The number 60624
60624 is a composite number with 30 divisors. Its prime factorisation is × × 421. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 421 … 60624.
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How to work it out
- 1
What is special about 60624: a Harshad number: divisible by its digit sum 18.
- 2
60624 is composite. Its prime factorisation is
- 3
The divisors add up to 170066; without 60624 itself that is 109442, so 60624 is abundant (109442 is more than 60624). Euler's totient φ(60624) = 20160 numbers up to 60624 share no factor with it.
- 4
The digits of 60624 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60624 = 2^{4} \times 3^{2} \times 421 \]60624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 170066 |
| Euler totient φ(n) | 20160 |
| Square | 3675269376 |
| Cube | 222809530650624 |
| Square root | 246.219414 (= 12√421) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.0624 × |
60624 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand six hundred and twenty-four |
| Binary (base 2) | 1110110011010000 |
| Octal (base 8) | 166320 |
| Hexadecimal (base 16) | ECD0 |
| Base 3 | 10002011100 |
| As time | 60624 seconds = 16 h 50 min 24 s |
Is 60624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60624 ÷ 2 = 30312) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60624 ÷ 3 = 20208) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60624 ÷ 4 = 15156) | 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 (60624 ÷ 6 = 10104) | 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 | Yes (60624 ÷ 8 = 7578) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60624 ÷ 9 = 6736) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60624 ÷ 12 = 5052) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60624 a prime number?
No. 60624 = × × 421, so it is divisible by 2.
What are the factors of 60624?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 421, 842, 1263, 1684, 2526, 3368, 3789, 5052, 6736, 7578, 10104, 15156, 20208, 30312, 60624.
What is 60624 in binary?
1110110011010000 (hexadecimal ECD0, octal 166320).
What is the square root of 60624?
About 246.2194, exactly 12√421.
Is 60624 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60624?
60624 is a Harshad number: divisible by its digit sum 18.