The number 24996
24996 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2083. Divisors (12): 1, 2, 3, 4, 6, 12, 2083, 4166, 6249, 8332, 12498, 24996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24996 is composite. Its prime factorisation is
- 3
The divisors add up to 58352; without 24996 itself that is 33356, so 24996 is abundant (33356 is more than 24996). Euler's totient φ(24996) = 8328 numbers up to 24996 share no factor with it.
- 4
The digits of 24996 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24996 = 2^{2} \times 3 \times 2083 \]24996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58352 |
| Euler totient φ(n) | 8328 |
| Square | 624800016 |
| Cube | 15617501199936 |
| Square root | 158.101233 (= 2√6249) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4996 × |
24996 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and ninety-six |
| Binary (base 2) | 110000110100100 |
| Octal (base 8) | 60644 |
| Hexadecimal (base 16) | 61A4 |
| Base 3 | 1021021210 |
| As time | 24996 seconds = 6 h 56 min 36 s |
Is 24996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24996 ÷ 2 = 12498) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24996 ÷ 3 = 8332) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24996 ÷ 4 = 6249) | 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 | Yes (24996 ÷ 6 = 4166) | 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 | No (remainder 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24996 ÷ 12 = 2083) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24996 a prime number?
No. 24996 = × 3 × 2083, so it is divisible by 2.
What are the factors of 24996?
1, 2, 3, 4, 6, 12, 2083, 4166, 6249, 8332, 12498, 24996.
What is 24996 in binary?
110000110100100 (hexadecimal 61A4, octal 60644).
What is the square root of 24996?
About 158.1012, exactly 2√6249.
Is 24996 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 24996?
It is a composite number with 12 divisors.