The number 60324
60324 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 457. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 457, 914, 1371, 1828 … 60324.
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How to work it out
- 1
60324 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60324 is composite. Its prime factorisation is
- 3
The divisors add up to 153888; without 60324 itself that is 93564, so 60324 is abundant (93564 is more than 60324). Euler's totient φ(60324) = 18240 numbers up to 60324 share no factor with it.
- 4
The digits of 60324 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60324 = 2^{2} \times 3 \times 11 \times 457 \]60324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 153888 |
| Euler totient φ(n) | 18240 |
| Square | 3638984976 |
| Cube | 219518129692224 |
| Square root | 245.609446 (= 2√15081) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0324 × |
60324 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and twenty-four |
| Binary (base 2) | 1110101110100100 |
| Octal (base 8) | 165644 |
| Hexadecimal (base 16) | EBA4 |
| Base 3 | 10001202020 |
| As time | 60324 seconds = 16 h 45 min 24 s |
Is 60324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60324 ÷ 2 = 30162) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60324 ÷ 3 = 20108) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60324 ÷ 4 = 15081) | 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 (60324 ÷ 6 = 10054) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 6) | 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 | Yes (60324 ÷ 11 = 5484) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60324 ÷ 12 = 5027) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60324 a prime number?
No. 60324 = × 3 × 11 × 457, so it is divisible by 2.
What are the factors of 60324?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 457, 914, 1371, 1828, 2742, 5027, 5484, 10054, 15081, 20108, 30162, 60324.
What is 60324 in binary?
1110101110100100 (hexadecimal EBA4, octal 165644).
What is the square root of 60324?
About 245.6094, exactly 2√15081.
Is 60324 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 60324?
It is a composite number with 24 divisors.