The number 24764
24764 is a composite number with 12 divisors. Its prime factorisation is × 41 × 151. Divisors (12): 1, 2, 4, 41, 82, 151, 164, 302, 604, 6191, 12382, 24764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24764 is composite. Its prime factorisation is
- 3
The divisors add up to 44688; without 24764 itself that is 19924, so 24764 is deficient (19924 is less than 24764). Euler's totient φ(24764) = 12000 numbers up to 24764 share no factor with it.
- 4
The digits of 24764 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 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24764 = 2^{2} \times 41 \times 151 \]24764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 44688 |
| Euler totient φ(n) | 12000 |
| Square | 613255696 |
| Cube | 15186664055744 |
| Square root | 157.365816 (= 2√6191) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 170 |
| Scientific notation | 2.4764 × |
24764 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and sixty-four |
| Binary (base 2) | 110000010111100 |
| Octal (base 8) | 60274 |
| Hexadecimal (base 16) | 60BC |
| Base 3 | 1020222012 |
| As time | 24764 seconds = 6 h 52 min 44 s |
Is 24764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24764 ÷ 2 = 12382) | 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 (24764 ÷ 4 = 6191) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 24764 a prime number?
No. 24764 = × 41 × 151, so it is divisible by 2.
What are the factors of 24764?
1, 2, 4, 41, 82, 151, 164, 302, 604, 6191, 12382, 24764.
What is 24764 in binary?
110000010111100 (hexadecimal 60BC, octal 60274).
What is the square root of 24764?
About 157.3658, exactly 2√6191.
Is 24764 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 24764?
It is a composite number with 12 divisors.