Live analysis

1,013,688

1,013,688 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.).

1,013,688 (one million thirteen thousand six hundred eighty-eight) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3³ × 13 × 19². Its proper divisors sum to 2,186,712, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF77B8.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,676 1,013,677 1,013,678 1,013,679 1,013,680 1,013,681 1,013,682 1,013,683 1,013,684 1,013,685 1,013,686 1,013,687 1,013,688 1,013,689 1,013,690 1,013,691 1,013,692 1,013,693 1,013,694 1,013,695 1,013,696 1,013,697 1,013,698 1,013,699 1,013,700

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,863,101
Square (n²): 1,027,563,361,344
Cube (n³): 1,041,628,648,634,076,672
Divisor count: 96
σ(n) — sum of divisors: 3,200,400
φ(n) — Euler's totient: 295,488
Sum of prime factors: 66

Primality

Prime factorization: 2 ³ × 3 ³ × 13 × 19 ²

Nearest primes: 1,013,687 (−1) · 1,013,699 (+11)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 19 · 24 · 26 · 27 · 36 · 38 · 39 · 52 · 54 · 57 · 72 · 76 · 78 · 104 · 108 · 114 · 117 · 152 · 156 · 171 · 216 · 228 · 234 · 247 · 312 · 342 · 351 · 361 · 456 · 468 · 494 · 513 · 684 · 702 · 722 · 741 · 936 · 988 · 1026 · 1083 · 1368 · 1404 · 1444 · 1482 · 1976 · 2052 · 2166 · 2223 · 2808 · 2888 · 2964 · 3249 · 4104 · 4332 · 4446 · 4693 · 5928 · 6498 · 6669 · 8664 · 8892 · 9386 · 9747 · 12996 · 13338 · 14079 · 17784 · 18772 · 19494 · 25992 · 26676 · 28158 · 37544 · 38988 · 42237 · 53352 · 56316 · 77976 · 84474 · 112632 · 126711 · 168948 · 253422 · 337896 · 506844 (half) · 1013688

Aliquot sum (sum of proper divisors): 2,186,712

Factor pairs (a × b = 1,013,688)

1 × 1013688

2 × 506844

3 × 337896

4 × 253422

6 × 168948

8 × 126711

9 × 112632

12 × 84474

13 × 77976

18 × 56316

19 × 53352

24 × 42237

26 × 38988

27 × 37544

36 × 28158

38 × 26676

39 × 25992

52 × 19494

54 × 18772

57 × 17784

72 × 14079

76 × 13338

78 × 12996

104 × 9747

108 × 9386

114 × 8892

117 × 8664

152 × 6669

156 × 6498

171 × 5928

216 × 4693

228 × 4446

234 × 4332

247 × 4104

312 × 3249

342 × 2964

351 × 2888

361 × 2808

456 × 2223

468 × 2166

494 × 2052

513 × 1976

684 × 1482

702 × 1444

722 × 1404

741 × 1368

936 × 1083

988 × 1026

First multiples

1,013,688 · 2,027,376 (double) · 3,041,064 · 4,054,752 · 5,068,440 · 6,082,128 · 7,095,816 · 8,109,504 · 9,123,192 · 10,136,880

Sums & aliquot sequence

As consecutive integers: 337,895 + 337,896 + 337,897 112,628 + 112,629 + … + 112,636 77,970 + 77,971 + … + 77,982 63,348 + 63,349 + … + 63,363

Aliquot sequence: 1,013,688 → 2,186,712 → 4,348,908 → 6,756,732 → 10,322,876 → 9,998,404 → 9,250,364 → 7,089,820 → 7,942,484 → 7,220,524 → 5,463,924 → 7,582,956 → 10,110,636 → 16,298,964 → 29,302,956 → 44,768,496 → 70,883,576 — unresolved within range

Continued fraction of √n

√1,013,688 = [1006; (1, 4, 1, 1, 2, 1, 2, 5, 4, 1, 3, 5, 3, 5, 1, 4, 1, 2, 1, 3, 1, 4, 1, 3, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand six hundred eighty-eight
Ordinal: 1013688th
Binary: 11110111011110111000
Octal: 3673670
Hexadecimal: 0xF77B8
Base64: D3e4
One's complement: 4,293,953,607 (32-bit)
Scientific notation: 1.013688 × 10⁶
As a duration: 1,013,688 s = 11 days, 17 hours, 34 minutes, 48 seconds

In other bases

ternary (3) 1220111112000

quaternary (4) 3313132320

quinary (5) 224414223

senary (6) 33421000

septenary (7) 11421234

nonary (9) 1814460

undecimal (11) 632665

duodecimal (12) 40a760

tridecimal (13) 296520

tetradecimal (14) 1c55c4

pentadecimal (15) 150543

As an angle

1,013,688° = 2,815 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千六百八十八
Chinese (financial): 壹佰零壹萬參仟陸佰捌拾捌

In other modern scripts

Eastern Arabic ١٠١٣٦٨٨ Devanagari १०१३६८८ Bengali ১০১৩৬৮৮ Tamil ௧௦௧௩௬௮௮ Thai ๑๐๑๓๖๘๘ Tibetan ༡༠༡༣༦༨༨ Khmer ១០១៣៦៨៨ Lao ໑໐໑໓໖໘໘ Burmese ၁၀၁၃၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013688, here are decompositions:

7 + 1013681 = 1013688
17 + 1013671 = 1013688
47 + 1013641 = 1013688
59 + 1013629 = 1013688
61 + 1013627 = 1013688
79 + 1013609 = 1013688
107 + 1013581 = 1013688
157 + 1013531 = 1013688

Showing the first eight; more decompositions exist.

Hex color

#0F77B8

RGB(15, 119, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.184.

Address: 0.15.119.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.184

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3688 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3688-10-01 (MMDYYYY (US, single-digit day))
3688-01-10 (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 1,013,688 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 US1,013,688 on Google Patents ↗ Look up on USPTO ↗