The number 4931
4931 is a twin prime (4931 and 4933 are both prime) and the 658th prime number. Its only divisors are 1 and 4931.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4931: a twin prime (4931 and 4933 are both prime); the 658th prime number.
- 2
4931 is prime, so its only factors are 1 and 4931. It is the 658th prime; the next prime is 4933 and the one before is 4919.
- 3
The divisors add up to 4932; without 4931 itself that is 1, so 4931 is deficient (1 is less than 4931). Euler's totient φ(4931) = 4930 numbers up to 4931 share no factor with it.
- 4
The digits of 4931 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
4931 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4932 |
| Euler totient φ(n) | 4930 |
| Square | 24314761 |
| Cube | 119896086491 |
| Square root | 70.221079 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 72 |
| Scientific notation | 4.931 × |
4931 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and thirty-one |
| Binary (base 2) | 1001101000011 |
| Octal (base 8) | 11503 |
| Hexadecimal (base 16) | 1343 |
| Base 3 | 20202122 |
| As time | 4931 seconds = 1 h 22 min 11 s |
Is 4931 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4931 a prime number?
Yes. 4931 is divisible only by 1 and itself.
What are the factors of 4931?
1, 4931.
What is 4931 in binary?
1001101000011 (hexadecimal 1343, octal 11503).
What is the square root of 4931?
About 70.2211.
Is 4931 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4931?
4931 is a twin prime (4931 and 4933 are both prime); the 658th prime number.