Live analysis

1,006,404

1,006,404 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.).

1,006,404 (one million six thousand four hundred four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 11,981. Its proper divisors sum to 1,677,564, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B44.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,392 1,006,393 1,006,394 1,006,395 1,006,396 1,006,397 1,006,398 1,006,399 1,006,400 1,006,401 1,006,402 1,006,403 1,006,404 1,006,405 1,006,406 1,006,407 1,006,408 1,006,409 1,006,410 1,006,411 1,006,412 1,006,413 1,006,414 1,006,415 1,006,416

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,046,001
Square (n²): 1,012,849,011,216
Cube (n³): 1,019,335,296,283,827,264
Divisor count: 24
σ(n) — sum of divisors: 2,683,968
φ(n) — Euler's totient: 287,520
Sum of prime factors: 11,995

Primality

Prime factorization: 2 ² × 3 × 7 × 11981

Nearest primes: 1,006,393 (−11) · 1,006,433 (+29)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 11981 · 23962 · 35943 · 47924 · 71886 · 83867 · 143772 · 167734 · 251601 · 335468 · 503202 (half) · 1006404

Aliquot sum (sum of proper divisors): 1,677,564

Factor pairs (a × b = 1,006,404)

1 × 1006404

2 × 503202

3 × 335468

4 × 251601

6 × 167734

7 × 143772

12 × 83867

14 × 71886

21 × 47924

28 × 35943

42 × 23962

84 × 11981

First multiples

1,006,404 · 2,012,808 (double) · 3,019,212 · 4,025,616 · 5,032,020 · 6,038,424 · 7,044,828 · 8,051,232 · 9,057,636 · 10,064,040

Sums & aliquot sequence

As consecutive integers: 335,467 + 335,468 + 335,469 143,769 + 143,770 + … + 143,775 125,797 + 125,798 + … + 125,804 47,914 + 47,915 + … + 47,934

Aliquot sequence: 1,006,404 → 1,677,564 → 3,397,716 → 6,590,444 → 6,842,164 → 7,124,236 → 7,124,292 → 14,680,764 → 29,187,060 → 64,212,876 → 147,495,348 → 353,217,228 → 744,131,892 → 1,240,220,044 → 1,241,008,244 → 1,321,075,084 → 1,440,956,132 — unresolved within range

Continued fraction of √n

√1,006,404 = [1003; (5, 12, 1, 1, 1, 20, 1, 10, 1, 11, 4, 9, 1, 1, 5, 2, 1, 1, 5, 23, 2, 2, 1, 6, …)]

Representations

In words: one million six thousand four hundred four
Ordinal: 1006404th
Binary: 11110101101101000100
Octal: 3655504
Hexadecimal: 0xF5B44
Base64: D1tE
One's complement: 4,293,960,891 (32-bit)
Scientific notation: 1.006404 × 10⁶
As a duration: 1,006,404 s = 11 days, 15 hours, 33 minutes, 24 seconds

In other bases

ternary (3) 1220010112020

quaternary (4) 3311231010

quinary (5) 224201104

senary (6) 33323140

septenary (7) 11361060

nonary (9) 1803466

undecimal (11) 628143

duodecimal (12) 4064b0

tridecimal (13) 293109

tetradecimal (14) 1c2aa0

pentadecimal (15) 14d2d9

As an angle

1,006,404° = 2,795 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬六千四百零四
Chinese (financial): 壹佰萬陸仟肆佰零肆

In other modern scripts

Eastern Arabic ١٠٠٦٤٠٤ Devanagari १००६४०४ Bengali ১০০৬৪০৪ Tamil ௧௦௦௬௪௦௪ Thai ๑๐๐๖๔๐๔ Tibetan ༡༠༠༦༤༠༤ Khmer ១០០៦៤០៤ Lao ໑໐໐໖໔໐໔ Burmese ၁၀၀၆၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006404, here are decompositions:

11 + 1006393 = 1006404
13 + 1006391 = 1006404
37 + 1006367 = 1006404
43 + 1006361 = 1006404
53 + 1006351 = 1006404
67 + 1006337 = 1006404
71 + 1006333 = 1006404
73 + 1006331 = 1006404

Showing the first eight; more decompositions exist.

Hex color

#0F5B44

RGB(15, 91, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.68.

Address: 0.15.91.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.68

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 1,006,404 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 US1,006,404 on Google Patents ↗ Look up on USPTO ↗