Live analysis

1,006,304

1,006,304 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.).

1,006,304 (one million six thousand three hundred four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 13 × 41 × 59. Its proper divisors sum to 1,216,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5AE0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,292 1,006,293 1,006,294 1,006,295 1,006,296 1,006,297 1,006,298 1,006,299 1,006,300 1,006,301 1,006,302 1,006,303 1,006,304 1,006,305 1,006,306 1,006,307 1,006,308 1,006,309 1,006,310 1,006,311 1,006,312 1,006,313 1,006,314 1,006,315 1,006,316

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,036,001
Square (n²): 1,012,647,740,416
Cube (n³): 1,019,031,471,771,582,464
Divisor count: 48
σ(n) — sum of divisors: 2,222,640
φ(n) — Euler's totient: 445,440
Sum of prime factors: 123

Primality

Prime factorization: 2 ⁵ × 13 × 41 × 59

Nearest primes: 1,006,303 (−1) · 1,006,307 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 41 · 52 · 59 · 82 · 104 · 118 · 164 · 208 · 236 · 328 · 416 · 472 · 533 · 656 · 767 · 944 · 1066 · 1312 · 1534 · 1888 · 2132 · 2419 · 3068 · 4264 · 4838 · 6136 · 8528 · 9676 · 12272 · 17056 · 19352 · 24544 · 31447 · 38704 · 62894 · 77408 · 125788 · 251576 · 503152 (half) · 1006304

Aliquot sum (sum of proper divisors): 1,216,336

Factor pairs (a × b = 1,006,304)

1 × 1006304

2 × 503152

4 × 251576

8 × 125788

13 × 77408

16 × 62894

26 × 38704

32 × 31447

41 × 24544

52 × 19352

59 × 17056

82 × 12272

104 × 9676

118 × 8528

164 × 6136

208 × 4838

236 × 4264

328 × 3068

416 × 2419

472 × 2132

533 × 1888

656 × 1534

767 × 1312

944 × 1066

First multiples

1,006,304 · 2,012,608 (double) · 3,018,912 · 4,025,216 · 5,031,520 · 6,037,824 · 7,044,128 · 8,050,432 · 9,056,736 · 10,063,040

Sums & aliquot sequence

As consecutive integers: 77,402 + 77,403 + … + 77,414 24,524 + 24,525 + … + 24,564 17,027 + 17,028 + … + 17,085 15,692 + 15,693 + … + 15,755

Aliquot sequence: 1,006,304 → 1,216,336 → 1,354,928 → 1,409,032 → 1,232,918 → 616,462 → 536,690 → 769,678 → 651,602 → 514,618 → 316,730 → 283,750 → 250,454 → 129,394 → 71,054 → 35,530 → 42,230 — unresolved within range

Continued fraction of √n

√1,006,304 = [1003; (6, 1, 4, 80, 21, 1, 3, 1, 7, 3, 12, 4, 1, 1, 4, 3, 1, 1, 2, 1, 11, 1, 4, 1, …)]

Representations

In words: one million six thousand three hundred four
Ordinal: 1006304th
Binary: 11110101101011100000
Octal: 3655340
Hexadecimal: 0xF5AE0
Base64: D1rg
One's complement: 4,293,960,991 (32-bit)
Scientific notation: 1.006304 × 10⁶
As a duration: 1,006,304 s = 11 days, 15 hours, 31 minutes, 44 seconds

In other bases

ternary (3) 1220010101112

quaternary (4) 3311223200

quinary (5) 224200204

senary (6) 33322452

septenary (7) 11360555

nonary (9) 1803345

undecimal (11) 628062

duodecimal (12) 406428

tridecimal (13) 293060

tetradecimal (14) 1c2a2c

pentadecimal (15) 14d26e

As an angle

1,006,304° = 2,795 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬六千三百零四
Chinese (financial): 壹佰萬陸仟參佰零肆

In other modern scripts

Eastern Arabic ١٠٠٦٣٠٤ Devanagari १००६३०४ Bengali ১০০৬৩০৪ Tamil ௧௦௦௬௩௦௪ Thai ๑๐๐๖๓๐๔ Tibetan ༡༠༠༦༣༠༤ Khmer ១០០៦៣០៤ Lao ໑໐໐໖໓໐໔ Burmese ၁၀၀၆၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006304, here are decompositions:

3 + 1006301 = 1006304
37 + 1006267 = 1006304
67 + 1006237 = 1006304
73 + 1006231 = 1006304
127 + 1006177 = 1006304
151 + 1006153 = 1006304
157 + 1006147 = 1006304
181 + 1006123 = 1006304

Showing the first eight; more decompositions exist.

Hex color

#0F5AE0

RGB(15, 90, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.224.

Address: 0.15.90.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.224

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 1,006,304 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 US1,006,304 on Google Patents ↗ Look up on USPTO ↗