Live analysis

1,013,664

1,013,664 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.).

1,013,664 (one million thirteen thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 10,559. Its proper divisors sum to 1,647,456, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF77A0.

Abundant Number Arithmetic Number Evil Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,652 1,013,653 1,013,654 1,013,655 1,013,656 1,013,657 1,013,658 1,013,659 1,013,660 1,013,661 1,013,662 1,013,663 1,013,664 1,013,665 1,013,666 1,013,667 1,013,668 1,013,669 1,013,670 1,013,671 1,013,672 1,013,673 1,013,674 1,013,675 1,013,676

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,663,101
Square (n²): 1,027,514,704,896
Cube (n³): 1,041,554,665,823,698,944
Divisor count: 24
σ(n) — sum of divisors: 2,661,120
φ(n) — Euler's totient: 337,856
Sum of prime factors: 10,572

Primality

Prime factorization: 2 ⁵ × 3 × 10559

Nearest primes: 1,013,641 (−23) · 1,013,671 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 10559 · 21118 · 31677 · 42236 · 63354 · 84472 · 126708 · 168944 · 253416 · 337888 · 506832 (half) · 1013664

Aliquot sum (sum of proper divisors): 1,647,456

Factor pairs (a × b = 1,013,664)

1 × 1013664

2 × 506832

3 × 337888

4 × 253416

6 × 168944

8 × 126708

12 × 84472

16 × 63354

24 × 42236

32 × 31677

48 × 21118

96 × 10559

First multiples

1,013,664 · 2,027,328 (double) · 3,040,992 · 4,054,656 · 5,068,320 · 6,081,984 · 7,095,648 · 8,109,312 · 9,122,976 · 10,136,640

Sums & aliquot sequence

As consecutive integers: 337,887 + 337,888 + 337,889 15,807 + 15,808 + … + 15,870 5,184 + 5,185 + … + 5,375

Aliquot sequence: 1,013,664 → 1,647,456 → 2,710,380 → 4,950,420 → 8,910,924 → 16,628,268 → 24,213,652 → 18,572,364 → 31,137,660 → 63,313,788 → 84,418,412 → 74,677,924 → 58,789,340 → 64,882,852 → 48,662,146 → 29,945,978 → 14,999,494 — unresolved within range

Continued fraction of √n

√1,013,664 = [1006; (1, 4, 4, 2, 1, 60, 3, 18, 1, 5, 2, 16, 5, 1, 1, 4, 1, 2, 5, 1, 1, 1, 9, 1, …)]

Representations

In words: one million thirteen thousand six hundred sixty-four
Ordinal: 1013664th
Binary: 11110111011110100000
Octal: 3673640
Hexadecimal: 0xF77A0
Base64: D3eg
One's complement: 4,293,953,631 (32-bit)
Scientific notation: 1.013664 × 10⁶
As a duration: 1,013,664 s = 11 days, 17 hours, 34 minutes, 24 seconds

In other bases

ternary (3) 1220111111010

quaternary (4) 3313132200

quinary (5) 224414124

senary (6) 33420520

septenary (7) 11421201

nonary (9) 1814433

undecimal (11) 632643

duodecimal (12) 40a740

tridecimal (13) 296502

tetradecimal (14) 1c55a8

pentadecimal (15) 150529

As an angle

1,013,664° = 2,815 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千六百六十四
Chinese (financial): 壹佰零壹萬參仟陸佰陸拾肆

In other modern scripts

Eastern Arabic ١٠١٣٦٦٤ Devanagari १०१३६६४ Bengali ১০১৩৬৬৪ Tamil ௧௦௧௩௬௬௪ Thai ๑๐๑๓๖๖๔ Tibetan ༡༠༡༣༦༦༤ Khmer ១០១៣៦៦៤ Lao ໑໐໑໓໖໖໔ Burmese ၁၀၁၃၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013664, here are decompositions:

23 + 1013641 = 1013664
37 + 1013627 = 1013664
61 + 1013603 = 1013664
83 + 1013581 = 1013664
101 + 1013563 = 1013664
131 + 1013533 = 1013664
137 + 1013527 = 1013664
163 + 1013501 = 1013664

Showing the first eight; more decompositions exist.

Hex color

#0F77A0

RGB(15, 119, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.160.

Address: 0.15.119.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3664 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3664-10-01 (MMDYYYY (US, single-digit day))
3664-01-10 (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 1,013,664 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 US1,013,664 on Google Patents ↗ Look up on USPTO ↗