The number 38675
38675 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 17. Divisors (24): 1, 5, 7, 13, 17, 25, 35, 65, 85, 91, 119, 175, 221, 325, 425, 455 … 38675.
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How to work it out
- 1
38675 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38675 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 38675 itself that is 23821, so 38675 is deficient (23821 is less than 38675). Euler's totient φ(38675) = 23040 numbers up to 38675 share no factor with it.
- 4
The digits of 38675 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38675 = 5^{2} \times 7 \times 13 \times 17 \]38675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 23040 |
| Square | 1495755625 |
| Cube | 57848348796875 |
| Square root | 196.659604 (= 5√1547) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8675 × |
38675 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and seventy-five |
| Binary (base 2) | 1001011100010011 |
| Octal (base 8) | 113423 |
| Hexadecimal (base 16) | 9713 |
| Base 3 | 1222001102 |
| As time | 38675 seconds = 10 h 44 min 35 s |
Is 38675 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38675 ÷ 5 = 7735) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38675 ÷ 7 = 5525) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38675 a prime number?
No. 38675 = × 7 × 13 × 17, so it is divisible by 5.
What are the factors of 38675?
1, 5, 7, 13, 17, 25, 35, 65, 85, 91, 119, 175, 221, 325, 425, 455, 595, 1105, 1547, 2275, 2975, 5525, 7735, 38675.
What is 38675 in binary?
1001011100010011 (hexadecimal 9713, octal 113423).
What is the square root of 38675?
About 196.6596, exactly 5√1547.
Is 38675 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 38675?
It is a composite number with 24 divisors.