The number 24264
24264 is a composite number with 24 divisors. Its prime factorisation is × × 337. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 337, 674, 1011, 1348 … 24264.
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How to work it out
- 1
What is special about 24264: a Harshad number: divisible by its digit sum 18.
- 2
24264 is composite. Its prime factorisation is
- 3
The divisors add up to 65910; without 24264 itself that is 41646, so 24264 is abundant (41646 is more than 24264). Euler's totient φ(24264) = 8064 numbers up to 24264 share no factor with it.
- 4
The digits of 24264 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 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24264 = 2^{3} \times 3^{2} \times 337 \]24264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 65910 |
| Euler totient φ(n) | 8064 |
| Square | 588741696 |
| Cube | 14285228511744 |
| Square root | 155.769060 (= 6√674) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 25 |
| Scientific notation | 2.4264 × |
24264 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand two hundred and sixty-four |
| Binary (base 2) | 101111011001000 |
| Octal (base 8) | 57310 |
| Hexadecimal (base 16) | 5EC8 |
| Base 3 | 1020021200 |
| As time | 24264 seconds = 6 h 44 min 24 s |
Is 24264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24264 ÷ 2 = 12132) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24264 ÷ 3 = 8088) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24264 ÷ 4 = 6066) | 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 (24264 ÷ 6 = 4044) | 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 | Yes (24264 ÷ 8 = 3033) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24264 ÷ 9 = 2696) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24264 ÷ 12 = 2022) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24264 a prime number?
No. 24264 = × × 337, so it is divisible by 2.
What are the factors of 24264?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 337, 674, 1011, 1348, 2022, 2696, 3033, 4044, 6066, 8088, 12132, 24264.
What is 24264 in binary?
101111011001000 (hexadecimal 5EC8, octal 57310).
What is the square root of 24264?
About 155.7691, exactly 6√674.
Is 24264 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24264?
24264 is a Harshad number: divisible by its digit sum 18.