Live analysis

1,004,304

1,004,304 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.).

1,004,304 (one million four thousand three hundred four) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 7³ × 61. Its proper divisors sum to 2,070,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5310.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Self Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,004,292 1,004,293 1,004,294 1,004,295 1,004,296 1,004,297 1,004,298 1,004,299 1,004,300 1,004,301 1,004,302 1,004,303 1,004,304 1,004,305 1,004,306 1,004,307 1,004,308 1,004,309 1,004,310 1,004,311 1,004,312 1,004,313 1,004,314 1,004,315 1,004,316

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,034,001
Square (n²): 1,008,626,524,416
Cube (n³): 1,012,967,652,977,086,464
Divisor count: 80
σ(n) — sum of divisors: 3,075,200
φ(n) — Euler's totient: 282,240
Sum of prime factors: 93

Primality

Prime factorization: 2 ⁴ × 3 × 7 ³ × 61

Nearest primes: 1,004,303 (−1) · 1,004,317 (+13)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 49 · 56 · 61 · 84 · 98 · 112 · 122 · 147 · 168 · 183 · 196 · 244 · 294 · 336 · 343 · 366 · 392 · 427 · 488 · 588 · 686 · 732 · 784 · 854 · 976 · 1029 · 1176 · 1281 · 1372 · 1464 · 1708 · 2058 · 2352 · 2562 · 2744 · 2928 · 2989 · 3416 · 4116 · 5124 · 5488 · 5978 · 6832 · 8232 · 8967 · 10248 · 11956 · 16464 · 17934 · 20496 · 20923 · 23912 · 35868 · 41846 · 47824 · 62769 · 71736 · 83692 · 125538 · 143472 · 167384 · 251076 · 334768 · 502152 (half) · 1004304

Aliquot sum (sum of proper divisors): 2,070,896

Factor pairs (a × b = 1,004,304)

1 × 1004304

2 × 502152

3 × 334768

4 × 251076

6 × 167384

7 × 143472

8 × 125538

12 × 83692

14 × 71736

16 × 62769

21 × 47824

24 × 41846

28 × 35868

42 × 23912

48 × 20923

49 × 20496

56 × 17934

61 × 16464

84 × 11956

98 × 10248

112 × 8967

122 × 8232

147 × 6832

168 × 5978

183 × 5488

196 × 5124

244 × 4116

294 × 3416

336 × 2989

343 × 2928

366 × 2744

392 × 2562

427 × 2352

488 × 2058

588 × 1708

686 × 1464

732 × 1372

784 × 1281

854 × 1176

976 × 1029

First multiples

1,004,304 · 2,008,608 (double) · 3,012,912 · 4,017,216 · 5,021,520 · 6,025,824 · 7,030,128 · 8,034,432 · 9,038,736 · 10,043,040

Sums & aliquot sequence

As consecutive integers: 334,767 + 334,768 + 334,769 143,469 + 143,470 + … + 143,475 47,814 + 47,815 + … + 47,834 31,369 + 31,370 + … + 31,400

Aliquot sequence: 1,004,304 → 2,070,896 → 1,963,816 → 1,718,354 → 1,170,862 → 1,019,090 → 835,270 → 684,938 → 342,472 → 375,728 → 384,640 → 536,420 → 590,104 → 581,696 → 599,404 → 530,340 → 954,780 — unresolved within range

Continued fraction of √n

√1,004,304 = [1002; (6, 1, 2, 7, 1, 2, 3, 16, 3, 1, 3, 4, 3, 40, 1, 1, 2, 7, 2, 3, 11, 1, 2, 2, …)]

Representations

In words: one million four thousand three hundred four
Ordinal: 1004304th
Binary: 11110101001100010000
Octal: 3651420
Hexadecimal: 0xF5310
Base64: D1MQ
One's complement: 4,293,962,991 (32-bit)
Scientific notation: 1.004304 × 10⁶
As a duration: 1,004,304 s = 11 days, 14 hours, 58 minutes, 24 seconds

In other bases

ternary (3) 1220000122110

quaternary (4) 3311030100

quinary (5) 224114204

senary (6) 33305320

septenary (7) 11352000

nonary (9) 1800573

undecimal (11) 626604

duodecimal (12) 405240

tridecimal (13) 292182

tetradecimal (14) 1c2000

pentadecimal (15) 14c889

As an angle

1,004,304° = 2,789 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬四千三百零四
Chinese (financial): 壹佰萬肆仟參佰零肆

In other modern scripts

Eastern Arabic ١٠٠٤٣٠٤ Devanagari १००४३०४ Bengali ১০০৪৩০৪ Tamil ௧௦௦௪௩௦௪ Thai ๑๐๐๔๓๐๔ Tibetan ༡༠༠༤༣༠༤ Khmer ១០០៤៣០៤ Lao ໑໐໐໔໓໐໔ Burmese ၁၀၀၄၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004304, here are decompositions:

11 + 1004293 = 1004304
17 + 1004287 = 1004304
31 + 1004273 = 1004304
71 + 1004233 = 1004304
83 + 1004221 = 1004304
137 + 1004167 = 1004304
163 + 1004141 = 1004304
167 + 1004137 = 1004304

Showing the first eight; more decompositions exist.

Hex color

#0F5310

RGB(15, 83, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.16.

Address: 0.15.83.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.16

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 1,004,304 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 US1,004,304 on Google Patents ↗ Look up on USPTO ↗