1, 1, 7, 3, 1, 1, 1, 1, 1, …)]

Representations

In words: one million nine thousand three hundred sixteen
Ordinal: 1009316th
Binary: 11110110011010100100
Octal: 3663244
Hexadecimal: 0xF66A4
Base64: D2ak
One's complement: 4,293,957,979 (32-bit)
Scientific notation: 1.009316 × 10⁶
As a duration: 1,009,316 s = 11 days, 16 hours, 21 minutes, 56 seconds

In other bases

ternary (3) 1220021112002

quaternary (4) 3312122210

quinary (5) 224244231

senary (6) 33344432

septenary (7) 11402420

nonary (9) 1807462

undecimal (11) 62a350

duodecimal (12) 408118

tridecimal (13) 294539

tetradecimal (14) 1c3b80

pentadecimal (15) 14e0cb

As an angle

1,009,316° = 2,803 × 360° + 236°

236° ≈ 4.119 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬九千三百一十六
Chinese (financial): 壹佰萬玖仟參佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠٩٣١٦ Devanagari १००९३१६ Bengali ১০০৯৩১৬ Tamil ௧௦௦௯௩௧௬ Thai ๑๐๐๙๓๑๖ Tibetan ༡༠༠༩༣༡༦ Khmer ១០០៩៣១៦ Lao ໑໐໐໙໓໑໖ Burmese ၁၀၀၉၃၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009316, here are decompositions:

13 + 1009303 = 1009316
73 + 1009243 = 1009316
79 + 1009237 = 1009316
109 + 1009207 = 1009316
127 + 1009189 = 1009316
157 + 1009159 = 1009316
163 + 1009153 = 1009316
337 + 1008979 = 1009316

Showing the first eight; more decompositions exist.

Hex color

#0F66A4

RGB(15, 102, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.102.164.

Address: 0.15.102.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.102.164

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 1,009,316 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 US1,009,316 on Google Patents ↗ Look up on USPTO ↗