Live analysis

1,002,404

1,002,404 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.).

1,002,404 (one million two thousand four hundred four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 37 × 521. Written other ways, in hexadecimal, 0xF4BA4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,002,392 1,002,393 1,002,394 1,002,395 1,002,396 1,002,397 1,002,398 1,002,399 1,002,400 1,002,401 1,002,402 1,002,403 1,002,404 1,002,405 1,002,406 1,002,407 1,002,408 1,002,409 1,002,410 1,002,411 1,002,412 1,002,413 1,002,414 1,002,415 1,002,416

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 4,042,001
Square (n²): 1,004,813,779,216
Cube (n³): 1,007,229,351,541,235,264
Divisor count: 24
σ(n) — sum of divisors: 1,943,928
φ(n) — Euler's totient: 449,280
Sum of prime factors: 575

Primality

Prime factorization: 2 ² × 13 × 37 × 521

Nearest primes: 1,002,403 (−1) · 1,002,427 (+23)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 13 · 26 · 37 · 52 · 74 · 148 · 481 · 521 · 962 · 1042 · 1924 · 2084 · 6773 · 13546 · 19277 · 27092 · 38554 · 77108 · 250601 · 501202 (half) · 1002404

Aliquot sum (sum of proper divisors): 941,524

Factor pairs (a × b = 1,002,404)

1 × 1002404

2 × 501202

4 × 250601

13 × 77108

26 × 38554

37 × 27092

52 × 19277

74 × 13546

148 × 6773

481 × 2084

521 × 1924

962 × 1042

First multiples

1,002,404 · 2,004,808 (double) · 3,007,212 · 4,009,616 · 5,012,020 · 6,014,424 · 7,016,828 · 8,019,232 · 9,021,636 · 10,024,040

Sums & aliquot sequence

As a sum of two squares: 80² + 998² = 248² + 970² = 310² + 952² = 602² + 800²

As consecutive integers: 125,297 + 125,298 + … + 125,304 77,102 + 77,103 + … + 77,114 27,074 + 27,075 + … + 27,110 9,587 + 9,588 + … + 9,690

Aliquot sequence: 1,002,404 → 941,524 → 746,624 → 824,176 → 772,696 → 676,124 → 605,044 → 550,124 → 424,780 → 483,428 → 439,564 → 329,680 → 498,392 → 436,108 → 351,924 → 469,260 → 1,143,540 — unresolved within range

Continued fraction of √n

√1,002,404 = [1001; (4, 1, 30, 2, 19, 1, 1, 7, 3, 4, 3, 3, 1, 1, 1, 2, 1, 1, 3, 2, 1, 19, 7, 1, …)]

Representations

In words: one million two thousand four hundred four
Ordinal: 1002404th
Binary: 11110100101110100100
Octal: 3645644
Hexadecimal: 0xF4BA4
Base64: D0uk
One's complement: 4,293,964,891 (32-bit)
Scientific notation: 1.002404 × 10⁶
As a duration: 1,002,404 s = 11 days, 14 hours, 26 minutes, 44 seconds

In other bases

ternary (3) 1212221001002

quaternary (4) 3310232210

quinary (5) 224034104

senary (6) 33252432

septenary (7) 11343314

nonary (9) 1787032

undecimal (11) 625137

duodecimal (12) 404118

tridecimal (13) 291350

tetradecimal (14) 1c1444

pentadecimal (15) 14c01e

As an angle

1,002,404° = 2,784 × 360° + 164°

164° ≈ 2.862 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬二千四百零四
Chinese (financial): 壹佰萬貳仟肆佰零肆

In other modern scripts

Eastern Arabic ١٠٠٢٤٠٤ Devanagari १००२४०४ Bengali ১০০২৪০৪ Tamil ௧௦௦௨௪௦௪ Thai ๑๐๐๒๔๐๔ Tibetan ༡༠༠༢༤༠༤ Khmer ១០០២៤០៤ Lao ໑໐໐໒໔໐໔ Burmese ၁၀၀၂၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002404, here are decompositions:

43 + 1002361 = 1002404
61 + 1002343 = 1002404
157 + 1002247 = 1002404
163 + 1002241 = 1002404
283 + 1002121 = 1002404
313 + 1002091 = 1002404
331 + 1002073 = 1002404
421 + 1001983 = 1002404

Showing the first eight; more decompositions exist.

Hex color

#0F4BA4

RGB(15, 75, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.164.

Address: 0.15.75.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.164

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 1,002,404 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 US1,002,404 on Google Patents ↗ Look up on USPTO ↗