The number 5167
5167 is the 688th prime number. Its only divisors are 1 and 5167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5167: the 688th prime number.
- 2
5167 is prime, so its only factors are 1 and 5167. It is the 688th prime; the next prime is 5171 and the one before is 5153.
- 3
The divisors add up to 5168; without 5167 itself that is 1, so 5167 is deficient (1 is less than 5167). Euler's totient φ(5167) = 5166 numbers up to 5167 share no factor with it.
- 4
The digits of 5167 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
5167 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5168 |
| Euler totient φ(n) | 5166 |
| Square | 26697889 |
| Cube | 137947992463 |
| Square root | 71.881847 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 178 |
| Scientific notation | 5.167 × |
5167 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and sixty-seven |
| Binary (base 2) | 1010000101111 |
| Octal (base 8) | 12057 |
| Hexadecimal (base 16) | 142F |
| Base 3 | 21002101 |
| As time | 5167 seconds = 1 h 26 min 7 s |
Is 5167 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 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 7) | 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 8) | 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 5167 a prime number?
Yes. 5167 is divisible only by 1 and itself.
What are the factors of 5167?
1, 5167.
What is 5167 in binary?
1010000101111 (hexadecimal 142F, octal 12057).
What is the square root of 5167?
About 71.8818.
Is 5167 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5167?
5167 is the 688th prime number.