The number 38332
38332 is a composite number with 18 divisors. Its prime factorisation is × 7 × . Divisors (18): 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036, 1369, 2738, 5476, 9583 … 38332.
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How to work it out
- 1
38332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38332 is composite. Its prime factorisation is
- 3
The divisors add up to 78792; without 38332 itself that is 40460, so 38332 is abundant (40460 is more than 38332). Euler's totient φ(38332) = 15984 numbers up to 38332 share no factor with it.
- 4
The digits of 38332 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38332 = 2^{2} \times 7 \times 37^{2} \]38332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 78792 |
| Euler totient φ(n) | 15984 |
| Square | 1469342224 |
| Cube | 56322826130368 |
| Square root | 195.785597 (= 74√7) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8332 × |
38332 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and thirty-two |
| Binary (base 2) | 1001010110111100 |
| Octal (base 8) | 112674 |
| Hexadecimal (base 16) | 95BC |
| Base 3 | 1221120201 |
| As time | 38332 seconds = 10 h 38 min 52 s |
Is 38332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38332 ÷ 2 = 19166) | 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 (38332 ÷ 4 = 9583) | 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 | Yes (38332 ÷ 7 = 5476) | 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 1) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38332 a prime number?
No. 38332 = × 7 × , so it is divisible by 2.
What are the factors of 38332?
1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036, 1369, 2738, 5476, 9583, 19166, 38332.
What is 38332 in binary?
1001010110111100 (hexadecimal 95BC, octal 112674).
What is the square root of 38332?
About 195.7856, exactly 74√7.
Is 38332 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38332?
It is a composite number with 18 divisors.