The number 38977
38977 is the 4106th prime number. Its only divisors are 1 and 38977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38977: the 4106th prime number.
- 2
38977 is prime, so its only factors are 1 and 38977. It is the 4106th prime; the next prime is 38993 and the one before is 38971.
- 3
The divisors add up to 38978; without 38977 itself that is 1, so 38977 is deficient (1 is less than 38977). Euler's totient φ(38977) = 38976 numbers up to 38977 share no factor with it.
- 4
The digits of 38977 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
38977 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38978 |
| Euler totient φ(n) | 38976 |
| Square | 1519206529 |
| Cube | 59214112880833 |
| Square root | 197.425935 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8977 × |
38977 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and seventy-seven |
| Binary (base 2) | 1001100001000001 |
| Octal (base 8) | 114101 |
| Hexadecimal (base 16) | 9841 |
| Base 3 | 1222110121 |
| As time | 38977 seconds = 10 h 49 min 37 s |
Is 38977 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 1) | 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 7) | 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 4) | 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 38977 a prime number?
Yes. 38977 is divisible only by 1 and itself.
What are the factors of 38977?
1, 38977.
What is 38977 in binary?
1001100001000001 (hexadecimal 9841, octal 114101).
What is the square root of 38977?
About 197.4259.
Is 38977 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 38977?
38977 is the 4106th prime number.