The number 38352
38352 is a composite number with 40 divisors. Its prime factorisation is × 3 × 17 × 47. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 47, 48, 51, 68, 94 … 38352.
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How to work it out
- 1
38352 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38352 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 38352 itself that is 68784, so 38352 is abundant (68784 is more than 38352). Euler's totient φ(38352) = 11776 numbers up to 38352 share no factor with it.
- 4
The digits of 38352 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38352 = 2^{4} \times 3 \times 17 \times 47 \]38352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 11776 |
| Square | 1470875904 |
| Cube | 56411032670208 |
| Square root | 195.836667 (= 4√2397) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8352 × |
38352 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and fifty-two |
| Binary (base 2) | 1001010111010000 |
| Octal (base 8) | 112720 |
| Hexadecimal (base 16) | 95D0 |
| Base 3 | 1221121110 |
| As time | 38352 seconds = 10 h 39 min 12 s |
Is 38352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38352 ÷ 2 = 19176) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38352 ÷ 3 = 12784) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38352 ÷ 4 = 9588) | 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 (38352 ÷ 6 = 6392) | 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 | Yes (38352 ÷ 8 = 4794) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (38352 ÷ 12 = 3196) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38352 a prime number?
No. 38352 = × 3 × 17 × 47, so it is divisible by 2.
What are the factors of 38352?
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 47, 48, 51, 68, 94, 102, 136, 141, 188, 204, 272, 282, 376, 408, 564, 752, 799, 816, 1128, 1598, 2256, 2397, 3196, 4794, 6392, 9588, 12784, 19176, 38352.
What is 38352 in binary?
1001010111010000 (hexadecimal 95D0, octal 112720).
What is the square root of 38352?
About 195.8367, exactly 4√2397.
Is 38352 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38352?
It is a composite number with 40 divisors.