The number 38772
38772 is a composite number with 24 divisors. Its prime factorisation is × × 359. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 359, 718, 1077, 1436 … 38772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38772: a Harshad number: divisible by its digit sum 27.
- 2
38772 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 38772 itself that is 62028, so 38772 is abundant (62028 is more than 38772). Euler's totient φ(38772) = 12888 numbers up to 38772 share no factor with it.
- 4
The digits of 38772 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38772 = 2^{2} \times 3^{3} \times 359 \]38772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 12888 |
| Square | 1503267984 |
| Cube | 58284706275648 |
| Square root | 196.906069 (= 6√1077) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8772 × |
38772 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and seventy-two |
| Binary (base 2) | 1001011101110100 |
| Octal (base 8) | 113564 |
| Hexadecimal (base 16) | 9774 |
| Base 3 | 1222012000 |
| As time | 38772 seconds = 10 h 46 min 12 s |
Is 38772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38772 ÷ 2 = 19386) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38772 ÷ 3 = 12924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38772 ÷ 4 = 9693) | 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 (38772 ÷ 6 = 6462) | 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 | Yes (38772 ÷ 9 = 4308) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38772 ÷ 12 = 3231) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38772 a prime number?
No. 38772 = × × 359, so it is divisible by 2.
What are the factors of 38772?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 359, 718, 1077, 1436, 2154, 3231, 4308, 6462, 9693, 12924, 19386, 38772.
What is 38772 in binary?
1001011101110100 (hexadecimal 9774, octal 113564).
What is the square root of 38772?
About 196.9061, exactly 6√1077.
Is 38772 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38772?
38772 is a Harshad number: divisible by its digit sum 27.