The number 24972
24972 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2081. Divisors (12): 1, 2, 3, 4, 6, 12, 2081, 4162, 6243, 8324, 12486, 24972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24972 is composite. Its prime factorisation is
- 3
The divisors add up to 58296; without 24972 itself that is 33324, so 24972 is abundant (33324 is more than 24972). Euler's totient φ(24972) = 8320 numbers up to 24972 share no factor with it.
- 4
The digits of 24972 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 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24972 = 2^{2} \times 3 \times 2081 \]24972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58296 |
| Euler totient φ(n) | 8320 |
| Square | 623600784 |
| Cube | 15572558778048 |
| Square root | 158.025314 (= 2√6243) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4972 × |
24972 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and seventy-two |
| Binary (base 2) | 110000110001100 |
| Octal (base 8) | 60614 |
| Hexadecimal (base 16) | 618C |
| Base 3 | 1021020220 |
| As time | 24972 seconds = 6 h 56 min 12 s |
Is 24972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24972 ÷ 2 = 12486) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24972 ÷ 3 = 8324) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24972 ÷ 4 = 6243) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24972 ÷ 6 = 4162) | 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 | No (remainder 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24972 ÷ 12 = 2081) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24972 a prime number?
No. 24972 = × 3 × 2081, so it is divisible by 2.
What are the factors of 24972?
1, 2, 3, 4, 6, 12, 2081, 4162, 6243, 8324, 12486, 24972.
What is 24972 in binary?
110000110001100 (hexadecimal 618C, octal 60614).
What is the square root of 24972?
About 158.0253, exactly 2√6243.
Is 24972 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 24972?
It is a composite number with 12 divisors.