The number 38415
38415 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 197. Divisors (16): 1, 3, 5, 13, 15, 39, 65, 195, 197, 591, 985, 2561, 2955, 7683, 12805, 38415.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38415 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38415 is composite. Its prime factorisation is
- 3
The divisors add up to 66528; without 38415 itself that is 28113, so 38415 is deficient (28113 is less than 38415). Euler's totient φ(38415) = 18816 numbers up to 38415 share no factor with it.
- 4
The digits of 38415 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 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38415 = 3 \times 5 \times 13 \times 197 \]
38415 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 66528 |
| Euler totient φ(n) | 18816 |
| Square | 1475712225 |
| Cube | 56689485123375 |
| Square root | 195.997449 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8415 × |
38415 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and fifteen |
| Binary (base 2) | 1001011000001111 |
| Octal (base 8) | 113017 |
| Hexadecimal (base 16) | 960F |
| Base 3 | 1221200210 |
| As time | 38415 seconds = 10 h 40 min 15 s |
Is 38415 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 | Yes (38415 ÷ 3 = 12805) | 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 (38415 ÷ 5 = 7683) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 7) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38415 a prime number?
No. 38415 = 3 × 5 × 13 × 197, so it is divisible by 3.
What are the factors of 38415?
1, 3, 5, 13, 15, 39, 65, 195, 197, 591, 985, 2561, 2955, 7683, 12805, 38415.
What is 38415 in binary?
1001011000001111 (hexadecimal 960F, octal 113017).
What is the square root of 38415?
About 195.9974.
Is 38415 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38415?
It is a composite number with 16 divisors.