The number 38732
38732 is a composite number with 12 divisors. Its prime factorisation is × 23 × 421. Divisors (12): 1, 2, 4, 23, 46, 92, 421, 842, 1684, 9683, 19366, 38732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38732: a Harshad number: divisible by its digit sum 23.
- 2
38732 is composite. Its prime factorisation is
- 3
The divisors add up to 70896; without 38732 itself that is 32164, so 38732 is deficient (32164 is less than 38732). Euler's totient φ(38732) = 18480 numbers up to 38732 share no factor with it.
- 4
The digits of 38732 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38732 = 2^{2} \times 23 \times 421 \]38732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70896 |
| Euler totient φ(n) | 18480 |
| Square | 1500167824 |
| Cube | 58104500159168 |
| Square root | 196.804471 (= 2√9683) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8732 × |
38732 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and thirty-two |
| Binary (base 2) | 1001011101001100 |
| Octal (base 8) | 113514 |
| Hexadecimal (base 16) | 974C |
| Base 3 | 1222010112 |
| As time | 38732 seconds = 10 h 45 min 32 s |
Is 38732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38732 ÷ 2 = 19366) | 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 (38732 ÷ 4 = 9683) | 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 2) | 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 | No (remainder 5) | 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 1) | 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 38732 a prime number?
No. 38732 = × 23 × 421, so it is divisible by 2.
What are the factors of 38732?
1, 2, 4, 23, 46, 92, 421, 842, 1684, 9683, 19366, 38732.
What is 38732 in binary?
1001011101001100 (hexadecimal 974C, octal 113514).
What is the square root of 38732?
About 196.8045, exactly 2√9683.
Is 38732 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38732?
38732 is a Harshad number: divisible by its digit sum 23.