Live analysis

1,013,628

1,013,628 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.).

1,013,628 (one million thirteen thousand six hundred twenty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 11 × 1,097. Its proper divisors sum to 1,937,796, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF777C.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,616 1,013,617 1,013,618 1,013,619 1,013,620 1,013,621 1,013,622 1,013,623 1,013,624 1,013,625 1,013,626 1,013,627 1,013,628 1,013,629 1,013,630 1,013,631 1,013,632 1,013,633 1,013,634 1,013,635 1,013,636 1,013,637 1,013,638 1,013,639 1,013,640

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,263,101
Square (n²): 1,027,441,722,384
Cube (n³): 1,041,443,698,176,649,152
Divisor count: 48
σ(n) — sum of divisors: 2,951,424
φ(n) — Euler's totient: 263,040
Sum of prime factors: 1,122

Primality

Prime factorization: 2 ² × 3 × 7 × 11 × 1097

Nearest primes: 1,013,627 (−1) · 1,013,629 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 11 · 12 · 14 · 21 · 22 · 28 · 33 · 42 · 44 · 66 · 77 · 84 · 132 · 154 · 231 · 308 · 462 · 924 · 1097 · 2194 · 3291 · 4388 · 6582 · 7679 · 12067 · 13164 · 15358 · 23037 · 24134 · 30716 · 36201 · 46074 · 48268 · 72402 · 84469 · 92148 · 144804 · 168938 · 253407 · 337876 · 506814 (half) · 1013628

Aliquot sum (sum of proper divisors): 1,937,796

Factor pairs (a × b = 1,013,628)

1 × 1013628

2 × 506814

3 × 337876

4 × 253407

6 × 168938

7 × 144804

11 × 92148

12 × 84469

14 × 72402

21 × 48268

22 × 46074

28 × 36201

33 × 30716

42 × 24134

44 × 23037

66 × 15358

77 × 13164

84 × 12067

132 × 7679

154 × 6582

231 × 4388

308 × 3291

462 × 2194

924 × 1097

First multiples

1,013,628 · 2,027,256 (double) · 3,040,884 · 4,054,512 · 5,068,140 · 6,081,768 · 7,095,396 · 8,109,024 · 9,122,652 · 10,136,280

Sums & aliquot sequence

As consecutive integers: 337,875 + 337,876 + 337,877 144,801 + 144,802 + … + 144,807 126,700 + 126,701 + … + 126,707 92,143 + 92,144 + … + 92,153

Aliquot sequence: 1,013,628 → 1,937,796 → 3,868,284 → 6,447,364 → 7,817,852 → 8,097,460 → 11,336,780 → 17,969,140 → 25,157,132 → 35,505,652 → 44,311,820 → 63,015,988 → 63,387,212 → 63,387,268 → 70,432,124 → 77,816,452 → 84,584,444 — unresolved within range

Continued fraction of √n

√1,013,628 = [1006; (1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 14, 1, 3, 14, 1, 7, 1, 2, 1, 11, 4, 8, 2, 3, …)]

Representations

In words: one million thirteen thousand six hundred twenty-eight
Ordinal: 1013628th
Binary: 11110111011101111100
Octal: 3673574
Hexadecimal: 0xF777C
Base64: D3d8
One's complement: 4,293,953,667 (32-bit)
Scientific notation: 1.013628 × 10⁶
As a duration: 1,013,628 s = 11 days, 17 hours, 33 minutes, 48 seconds

In other bases

ternary (3) 1220111102210

quaternary (4) 3313131330

quinary (5) 224414003

senary (6) 33420420

septenary (7) 11421120

nonary (9) 1814383

undecimal (11) 632610

duodecimal (12) 40a710

tridecimal (13) 2964a5

tetradecimal (14) 1c5580

pentadecimal (15) 150503

As an angle

1,013,628° = 2,815 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千六百二十八
Chinese (financial): 壹佰零壹萬參仟陸佰貳拾捌

In other modern scripts

Eastern Arabic ١٠١٣٦٢٨ Devanagari १०१३६२८ Bengali ১০১৩৬২৮ Tamil ௧௦௧௩௬௨௮ Thai ๑๐๑๓๖๒๘ Tibetan ༡༠༡༣༦༢༨ Khmer ១០១៣៦២៨ Lao ໑໐໑໓໖໒໘ Burmese ၁၀၁၃၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013628, here are decompositions:

19 + 1013609 = 1013628
47 + 1013581 = 1013628
59 + 1013569 = 1013628
97 + 1013531 = 1013628
101 + 1013527 = 1013628
127 + 1013501 = 1013628
151 + 1013477 = 1013628
157 + 1013471 = 1013628

Showing the first eight; more decompositions exist.

Hex color

#0F777C

RGB(15, 119, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.124.

Address: 0.15.119.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.124

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3628 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3628-10-01 (MMDYYYY (US, single-digit day))
3628-01-10 (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 1,013,628 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 US1,013,628 on Google Patents ↗ Look up on USPTO ↗