The number 24520
24520 is a composite number with 16 divisors. Its prime factorisation is × 5 × 613. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 613, 1226, 2452, 3065, 4904, 6130, 12260, 24520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24520: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24520 is composite. Its prime factorisation is
- 3
The divisors add up to 55260; without 24520 itself that is 30740, so 24520 is abundant (30740 is more than 24520). Euler's totient φ(24520) = 9792 numbers up to 24520 share no factor with it.
- 4
The digits of 24520 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24520 = 2^{3} \times 5 \times 613 \]24520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 55260 |
| Euler totient φ(n) | 9792 |
| Square | 601230400 |
| Cube | 14742169408000 |
| Square root | 156.588633 (= 2√6130) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.452 × |
24520 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand five hundred and twenty |
| Binary (base 2) | 101111111001000 |
| Octal (base 8) | 57710 |
| Hexadecimal (base 16) | 5FC8 |
| Base 3 | 1020122011 |
| As time | 24520 seconds = 6 h 48 min 40 s |
Is 24520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24520 ÷ 2 = 12260) | 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 (24520 ÷ 4 = 6130) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24520 ÷ 5 = 4904) | 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 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 | Yes (24520 ÷ 8 = 3065) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24520 ÷ 10 = 2452) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 24520 a prime number?
No. 24520 = × 5 × 613, so it is divisible by 2.
What are the factors of 24520?
1, 2, 4, 5, 8, 10, 20, 40, 613, 1226, 2452, 3065, 4904, 6130, 12260, 24520.
What is 24520 in binary?
101111111001000 (hexadecimal 5FC8, octal 57710).
What is the square root of 24520?
About 156.5886, exactly 2√6130.
Is 24520 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 24520?
24520 is a happy number: repeatedly adding the squares of its digits reaches 1.