Live analysis

1,003,664

1,003,664 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.).

1,003,664 (one million three thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 149 × 421. Written other ways, in hexadecimal, 0xF5090.

Arithmetic Number Deficient Number Evil Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,003,652 1,003,653 1,003,654 1,003,655 1,003,656 1,003,657 1,003,658 1,003,659 1,003,660 1,003,661 1,003,662 1,003,663 1,003,664 1,003,665 1,003,666 1,003,667 1,003,668 1,003,669 1,003,670 1,003,671 1,003,672 1,003,673 1,003,674 1,003,675 1,003,676

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 4,663,001
Square (n²): 1,007,341,424,896
Cube (n³): 1,011,032,323,876,818,944
Divisor count: 20
σ(n) — sum of divisors: 1,962,300
φ(n) — Euler's totient: 497,280
Sum of prime factors: 578

Primality

Prime factorization: 2 ⁴ × 149 × 421

Nearest primes: 1,003,631 (−33) · 1,003,679 (+15)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 149 · 298 · 421 · 596 · 842 · 1192 · 1684 · 2384 · 3368 · 6736 · 62729 · 125458 · 250916 · 501832 (half) · 1003664

Aliquot sum (sum of proper divisors): 958,636

Factor pairs (a × b = 1,003,664)

1 × 1003664

2 × 501832

4 × 250916

8 × 125458

16 × 62729

149 × 6736

298 × 3368

421 × 2384

596 × 1684

842 × 1192

First multiples

1,003,664 · 2,007,328 (double) · 3,010,992 · 4,014,656 · 5,018,320 · 6,021,984 · 7,025,648 · 8,029,312 · 9,032,976 · 10,036,640

Sums & aliquot sequence

As a sum of two squares: 140² + 992² = 208² + 980²

As consecutive integers: 31,349 + 31,350 + … + 31,380 6,662 + 6,663 + … + 6,810 2,174 + 2,175 + … + 2,594

Aliquot sequence: 1,003,664 → 958,636 → 1,049,132 → 1,077,748 → 1,116,556 → 1,116,612 → 2,266,908 → 3,778,404 → 6,629,532 → 12,554,724 → 23,503,004 → 25,606,756 → 28,870,044 → 52,173,156 → 90,358,044 → 150,596,964 → 314,857,116 — unresolved within range

Continued fraction of √n

√1,003,664 = [1001; (1, 4, 1, 8, 2, 2, 285, 1, 4, 1, 63, 1, 4, 40, 1, 2, 4, 2, 1, 8, 1, 1, 5, 3, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one million three thousand six hundred sixty-four
Ordinal: 1003664th
Binary: 11110101000010010000
Octal: 3650220
Hexadecimal: 0xF5090
Base64: D1CQ
One's complement: 4,293,963,631 (32-bit)
Scientific notation: 1.003664 × 10⁶
As a duration: 1,003,664 s = 11 days, 14 hours, 47 minutes, 44 seconds

In other bases

ternary (3) 1212222202202

quaternary (4) 3311002100

quinary (5) 224104124

senary (6) 33302332

septenary (7) 11350064

nonary (9) 1788682

undecimal (11) 626082

duodecimal (12) 4049a8

tridecimal (13) 291aac

tetradecimal (14) 1c1aa4

pentadecimal (15) 14c5ae

As an angle

1,003,664° = 2,787 × 360° + 344°

344° ≈ 6.004 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬三千六百六十四
Chinese (financial): 壹佰萬參仟陸佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٣٦٦٤ Devanagari १००३६६४ Bengali ১০০৩৬৬৪ Tamil ௧௦௦௩௬௬௪ Thai ๑๐๐๓๖๖๔ Tibetan ༡༠༠༣༦༦༤ Khmer ១០០៣៦៦៤ Lao ໑໐໐໓໖໖໔ Burmese ၁၀၀၃၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003664, here are decompositions:

37 + 1003627 = 1003664
43 + 1003621 = 1003664
157 + 1003507 = 1003664
283 + 1003381 = 1003664
313 + 1003351 = 1003664
373 + 1003291 = 1003664
463 + 1003201 = 1003664
523 + 1003141 = 1003664

Showing the first eight; more decompositions exist.

Hex color

#0F5090

RGB(15, 80, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.80.144.

Address: 0.15.80.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.80.144

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 1,003,664 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 US1,003,664 on Google Patents ↗ Look up on USPTO ↗