The number 24920
24920 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 89. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 89, 140 … 24920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24920 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 24920 itself that is 39880, so 24920 is abundant (39880 is more than 24920). Euler's totient φ(24920) = 8448 numbers up to 24920 share no factor with it.
- 4
The digits of 24920 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24920 = 2^{3} \times 5 \times 7 \times 89 \]24920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 8448 |
| Square | 621006400 |
| Cube | 15475479488000 |
| Square root | 157.860698 (= 2√6230) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.492 × |
24920 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and twenty |
| Binary (base 2) | 110000101011000 |
| Octal (base 8) | 60530 |
| Hexadecimal (base 16) | 6158 |
| Base 3 | 1021011222 |
| As time | 24920 seconds = 6 h 55 min 20 s |
Is 24920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24920 ÷ 2 = 12460) | 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 (24920 ÷ 4 = 6230) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24920 ÷ 5 = 4984) | 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 | Yes (24920 ÷ 7 = 3560) | 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 (24920 ÷ 8 = 3115) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24920 ÷ 10 = 2492) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 24920 a prime number?
No. 24920 = × 5 × 7 × 89, so it is divisible by 2.
What are the factors of 24920?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 89, 140, 178, 280, 356, 445, 623, 712, 890, 1246, 1780, 2492, 3115, 3560, 4984, 6230, 12460, 24920.
What is 24920 in binary?
110000101011000 (hexadecimal 6158, octal 60530).
What is the square root of 24920?
About 157.8607, exactly 2√6230.
Is 24920 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 24920?
It is a composite number with 32 divisors.