The number 38707
38707 is the 4078th prime number. Its only divisors are 1 and 38707.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38707: the 4078th prime number.
- 2
38707 is prime, so its only factors are 1 and 38707. It is the 4078th prime; the next prime is 38711 and the one before is 38699.
- 3
The divisors add up to 38708; without 38707 itself that is 1, so 38707 is deficient (1 is less than 38707). Euler's totient φ(38707) = 38706 numbers up to 38707 share no factor with it.
- 4
The digits of 38707 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
38707 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38708 |
| Euler totient φ(n) | 38706 |
| Square | 1498231849 |
| Cube | 57992060179243 |
| Square root | 196.740946 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8707 × |
38707 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and seven |
| Binary (base 2) | 1001011100110011 |
| Octal (base 8) | 113463 |
| Hexadecimal (base 16) | 9733 |
| Base 3 | 1222002121 |
| As time | 38707 seconds = 10 h 45 min 7 s |
Is 38707 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 3) | 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 4) | 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 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38707 a prime number?
Yes. 38707 is divisible only by 1 and itself.
What are the factors of 38707?
1, 38707.
What is 38707 in binary?
1001011100110011 (hexadecimal 9733, octal 113463).
What is the square root of 38707?
About 196.7409.
Is 38707 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38707?
38707 is the 4078th prime number.