The number 24505
24505 is a composite number with 12 divisors. Its prime factorisation is 5 × × 29. Divisors (12): 1, 5, 13, 29, 65, 145, 169, 377, 845, 1885, 4901, 24505.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24505: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24505 is composite. Its prime factorisation is
- 3
The divisors add up to 32940; without 24505 itself that is 8435, so 24505 is deficient (8435 is less than 24505). Euler's totient φ(24505) = 17472 numbers up to 24505 share no factor with it.
- 4
The digits of 24505 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24505 = 5 \times 13^{2} \times 29 \]24505 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 32940 |
| Euler totient φ(n) | 17472 |
| Square | 600495025 |
| Cube | 14715130587625 |
| Square root | 156.540730 (= 13√145) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4505 × |
24505 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand five hundred and five |
| Binary (base 2) | 101111110111001 |
| Octal (base 8) | 57671 |
| Hexadecimal (base 16) | 5FB9 |
| Base 3 | 1020121121 |
| As time | 24505 seconds = 6 h 48 min 25 s |
Is 24505 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24505 ÷ 5 = 4901) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24505 a prime number?
No. 24505 = 5 × × 29, so it is divisible by 5.
What are the factors of 24505?
1, 5, 13, 29, 65, 145, 169, 377, 845, 1885, 4901, 24505.
What is 24505 in binary?
101111110111001 (hexadecimal 5FB9, octal 57671).
What is the square root of 24505?
About 156.5407, exactly 13√145.
Is 24505 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 24505?
24505 is a happy number: repeatedly adding the squares of its digits reaches 1.