The number 7937
7937 is the 1003rd prime number. Its only divisors are 1 and 7937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7937: the 1003rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7937 is prime, so its only factors are 1 and 7937. It is the 1003rd prime; the next prime is 7949 and the one before is 7933.
- 3
The divisors add up to 7938; without 7937 itself that is 1, so 7937 is deficient (1 is less than 7937). Euler's totient φ(7937) = 7936 numbers up to 7937 share no factor with it.
- 4
The digits of 7937 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
7937 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7938 |
| Euler totient φ(n) | 7936 |
| Square | 62995969 |
| Cube | 499999005953 |
| Square root | 89.089842 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.937 × |
7937 in other forms
| Form | Value |
|---|---|
| In words | seven thousand nine hundred and thirty-seven |
| Binary (base 2) | 1111100000001 |
| Octal (base 8) | 17401 |
| Hexadecimal (base 16) | 1F01 |
| Base 3 | 101212222 |
| As time | 7937 seconds = 2 h 12 min 17 s |
Is 7937 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 2) | 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 5) | 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7937 a prime number?
Yes. 7937 is divisible only by 1 and itself.
What are the factors of 7937?
1, 7937.
What is 7937 in binary?
1111100000001 (hexadecimal 1F01, octal 17401).
What is the square root of 7937?
About 89.0898.
Is 7937 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 7937?
7937 is the 1003rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.