The number 29772
29772 is a composite number with 18 divisors. Its prime factorisation is × × 827. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 827, 1654, 2481, 3308, 4962, 7443, 9924 … 29772.
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How to work it out
- 1
29772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29772 is composite. Its prime factorisation is
- 3
The divisors add up to 75348; without 29772 itself that is 45576, so 29772 is abundant (45576 is more than 29772). Euler's totient φ(29772) = 9912 numbers up to 29772 share no factor with it.
- 4
The digits of 29772 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29772 = 2^{2} \times 3^{2} \times 827 \]29772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 75348 |
| Euler totient φ(n) | 9912 |
| Square | 886371984 |
| Cube | 26389066707648 |
| Square root | 172.545646 (= 6√827) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9772 × |
29772 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and seventy-two |
| Binary (base 2) | 111010001001100 |
| Octal (base 8) | 72114 |
| Hexadecimal (base 16) | 744C |
| Base 3 | 1111211200 |
| As time | 29772 seconds = 8 h 16 min 12 s |
Is 29772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29772 ÷ 2 = 14886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29772 ÷ 3 = 9924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29772 ÷ 4 = 7443) | 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 | Yes (29772 ÷ 6 = 4962) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (29772 ÷ 9 = 3308) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29772 ÷ 12 = 2481) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29772 a prime number?
No. 29772 = × × 827, so it is divisible by 2.
What are the factors of 29772?
1, 2, 3, 4, 6, 9, 12, 18, 36, 827, 1654, 2481, 3308, 4962, 7443, 9924, 14886, 29772.
What is 29772 in binary?
111010001001100 (hexadecimal 744C, octal 72114).
What is the square root of 29772?
About 172.5456, exactly 6√827.
Is 29772 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29772?
It is a composite number with 18 divisors.