Live analysis

1,001,304

1,001,304 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.).

1,001,304 (one million one thousand three hundred four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 13,907. Its proper divisors sum to 1,710,756, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4758.

Abundant Number Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,001,292 1,001,293 1,001,294 1,001,295 1,001,296 1,001,297 1,001,298 1,001,299 1,001,300 1,001,301 1,001,302 1,001,303 1,001,304 1,001,305 1,001,306 1,001,307 1,001,308 1,001,309 1,001,310 1,001,311 1,001,312 1,001,313 1,001,314 1,001,315 1,001,316

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,031,001
Square (n²): 1,002,609,700,416
Cube (n³): 1,003,917,103,465,342,464
Divisor count: 24
σ(n) — sum of divisors: 2,712,060
φ(n) — Euler's totient: 333,744
Sum of prime factors: 13,919

Primality

Prime factorization: 2 ³ × 3 ² × 13907

Nearest primes: 1,001,303 (−1) · 1,001,311 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 13907 · 27814 · 41721 · 55628 · 83442 · 111256 · 125163 · 166884 · 250326 · 333768 · 500652 (half) · 1001304

Aliquot sum (sum of proper divisors): 1,710,756

Factor pairs (a × b = 1,001,304)

1 × 1001304

2 × 500652

3 × 333768

4 × 250326

6 × 166884

8 × 125163

9 × 111256

12 × 83442

18 × 55628

24 × 41721

36 × 27814

72 × 13907

First multiples

1,001,304 · 2,002,608 (double) · 3,003,912 · 4,005,216 · 5,006,520 · 6,007,824 · 7,009,128 · 8,010,432 · 9,011,736 · 10,013,040

Sums & aliquot sequence

As consecutive integers: 333,767 + 333,768 + 333,769 111,252 + 111,253 + … + 111,260 62,574 + 62,575 + … + 62,589 20,837 + 20,838 + … + 20,884

Aliquot sequence: 1,001,304 → 1,710,756 → 2,613,746 → 1,306,876 → 1,006,484 → 754,870 → 735,530 → 588,442 → 322,790 → 309,658 → 159,494 → 93,874 → 69,422 → 36,034 → 19,406 → 10,738 → 9,422 — unresolved within range

Continued fraction of √n

√1,001,304 = [1000; (1, 1, 1, 6, 1, 4, 42, 2, 1, 1, 1, 26, 1, 3, 1, 3, 9, 1, 2, 1, 8, 1, 1, 11, …)]

Representations

In words: one million one thousand three hundred four
Ordinal: 1001304th
Binary: 11110100011101011000
Octal: 3643530
Hexadecimal: 0xF4758
Base64: D0dY
One's complement: 4,293,965,991 (32-bit)
Scientific notation: 1.001304 × 10⁶
As a duration: 1,001,304 s = 11 days, 14 hours, 8 minutes, 24 seconds

In other bases

ternary (3) 1212212112100

quaternary (4) 3310131120

quinary (5) 224020204

senary (6) 33243400

septenary (7) 11340153

nonary (9) 1785470

undecimal (11) 624327

duodecimal (12) 403560

tridecimal (13) 2909b5

tetradecimal (14) 1c0c9a

pentadecimal (15) 14ba39

As an angle

1,001,304° = 2,781 × 360° + 144°

144° ≈ 2.513 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬一千三百零四
Chinese (financial): 壹佰萬壹仟參佰零肆

In other modern scripts

Eastern Arabic ١٠٠١٣٠٤ Devanagari १००१३०४ Bengali ১০০১৩০৪ Tamil ௧௦௦௧௩௦௪ Thai ๑๐๐๑๓๐๔ Tibetan ༡༠༠༡༣༠༤ Khmer ១០០១៣០៤ Lao ໑໐໐໑໓໐໔ Burmese ၁၀၀၁၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001304, here are decompositions:

13 + 1001291 = 1001304
37 + 1001267 = 1001304
67 + 1001237 = 1001304
107 + 1001197 = 1001304
113 + 1001191 = 1001304
127 + 1001177 = 1001304
131 + 1001173 = 1001304
151 + 1001153 = 1001304

Showing the first eight; more decompositions exist.

Hex color

#0F4758

RGB(15, 71, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.88.

Address: 0.15.71.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.88

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 1,001,304 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 US1,001,304 on Google Patents ↗ Look up on USPTO ↗