The number 38737
38737 is the 4083rd prime number. Its only divisors are 1 and 38737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38737: the 4083rd prime number.
- 2
38737 is prime, so its only factors are 1 and 38737. It is the 4083rd prime; the next prime is 38747 and the one before is 38729.
- 3
The divisors add up to 38738; without 38737 itself that is 1, so 38737 is deficient (1 is less than 38737). Euler's totient φ(38737) = 38736 numbers up to 38737 share no factor with it.
- 4
The digits of 38737 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
38737 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38738 |
| Euler totient φ(n) | 38736 |
| Square | 1500555169 |
| Cube | 58127005581553 |
| Square root | 196.817174 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8737 × |
38737 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and thirty-seven |
| Binary (base 2) | 1001011101010001 |
| Octal (base 8) | 113521 |
| Hexadecimal (base 16) | 9751 |
| Base 3 | 1222010201 |
| As time | 38737 seconds = 10 h 45 min 37 s |
Is 38737 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 38737 a prime number?
Yes. 38737 is divisible only by 1 and itself.
What are the factors of 38737?
1, 38737.
What is 38737 in binary?
1001011101010001 (hexadecimal 9751, octal 113521).
What is the square root of 38737?
About 196.8172.
Is 38737 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38737?
38737 is the 4083rd prime number.