Live analysis

1,002,664

1,002,664 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.).

1,002,664 (one million two thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 31 × 311. Its proper divisors sum to 1,093,976, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4CA8.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number Smith Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,652 1,002,653 1,002,654 1,002,655 1,002,656 1,002,657 1,002,658 1,002,659 1,002,660 1,002,661 1,002,662 1,002,663 1,002,664 1,002,665 1,002,666 1,002,667 1,002,668 1,002,669 1,002,670 1,002,671 1,002,672 1,002,673 1,002,674 1,002,675 1,002,676

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,662,001
Square (n²): 1,005,335,096,896
Cube (n³): 1,008,013,309,594,130,944
Divisor count: 32
σ(n) — sum of divisors: 2,096,640
φ(n) — Euler's totient: 446,400
Sum of prime factors: 361

Primality

Prime factorization: 2 ³ × 13 × 31 × 311

Nearest primes: 1,002,653 (−11) · 1,002,679 (+15)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 13 · 26 · 31 · 52 · 62 · 104 · 124 · 248 · 311 · 403 · 622 · 806 · 1244 · 1612 · 2488 · 3224 · 4043 · 8086 · 9641 · 16172 · 19282 · 32344 · 38564 · 77128 · 125333 · 250666 · 501332 (half) · 1002664

Aliquot sum (sum of proper divisors): 1,093,976

Factor pairs (a × b = 1,002,664)

1 × 1002664

2 × 501332

4 × 250666

8 × 125333

13 × 77128

26 × 38564

31 × 32344

52 × 19282

62 × 16172

104 × 9641

124 × 8086

248 × 4043

311 × 3224

403 × 2488

622 × 1612

806 × 1244

First multiples

1,002,664 · 2,005,328 (double) · 3,007,992 · 4,010,656 · 5,013,320 · 6,015,984 · 7,018,648 · 8,021,312 · 9,023,976 · 10,026,640

Sums & aliquot sequence

As consecutive integers: 77,122 + 77,123 + … + 77,134 62,659 + 62,660 + … + 62,674 32,329 + 32,330 + … + 32,359 4,717 + 4,718 + … + 4,924

Aliquot sequence: 1,002,664 → 1,093,976 → 1,162,264 → 1,016,996 → 762,754 → 381,380 → 419,560 → 581,600 → 840,184 → 735,176 → 749,524 → 619,340 → 696,100 → 814,654 → 424,754 → 288,046 → 183,338 — unresolved within range

Continued fraction of √n

√1,002,664 = [1001; (3, 49, 1, 2, 1, 2, 1, 79, 2, 1, 2, 8, 1, 1, 9, 6, 1, 4, 1, 2, 2, 1, 2, 222, …)]

Representations

In words: one million two thousand six hundred sixty-four
Ordinal: 1002664th
Binary: 11110100110010101000
Octal: 3646250
Hexadecimal: 0xF4CA8
Base64: D0yo
One's complement: 4,293,964,631 (32-bit)
Scientific notation: 1.002664 × 10⁶
As a duration: 1,002,664 s = 11 days, 14 hours, 31 minutes, 4 seconds

In other bases

ternary (3) 1212221101201

quaternary (4) 3310302220

quinary (5) 224041124

senary (6) 33253544

septenary (7) 11344135

nonary (9) 1787351

undecimal (11) 625353

duodecimal (12) 4042b4

tridecimal (13) 2914c0

tetradecimal (14) 1c158c

pentadecimal (15) 14c144

As an angle

1,002,664° = 2,785 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬二千六百六十四
Chinese (financial): 壹佰萬貳仟陸佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٢٦٦٤ Devanagari १००२६६४ Bengali ১০০২৬৬৪ Tamil ௧௦௦௨௬௬௪ Thai ๑๐๐๒๖๖๔ Tibetan ༡༠༠༢༦༦༤ Khmer ១០០២៦៦៤ Lao ໑໐໐໒໖໖໔ Burmese ၁၀၀၂၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002664, here are decompositions:

11 + 1002653 = 1002664
17 + 1002647 = 1002664
41 + 1002623 = 1002664
137 + 1002527 = 1002664
197 + 1002467 = 1002664
317 + 1002347 = 1002664
401 + 1002263 = 1002664
491 + 1002173 = 1002664

Showing the first eight; more decompositions exist.

Hex color

#0F4CA8

RGB(15, 76, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.168.

Address: 0.15.76.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.168

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 1,002,664 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 US1,002,664 on Google Patents ↗ Look up on USPTO ↗