The number 38677
38677 is the 4075th prime number. Its only divisors are 1 and 38677.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38677: the 4075th prime number.
- 2
38677 is prime, so its only factors are 1 and 38677. It is the 4075th prime; the next prime is 38693 and the one before is 38671.
- 3
The divisors add up to 38678; without 38677 itself that is 1, so 38677 is deficient (1 is less than 38677). Euler's totient φ(38677) = 38676 numbers up to 38677 share no factor with it.
- 4
The digits of 38677 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
38677 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38678 |
| Euler totient φ(n) | 38676 |
| Square | 1495910329 |
| Cube | 57857323794733 |
| Square root | 196.664689 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.8677 × |
38677 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and seventy-seven |
| Binary (base 2) | 1001011100010101 |
| Octal (base 8) | 113425 |
| Hexadecimal (base 16) | 9715 |
| Base 3 | 1222001111 |
| As time | 38677 seconds = 10 h 44 min 37 s |
Is 38677 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38677 a prime number?
Yes. 38677 is divisible only by 1 and itself.
What are the factors of 38677?
1, 38677.
What is 38677 in binary?
1001011100010101 (hexadecimal 9715, octal 113425).
What is the square root of 38677?
About 196.6647.
Is 38677 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 38677?
38677 is the 4075th prime number.