The number 24772
24772 is a composite number with 12 divisors. Its prime factorisation is × 11 × 563. Divisors (12): 1, 2, 4, 11, 22, 44, 563, 1126, 2252, 6193, 12386, 24772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24772: a Harshad number: divisible by its digit sum 22.
- 2
24772 is composite. Its prime factorisation is
- 3
The divisors add up to 47376; without 24772 itself that is 22604, so 24772 is deficient (22604 is less than 24772). Euler's totient φ(24772) = 11240 numbers up to 24772 share no factor with it.
- 4
The digits of 24772 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 188 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24772 = 2^{2} \times 11 \times 563 \]24772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 47376 |
| Euler totient φ(n) | 11240 |
| Square | 613651984 |
| Cube | 15201386947648 |
| Square root | 157.391232 (= 2√6193) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.4772 × |
24772 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and seventy-two |
| Binary (base 2) | 110000011000100 |
| Octal (base 8) | 60304 |
| Hexadecimal (base 16) | 60C4 |
| Base 3 | 1020222111 |
| As time | 24772 seconds = 6 h 52 min 52 s |
Is 24772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24772 ÷ 2 = 12386) | 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 (24772 ÷ 4 = 6193) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 4) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24772 ÷ 11 = 2252) | 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 24772 a prime number?
No. 24772 = × 11 × 563, so it is divisible by 2.
What are the factors of 24772?
1, 2, 4, 11, 22, 44, 563, 1126, 2252, 6193, 12386, 24772.
What is 24772 in binary?
110000011000100 (hexadecimal 60C4, octal 60304).
What is the square root of 24772?
About 157.3912, exactly 2√6193.
Is 24772 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 24772?
24772 is a Harshad number: divisible by its digit sum 22.