The number 24648
24648 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 79. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 79, 104, 156 … 24648.
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How to work it out
- 1
What is special about 24648: a Harshad number: divisible by its digit sum 24.
- 2
24648 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 24648 itself that is 42552, so 24648 is abundant (42552 is more than 24648). Euler's totient φ(24648) = 7488 numbers up to 24648 share no factor with it.
- 4
The digits of 24648 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24648 = 2^{3} \times 3 \times 13 \times 79 \]24648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 7488 |
| Square | 607523904 |
| Cube | 14974249185792 |
| Square root | 156.996815 (= 2√6162) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4648 × |
24648 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand six hundred and forty-eight |
| Binary (base 2) | 110000001001000 |
| Octal (base 8) | 60110 |
| Hexadecimal (base 16) | 6048 |
| Base 3 | 1020210220 |
| As time | 24648 seconds = 6 h 50 min 48 s |
Is 24648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24648 ÷ 2 = 12324) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24648 ÷ 3 = 8216) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24648 ÷ 4 = 6162) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24648 ÷ 6 = 4108) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (24648 ÷ 8 = 3081) | 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 8) | 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 (24648 ÷ 12 = 2054) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24648 a prime number?
No. 24648 = × 3 × 13 × 79, so it is divisible by 2.
What are the factors of 24648?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 79, 104, 156, 158, 237, 312, 316, 474, 632, 948, 1027, 1896, 2054, 3081, 4108, 6162, 8216, 12324, 24648.
What is 24648 in binary?
110000001001000 (hexadecimal 6048, octal 60110).
What is the square root of 24648?
About 156.9968, exactly 2√6162.
Is 24648 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 24648?
24648 is a Harshad number: divisible by its digit sum 24.