The number 60024
60024 is a composite number with 32 divisors. Its prime factorisation is × 3 × 41 × 61. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 41, 61, 82, 122, 123, 164, 183, 244 … 60024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60024: a Harshad number: divisible by its digit sum 12.
- 2
60024 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 60024 itself that is 96216, so 60024 is abundant (96216 is more than 60024). Euler's totient φ(60024) = 19200 numbers up to 60024 share no factor with it.
- 4
The digits of 60024 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60024 = 2^{3} \times 3 \times 41 \times 61 \]60024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 19200 |
| Square | 3602880576 |
| Cube | 216259303693824 |
| Square root | 244.997959 (= 2√15006) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.0024 × |
60024 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and twenty-four |
| Binary (base 2) | 1110101001111000 |
| Octal (base 8) | 165170 |
| Hexadecimal (base 16) | EA78 |
| Base 3 | 10001100010 |
| As time | 60024 seconds = 16 h 40 min 24 s |
Is 60024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60024 ÷ 2 = 30012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60024 ÷ 3 = 20008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60024 ÷ 4 = 15006) | 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 (60024 ÷ 6 = 10004) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (60024 ÷ 8 = 7503) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60024 ÷ 12 = 5002) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60024 a prime number?
No. 60024 = × 3 × 41 × 61, so it is divisible by 2.
What are the factors of 60024?
1, 2, 3, 4, 6, 8, 12, 24, 41, 61, 82, 122, 123, 164, 183, 244, 246, 328, 366, 488, 492, 732, 984, 1464, 2501, 5002, 7503, 10004, 15006, 20008, 30012, 60024.
What is 60024 in binary?
1110101001111000 (hexadecimal EA78, octal 165170).
What is the square root of 60024?
About 244.9980, exactly 2√15006.
Is 60024 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 60024?
60024 is a Harshad number: divisible by its digit sum 12.