Live analysis

1,004,328

1,004,328 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.).

1,004,328 (one million four thousand three hundred twenty-eight) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 13 × 29 × 37. Its proper divisors sum to 2,107,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5328.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Self Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,004,316 1,004,317 1,004,318 1,004,319 1,004,320 1,004,321 1,004,322 1,004,323 1,004,324 1,004,325 1,004,326 1,004,327 1,004,328 1,004,329 1,004,330 1,004,331 1,004,332 1,004,333 1,004,334 1,004,335 1,004,336 1,004,337 1,004,338 1,004,339 1,004,340

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,234,001
Square (n²): 1,008,674,731,584
Cube (n³): 1,013,040,275,822,295,552
Divisor count: 96
σ(n) — sum of divisors: 3,112,200
φ(n) — Euler's totient: 290,304
Sum of prime factors: 91

Primality

Prime factorization: 2 ³ × 3 ² × 13 × 29 × 37

Nearest primes: 1,004,323 (−5) · 1,004,363 (+35)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 24 · 26 · 29 · 36 · 37 · 39 · 52 · 58 · 72 · 74 · 78 · 87 · 104 · 111 · 116 · 117 · 148 · 156 · 174 · 222 · 232 · 234 · 261 · 296 · 312 · 333 · 348 · 377 · 444 · 468 · 481 · 522 · 666 · 696 · 754 · 888 · 936 · 962 · 1044 · 1073 · 1131 · 1332 · 1443 · 1508 · 1924 · 2088 · 2146 · 2262 · 2664 · 2886 · 3016 · 3219 · 3393 · 3848 · 4292 · 4329 · 4524 · 5772 · 6438 · 6786 · 8584 · 8658 · 9048 · 9657 · 11544 · 12876 · 13572 · 13949 · 17316 · 19314 · 25752 · 27144 · 27898 · 34632 · 38628 · 41847 · 55796 · 77256 · 83694 · 111592 · 125541 · 167388 · 251082 · 334776 · 502164 (half) · 1004328

Aliquot sum (sum of proper divisors): 2,107,872

Factor pairs (a × b = 1,004,328)

1 × 1004328

2 × 502164

3 × 334776

4 × 251082

6 × 167388

8 × 125541

9 × 111592

12 × 83694

13 × 77256

18 × 55796

24 × 41847

26 × 38628

29 × 34632

36 × 27898

37 × 27144

39 × 25752

52 × 19314

58 × 17316

72 × 13949

74 × 13572

78 × 12876

87 × 11544

104 × 9657

111 × 9048

116 × 8658

117 × 8584

148 × 6786

156 × 6438

174 × 5772

222 × 4524

232 × 4329

234 × 4292

261 × 3848

296 × 3393

312 × 3219

333 × 3016

348 × 2886

377 × 2664

444 × 2262

468 × 2146

481 × 2088

522 × 1924

666 × 1508

696 × 1443

754 × 1332

888 × 1131

936 × 1073

962 × 1044

First multiples

1,004,328 · 2,008,656 (double) · 3,012,984 · 4,017,312 · 5,021,640 · 6,025,968 · 7,030,296 · 8,034,624 · 9,038,952 · 10,043,280

Sums & aliquot sequence

As a sum of two squares: 18² + 1,002² = 342² + 942² = 402² + 918² = 678² + 738²

As consecutive integers: 334,775 + 334,776 + 334,777 111,588 + 111,589 + … + 111,596 77,250 + 77,251 + … + 77,262 62,763 + 62,764 + … + 62,778

Aliquot sequence: 1,004,328 → 2,107,872 → 4,358,952 → 8,357,388 → 12,834,132 → 17,238,540 → 35,419,380 → 63,755,052 → 86,326,404 → 120,515,196 → 165,308,804 → 124,084,300 → 145,882,796 → 109,412,104 → 105,231,416 → 92,077,504 → 91,014,840 — unresolved within range

Continued fraction of √n

√1,004,328 = [1002; (6, 5, 2, 1, 1, 2, 6, 2, 1, 1, 2, 5, 6, 2004)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million four thousand three hundred twenty-eight
Ordinal: 1004328th
Binary: 11110101001100101000
Octal: 3651450
Hexadecimal: 0xF5328
Base64: D1Mo
One's complement: 4,293,962,967 (32-bit)
Scientific notation: 1.004328 × 10⁶
As a duration: 1,004,328 s = 11 days, 14 hours, 58 minutes, 48 seconds

In other bases

ternary (3) 1220000200100

quaternary (4) 3311030220

quinary (5) 224114303

senary (6) 33305400

septenary (7) 11352033

nonary (9) 1800610

undecimal (11) 626626

duodecimal (12) 405260

tridecimal (13) 2921a0

tetradecimal (14) 1c201a

pentadecimal (15) 14c8a3

Palindromic in base 11

As an angle

1,004,328° = 2,789 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千三百二十八
Chinese (financial): 壹佰萬肆仟參佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٤٣٢٨ Devanagari १००४३२८ Bengali ১০০৪৩২৮ Tamil ௧௦௦௪௩௨௮ Thai ๑๐๐๔๓๒๘ Tibetan ༡༠༠༤༣༢༨ Khmer ១០០៤៣២៨ Lao ໑໐໐໔໓໒໘ Burmese ၁၀၀၄၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004328, here are decompositions:

5 + 1004323 = 1004328
11 + 1004317 = 1004328
41 + 1004287 = 1004328
107 + 1004221 = 1004328
167 + 1004161 = 1004328
191 + 1004137 = 1004328
211 + 1004117 = 1004328
239 + 1004089 = 1004328

Showing the first eight; more decompositions exist.

Hex color

#0F5328

RGB(15, 83, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.40.

Address: 0.15.83.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.40

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 1,004,328 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 US1,004,328 on Google Patents ↗ Look up on USPTO ↗