Live analysis

1,013,012

1,013,012 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.).

1,013,012 (one million thirteen thousand twelve) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 7 × 11² × 13 × 23. Its proper divisors sum to 1,489,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7514.

Abundant Number Cube-Free Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,000 1,013,001 1,013,002 1,013,003 1,013,004 1,013,005 1,013,006 1,013,007 1,013,008 1,013,009 1,013,010 1,013,011 1,013,012 1,013,013 1,013,014 1,013,015 1,013,016 1,013,017 1,013,018 1,013,019 1,013,020 1,013,021 1,013,022 1,013,023 1,013,024

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 2,103,101
Square (n²): 1,026,193,312,144
Cube (n³): 1,039,546,139,521,617,728
Divisor count: 72
σ(n) — sum of divisors: 2,502,528
φ(n) — Euler's totient: 348,480
Sum of prime factors: 69

Primality

Prime factorization: 2 ² × 7 × 11 ² × 13 × 23

Nearest primes: 1,013,009 (−3) · 1,013,029 (+17)

Divisors & multiples

All divisors (72)

1 · 2 · 4 · 7 · 11 · 13 · 14 · 22 · 23 · 26 · 28 · 44 · 46 · 52 · 77 · 91 · 92 · 121 · 143 · 154 · 161 · 182 · 242 · 253 · 286 · 299 · 308 · 322 · 364 · 484 · 506 · 572 · 598 · 644 · 847 · 1001 · 1012 · 1196 · 1573 · 1694 · 1771 · 2002 · 2093 · 2783 · 3146 · 3289 · 3388 · 3542 · 4004 · 4186 · 5566 · 6292 · 6578 · 7084 · 8372 · 11011 · 11132 · 13156 · 19481 · 22022 · 23023 · 36179 · 38962 · 44044 · 46046 · 72358 · 77924 · 92092 · 144716 · 253253 · 506506 (half) · 1013012

Aliquot sum (sum of proper divisors): 1,489,516

Factor pairs (a × b = 1,013,012)

1 × 1013012

2 × 506506

4 × 253253

7 × 144716

11 × 92092

13 × 77924

14 × 72358

22 × 46046

23 × 44044

26 × 38962

28 × 36179

44 × 23023

46 × 22022

52 × 19481

77 × 13156

91 × 11132

92 × 11011

121 × 8372

143 × 7084

154 × 6578

161 × 6292

182 × 5566

242 × 4186

253 × 4004

286 × 3542

299 × 3388

308 × 3289

322 × 3146

364 × 2783

484 × 2093

506 × 2002

572 × 1771

598 × 1694

644 × 1573

847 × 1196

1001 × 1012

First multiples

1,013,012 · 2,026,024 (double) · 3,039,036 · 4,052,048 · 5,065,060 · 6,078,072 · 7,091,084 · 8,104,096 · 9,117,108 · 10,130,120

Sums & aliquot sequence

As consecutive integers: 144,713 + 144,714 + … + 144,719 126,623 + 126,624 + … + 126,630 92,087 + 92,088 + … + 92,097 77,918 + 77,919 + … + 77,930

Aliquot sequence: 1,013,012 → 1,489,516 → 1,489,572 → 3,018,204 → 6,318,396 → 11,935,476 → 22,545,516 → 38,217,620 → 53,505,004 → 54,070,324 → 70,034,636 → 73,822,420 → 106,517,600 → 203,962,528 → 336,002,912 → 425,591,488 → 590,408,512 — unresolved within range

Continued fraction of √n

√1,013,012 = [1006; (2, 16, 7, 2, 1, 15, 1, 20, 1, 15, 1, 2, 7, 16, 2, 2012)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand twelve
Ordinal: 1013012th
Binary: 11110111010100010100
Octal: 3672424
Hexadecimal: 0xF7514
Base64: D3UU
One's complement: 4,293,954,283 (32-bit)
Scientific notation: 1.013012 × 10⁶
As a duration: 1,013,012 s = 11 days, 17 hours, 23 minutes, 32 seconds

In other bases

ternary (3) 1220110120222

quaternary (4) 3313110110

quinary (5) 224404022

senary (6) 33413512

septenary (7) 11416250

nonary (9) 1813528

undecimal (11) 632100

duodecimal (12) 40a298

tridecimal (13) 296120

tetradecimal (14) 1c5260

pentadecimal (15) 150242

As an angle

1,013,012° = 2,813 × 360° + 332°

332° ≈ 5.794 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓏺𓏺
Chinese: 一百零一萬三千零一十二
Chinese (financial): 壹佰零壹萬參仟零壹拾貳

In other modern scripts

Eastern Arabic ١٠١٣٠١٢ Devanagari १०१३०१२ Bengali ১০১৩০১২ Tamil ௧௦௧௩௦௧௨ Thai ๑๐๑๓๐๑๒ Tibetan ༡༠༡༣༠༡༢ Khmer ១០១៣០១២ Lao ໑໐໑໓໐໑໒ Burmese ၁၀၁၃၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013012, here are decompositions:

3 + 1013009 = 1013012
19 + 1012993 = 1013012
31 + 1012981 = 1013012
109 + 1012903 = 1013012
151 + 1012861 = 1013012
181 + 1012831 = 1013012
223 + 1012789 = 1013012
241 + 1012771 = 1013012

Showing the first eight; more decompositions exist.

Hex color

#0F7514

RGB(15, 117, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.20.

Address: 0.15.117.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.20

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3012 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3012-10-01 (MMDYYYY (US, single-digit day))
3012-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,012 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 US1,013,012 on Google Patents ↗ Look up on USPTO ↗