The number 38577
38577 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 167. Divisors (16): 1, 3, 7, 11, 21, 33, 77, 167, 231, 501, 1169, 1837, 3507, 5511, 12859, 38577.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38577 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38577 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 38577 itself that is 25935, so 38577 is deficient (25935 is less than 38577). Euler's totient φ(38577) = 19920 numbers up to 38577 share no factor with it.
- 4
The digits of 38577 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38577 = 3 \times 7 \times 11 \times 167 \]
38577 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 19920 |
| Square | 1488184929 |
| Cube | 57409710006033 |
| Square root | 196.410285 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8577 × |
38577 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and seventy-seven |
| Binary (base 2) | 1001011010110001 |
| Octal (base 8) | 113261 |
| Hexadecimal (base 16) | 96B1 |
| Base 3 | 1221220210 |
| As time | 38577 seconds = 10 h 42 min 57 s |
Is 38577 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 (38577 ÷ 3 = 12859) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38577 ÷ 7 = 5511) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38577 ÷ 11 = 3507) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38577 a prime number?
No. 38577 = 3 × 7 × 11 × 167, so it is divisible by 3.
What are the factors of 38577?
1, 3, 7, 11, 21, 33, 77, 167, 231, 501, 1169, 1837, 3507, 5511, 12859, 38577.
What is 38577 in binary?
1001011010110001 (hexadecimal 96B1, octal 113261).
What is the square root of 38577?
About 196.4103.
Is 38577 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38577?
It is a composite number with 16 divisors.