The number 51804
51804 is a composite number with 18 divisors. Its prime factorisation is × × 1439. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1439, 2878, 4317, 5756, 8634, 12951, 17268 … 51804.
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How to work it out
- 1
What is special about 51804: a Harshad number: divisible by its digit sum 18.
- 2
51804 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 51804 itself that is 79236, so 51804 is abundant (79236 is more than 51804). Euler's totient φ(51804) = 17256 numbers up to 51804 share no factor with it.
- 4
The digits of 51804 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51804 = 2^{2} \times 3^{2} \times 1439 \]51804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 17256 |
| Square | 2683654416 |
| Cube | 139024033366464 |
| Square root | 227.604921 (= 6√1439) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.1804 × |
51804 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand eight hundred and four |
| Binary (base 2) | 1100101001011100 |
| Octal (base 8) | 145134 |
| Hexadecimal (base 16) | CA5C |
| Base 3 | 2122001200 |
| As time | 51804 seconds = 14 h 23 min 24 s |
Is 51804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51804 ÷ 2 = 25902) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51804 ÷ 3 = 17268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (51804 ÷ 4 = 12951) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (51804 ÷ 6 = 8634) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (51804 ÷ 9 = 5756) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (51804 ÷ 12 = 4317) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51804 a prime number?
No. 51804 = × × 1439, so it is divisible by 2.
What are the factors of 51804?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1439, 2878, 4317, 5756, 8634, 12951, 17268, 25902, 51804.
What is 51804 in binary?
1100101001011100 (hexadecimal CA5C, octal 145134).
What is the square root of 51804?
About 227.6049, exactly 6√1439.
Is 51804 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 51804?
51804 is a Harshad number: divisible by its digit sum 18.