The number 38372
38372 is a composite number with 12 divisors. Its prime factorisation is × 53 × 181. Divisors (12): 1, 2, 4, 53, 106, 181, 212, 362, 724, 9593, 19186, 38372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38372 is composite. Its prime factorisation is
- 3
The divisors add up to 68796; without 38372 itself that is 30424, so 38372 is deficient (30424 is less than 38372). Euler's totient φ(38372) = 18720 numbers up to 38372 share no factor with it.
- 4
The digits of 38372 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38372 = 2^{2} \times 53 \times 181 \]38372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68796 |
| Euler totient φ(n) | 18720 |
| Square | 1472410384 |
| Cube | 56499331254848 |
| Square root | 195.887723 (= 2√9593) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8372 × |
38372 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and seventy-two |
| Binary (base 2) | 1001010111100100 |
| Octal (base 8) | 112744 |
| Hexadecimal (base 16) | 95E4 |
| Base 3 | 1221122012 |
| As time | 38372 seconds = 10 h 39 min 32 s |
Is 38372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38372 ÷ 2 = 19186) | 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 (38372 ÷ 4 = 9593) | 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 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 38372 a prime number?
No. 38372 = × 53 × 181, so it is divisible by 2.
What are the factors of 38372?
1, 2, 4, 53, 106, 181, 212, 362, 724, 9593, 19186, 38372.
What is 38372 in binary?
1001010111100100 (hexadecimal 95E4, octal 112744).
What is the square root of 38372?
About 195.8877, exactly 2√9593.
Is 38372 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38372?
It is a composite number with 12 divisors.