Live analysis

1,003,404

1,003,404 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.).

1,003,404 (one million three thousand four hundred four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83,617. Its proper divisors sum to 1,337,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4F8C.

Abundant Number Cube-Free Evil Number Harshad / Niven Moran Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,003,392 1,003,393 1,003,394 1,003,395 1,003,396 1,003,397 1,003,398 1,003,399 1,003,400 1,003,401 1,003,402 1,003,403 1,003,404 1,003,405 1,003,406 1,003,407 1,003,408 1,003,409 1,003,410 1,003,411 1,003,412 1,003,413 1,003,414 1,003,415 1,003,416

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,043,001
Square (n²): 1,006,819,587,216
Cube (n³): 1,010,246,801,090,883,264
Divisor count: 12
σ(n) — sum of divisors: 2,341,304
φ(n) — Euler's totient: 334,464
Sum of prime factors: 83,624

Primality

Prime factorization: 2 ² × 3 × 83617

Nearest primes: 1,003,397 (−7) · 1,003,411 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83617 · 167234 · 250851 · 334468 · 501702 (half) · 1003404

Aliquot sum (sum of proper divisors): 1,337,900

Factor pairs (a × b = 1,003,404)

1 × 1003404

2 × 501702

3 × 334468

4 × 250851

6 × 167234

12 × 83617

First multiples

1,003,404 · 2,006,808 (double) · 3,010,212 · 4,013,616 · 5,017,020 · 6,020,424 · 7,023,828 · 8,027,232 · 9,030,636 · 10,034,040

Sums & aliquot sequence

As consecutive integers: 334,467 + 334,468 + 334,469 125,422 + 125,423 + … + 125,429 41,797 + 41,798 + … + 41,820

Aliquot sequence: 1,003,404 → 1,337,900 → 1,740,028 → 1,430,132 → 1,300,204 → 975,160 → 1,219,040 → 1,820,080 → 2,411,792 → 2,285,824 → 2,277,406 → 1,138,706 → 591,214 → 363,866 → 194,758 → 97,382 → 62,458 — unresolved within range

Continued fraction of √n

√1,003,404 = [1001; (1, 2, 2, 1, 17, 2, 1, 6, 1, 1, 2, 2, 2, 3, 7, 1, 1, 3, 2, 3, 2, 1, 6, 2, …)]

Representations

In words: one million three thousand four hundred four
Ordinal: 1003404th
Binary: 11110100111110001100
Octal: 3647614
Hexadecimal: 0xF4F8C
Base64: D0+M
One's complement: 4,293,963,891 (32-bit)
Scientific notation: 1.003404 × 10⁶
As a duration: 1,003,404 s = 11 days, 14 hours, 43 minutes, 24 seconds

In other bases

ternary (3) 1212222102010

quaternary (4) 3310332030

quinary (5) 224102104

senary (6) 33301220

septenary (7) 11346243

nonary (9) 1788363

undecimal (11) 625966

duodecimal (12) 404810

tridecimal (13) 29193c

tetradecimal (14) 1c195a

pentadecimal (15) 14c489

As an angle

1,003,404° = 2,787 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬三千四百零四
Chinese (financial): 壹佰萬參仟肆佰零肆

In other modern scripts

Eastern Arabic ١٠٠٣٤٠٤ Devanagari १००३४०४ Bengali ১০০৩৪০৪ Tamil ௧௦௦௩௪௦௪ Thai ๑๐๐๓๔๐๔ Tibetan ༡༠༠༣༤༠༤ Khmer ១០០៣៤០៤ Lao ໑໐໐໓໔໐໔ Burmese ၁၀၀၃၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003404, here are decompositions:

7 + 1003397 = 1003404
23 + 1003381 = 1003404
37 + 1003367 = 1003404
41 + 1003363 = 1003404
43 + 1003361 = 1003404
53 + 1003351 = 1003404
67 + 1003337 = 1003404
97 + 1003307 = 1003404

Showing the first eight; more decompositions exist.

Hex color

#0F4F8C

RGB(15, 79, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.79.140.

Address: 0.15.79.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.79.140

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 1,003,404 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 US1,003,404 on Google Patents ↗ Look up on USPTO ↗