Live analysis

1,003,604

1,003,604 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.).

1,003,604 (one million three thousand six hundred four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 73 × 491. Its proper divisors sum to 1,035,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5054.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,592 1,003,593 1,003,594 1,003,595 1,003,596 1,003,597 1,003,598 1,003,599 1,003,600 1,003,601 1,003,602 1,003,603 1,003,604 1,003,605 1,003,606 1,003,607 1,003,608 1,003,609 1,003,610 1,003,611 1,003,612 1,003,613 1,003,614 1,003,615 1,003,616

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,063,001
Square (n²): 1,007,220,988,816
Cube (n³): 1,010,851,013,259,692,864
Divisor count: 24
σ(n) — sum of divisors: 2,038,848
φ(n) — Euler's totient: 423,360
Sum of prime factors: 575

Primality

Prime factorization: 2 ² × 7 × 73 × 491

Nearest primes: 1,003,601 (−3) · 1,003,609 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 73 · 146 · 292 · 491 · 511 · 982 · 1022 · 1964 · 2044 · 3437 · 6874 · 13748 · 35843 · 71686 · 143372 · 250901 · 501802 (half) · 1003604

Aliquot sum (sum of proper divisors): 1,035,244

Factor pairs (a × b = 1,003,604)

1 × 1003604

2 × 501802

4 × 250901

7 × 143372

14 × 71686

28 × 35843

73 × 13748

146 × 6874

292 × 3437

491 × 2044

511 × 1964

982 × 1022

First multiples

1,003,604 · 2,007,208 (double) · 3,010,812 · 4,014,416 · 5,018,020 · 6,021,624 · 7,025,228 · 8,028,832 · 9,032,436 · 10,036,040

Sums & aliquot sequence

As consecutive integers: 143,369 + 143,370 + … + 143,375 125,447 + 125,448 + … + 125,454 17,894 + 17,895 + … + 17,949 13,712 + 13,713 + … + 13,784

Aliquot sequence: 1,003,604 → 1,035,244 → 1,035,300 → 2,714,460 → 6,381,732 → 12,246,108 → 22,133,412 → 44,196,124 → 49,396,676 → 50,380,540 → 74,712,260 → 108,273,340 → 178,891,748 → 214,365,844 → 254,507,372 → 273,583,828 → 273,583,884 — unresolved within range

Continued fraction of √n

√1,003,604 = [1001; (1, 4, 105, 3, 1, 22, 1, 4, 1, 1, 2, 4, 1, 3, 7, 1, 2, 1, 1, 2, 1, 4, 3, 1, …)]

Representations

In words: one million three thousand six hundred four
Ordinal: 1003604th
Binary: 11110101000001010100
Octal: 3650124
Hexadecimal: 0xF5054
Base64: D1BU
One's complement: 4,293,963,691 (32-bit)
Scientific notation: 1.003604 × 10⁶
As a duration: 1,003,604 s = 11 days, 14 hours, 46 minutes, 44 seconds

In other bases

ternary (3) 1212222200112

quaternary (4) 3311001110

quinary (5) 224103404

senary (6) 33302152

septenary (7) 11346650

nonary (9) 1788615

undecimal (11) 626028

duodecimal (12) 404958

tridecimal (13) 291a64

tetradecimal (14) 1c1a60

pentadecimal (15) 14c56e

As an angle

1,003,604° = 2,787 × 360° + 284°

284° ≈ 4.957 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬三千六百零四
Chinese (financial): 壹佰萬參仟陸佰零肆

In other modern scripts

Eastern Arabic ١٠٠٣٦٠٤ Devanagari १००३६०४ Bengali ১০০৩৬০৪ Tamil ௧௦௦௩௬௦௪ Thai ๑๐๐๓๖๐๔ Tibetan ༡༠༠༣༦༠༤ Khmer ១០០៣៦០៤ Lao ໑໐໐໓໖໐໔ Burmese ၁၀၀၃၆၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003604, here are decompositions:

3 + 1003601 = 1003604
61 + 1003543 = 1003604
97 + 1003507 = 1003604
193 + 1003411 = 1003604
223 + 1003381 = 1003604
241 + 1003363 = 1003604
313 + 1003291 = 1003604
331 + 1003273 = 1003604

Showing the first eight; more decompositions exist.

Hex color

#0F5054

RGB(15, 80, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.80.84.

Address: 0.15.80.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.80.84

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 1,003,604 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 US1,003,604 on Google Patents ↗ Look up on USPTO ↗