The number 60804
60804 is a composite number with 24 divisors. Its prime factorisation is × × 563. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 563, 1126, 1689, 2252 … 60804.
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How to work it out
- 1
What is special about 60804: a Harshad number: divisible by its digit sum 18.
- 2
60804 is composite. Its prime factorisation is
- 3
The divisors add up to 157920; without 60804 itself that is 97116, so 60804 is abundant (97116 is more than 60804). Euler's totient φ(60804) = 20232 numbers up to 60804 share no factor with it.
- 4
The digits of 60804 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60804 = 2^{2} \times 3^{3} \times 563 \]60804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 157920 |
| Euler totient φ(n) | 20232 |
| Square | 3697126416 |
| Cube | 224800074598464 |
| Square root | 246.584671 (= 6√1689) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.0804 × |
60804 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand eight hundred and four |
| Binary (base 2) | 1110110110000100 |
| Octal (base 8) | 166604 |
| Hexadecimal (base 16) | ED84 |
| Base 3 | 10002102000 |
| As time | 60804 seconds = 16 h 53 min 24 s |
Is 60804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60804 ÷ 2 = 30402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60804 ÷ 3 = 20268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60804 ÷ 4 = 15201) | 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 (60804 ÷ 6 = 10134) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (60804 ÷ 9 = 6756) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60804 ÷ 12 = 5067) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60804 a prime number?
No. 60804 = × × 563, so it is divisible by 2.
What are the factors of 60804?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 563, 1126, 1689, 2252, 3378, 5067, 6756, 10134, 15201, 20268, 30402, 60804.
What is 60804 in binary?
1110110110000100 (hexadecimal ED84, octal 166604).
What is the square root of 60804?
About 246.5847, exactly 6√1689.
Is 60804 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60804?
60804 is a Harshad number: divisible by its digit sum 18.