The number 24980
24980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1249. Divisors (12): 1, 2, 4, 5, 10, 20, 1249, 2498, 4996, 6245, 12490, 24980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24980 is composite. Its prime factorisation is
- 3
The divisors add up to 52500; without 24980 itself that is 27520, so 24980 is abundant (27520 is more than 24980). Euler's totient φ(24980) = 9984 numbers up to 24980 share no factor with it.
- 4
The digits of 24980 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24980 = 2^{2} \times 5 \times 1249 \]24980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 52500 |
| Euler totient φ(n) | 9984 |
| Square | 624000400 |
| Cube | 15587529992000 |
| Square root | 158.050625 (= 2√6245) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.498 × |
24980 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and eighty |
| Binary (base 2) | 110000110010100 |
| Octal (base 8) | 60624 |
| Hexadecimal (base 16) | 6194 |
| Base 3 | 1021021012 |
| As time | 24980 seconds = 6 h 56 min 20 s |
Is 24980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24980 ÷ 2 = 12490) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24980 ÷ 4 = 6245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24980 ÷ 5 = 4996) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24980 ÷ 10 = 2498) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24980 a prime number?
No. 24980 = × 5 × 1249, so it is divisible by 2.
What are the factors of 24980?
1, 2, 4, 5, 10, 20, 1249, 2498, 4996, 6245, 12490, 24980.
What is 24980 in binary?
110000110010100 (hexadecimal 6194, octal 60624).
What is the square root of 24980?
About 158.0506, exactly 2√6245.
Is 24980 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 24980?
It is a composite number with 12 divisors.