Live analysis

1,013,304

1,013,304 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.).

1,013,304 (one million thirteen thousand three hundred four) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 42,221. Its proper divisors sum to 1,520,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7638.

Abundant Number Evil Number Harshad / Niven Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,292 1,013,293 1,013,294 1,013,295 1,013,296 1,013,297 1,013,298 1,013,299 1,013,300 1,013,301 1,013,302 1,013,303 1,013,304 1,013,305 1,013,306 1,013,307 1,013,308 1,013,309 1,013,310 1,013,311 1,013,312 1,013,313 1,013,314 1,013,315 1,013,316

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Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,033,101
Square (n²): 1,026,784,996,416
Cube (n³): 1,040,445,344,008,318,464
Divisor count: 16
σ(n) — sum of divisors: 2,533,320
φ(n) — Euler's totient: 337,760
Sum of prime factors: 42,230

Primality

Prime factorization: 2 ³ × 3 × 42221

Nearest primes: 1,013,291 (−13) · 1,013,321 (+17)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 42221 · 84442 · 126663 · 168884 · 253326 · 337768 · 506652 (half) · 1013304

Aliquot sum (sum of proper divisors): 1,520,016

Factor pairs (a × b = 1,013,304)

1 × 1013304

2 × 506652

3 × 337768

4 × 253326

6 × 168884

8 × 126663

12 × 84442

24 × 42221

First multiples

1,013,304 · 2,026,608 (double) · 3,039,912 · 4,053,216 · 5,066,520 · 6,079,824 · 7,093,128 · 8,106,432 · 9,119,736 · 10,133,040

Sums & aliquot sequence

As consecutive integers: 337,767 + 337,768 + 337,769 63,324 + 63,325 + … + 63,339 21,087 + 21,088 + … + 21,134

Aliquot sequence: 1,013,304 → 1,520,016 → 2,406,816 → 4,600,548 → 7,280,412 → 10,256,100 → 21,179,388 → 28,239,212 → 21,569,428 → 18,234,476 → 16,130,596 → 12,561,144 → 18,995,976 → 34,692,984 → 59,267,376 → 142,386,384 → 277,993,456 — unresolved within range

Continued fraction of √n

√1,013,304 = [1006; (1, 1, 1, 2, 2, 1, 2, 1, 3, 1, 15, 1, 86, 1, 1, 2, 5, 80, 2, 1, 8, 1, 2, 3, …)]

Representations

In words: one million thirteen thousand three hundred four
Ordinal: 1013304th
Binary: 11110111011000111000
Octal: 3673070
Hexadecimal: 0xF7638
Base64: D3Y4
One's complement: 4,293,953,991 (32-bit)
Scientific notation: 1.013304 × 10⁶
As a duration: 1,013,304 s = 11 days, 17 hours, 28 minutes, 24 seconds

In other bases

ternary (3) 1220110222210

quaternary (4) 3313120320

quinary (5) 224411204

senary (6) 33415120

septenary (7) 11420145

nonary (9) 1813883

undecimal (11) 632346

duodecimal (12) 40a4a0

tridecimal (13) 2962b6

tetradecimal (14) 1c53cc

pentadecimal (15) 150389

As an angle

1,013,304° = 2,814 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千三百零四
Chinese (financial): 壹佰零壹萬參仟參佰零肆

In other modern scripts

Eastern Arabic ١٠١٣٣٠٤ Devanagari १०१३३०४ Bengali ১০১৩৩০৪ Tamil ௧௦௧௩௩௦௪ Thai ๑๐๑๓๓๐๔ Tibetan ༡༠༡༣༣༠༤ Khmer ១០១៣៣០៤ Lao ໑໐໑໓໓໐໔ Burmese ၁၀၁၃၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013304, here are decompositions:

13 + 1013291 = 1013304
37 + 1013267 = 1013304
41 + 1013263 = 1013304
67 + 1013237 = 1013304
101 + 1013203 = 1013304
107 + 1013197 = 1013304
151 + 1013153 = 1013304
241 + 1013063 = 1013304

Showing the first eight; more decompositions exist.

Hex color

#0F7638

RGB(15, 118, 56)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.56.

Address: 0.15.118.56
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.56

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3304 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3304-10-01 (MMDYYYY (US, single-digit day))
3304-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,304 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 US1,013,304 on Google Patents ↗ Look up on USPTO ↗