The number 24496
24496 is a composite number with 10 divisors. Its prime factorisation is × 1531. Divisors (10): 1, 2, 4, 8, 16, 1531, 3062, 6124, 12248, 24496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24496 is composite. Its prime factorisation is
- 3
The divisors add up to 47492; without 24496 itself that is 22996, so 24496 is deficient (22996 is less than 24496). Euler's totient φ(24496) = 12240 numbers up to 24496 share no factor with it.
- 4
The digits of 24496 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24496 = 2^{4} \times 1531 \]24496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 47492 |
| Euler totient φ(n) | 12240 |
| Square | 600054016 |
| Cube | 14698923175936 |
| Square root | 156.511980 (= 4√1531) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4496 × |
24496 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and ninety-six |
| Binary (base 2) | 101111110110000 |
| Octal (base 8) | 57660 |
| Hexadecimal (base 16) | 5FB0 |
| Base 3 | 1020121021 |
| As time | 24496 seconds = 6 h 48 min 16 s |
Is 24496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24496 ÷ 2 = 12248) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24496 ÷ 4 = 6124) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (24496 ÷ 8 = 3062) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24496 a prime number?
No. 24496 = × 1531, so it is divisible by 2.
What are the factors of 24496?
1, 2, 4, 8, 16, 1531, 3062, 6124, 12248, 24496.
What is 24496 in binary?
101111110110000 (hexadecimal 5FB0, octal 57660).
What is the square root of 24496?
About 156.5120, exactly 4√1531.
Is 24496 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 24496?
It is a composite number with 10 divisors.