The number 59167
59167 is the 5983rd prime number. Its only divisors are 1 and 59167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59167: the 5983rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59167 is prime, so its only factors are 1 and 59167. It is the 5983rd prime; the next prime is 59183 and the one before is 59159.
- 3
The divisors add up to 59168; without 59167 itself that is 1, so 59167 is deficient (1 is less than 59167). Euler's totient φ(59167) = 59166 numbers up to 59167 share no factor with it.
- 4
The digits of 59167 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 60 steps to reach 1.
59167 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59168 |
| Euler totient φ(n) | 59166 |
| Square | 3500733889 |
| Cube | 207127922010463 |
| Square root | 243.242677 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.9167 × |
59167 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and sixty-seven |
| Binary (base 2) | 1110011100011111 |
| Octal (base 8) | 163437 |
| Hexadecimal (base 16) | E71F |
| Base 3 | 10000011101 |
| As time | 59167 seconds = 16 h 26 min 7 s |
Is 59167 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 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 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 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 59167 a prime number?
Yes. 59167 is divisible only by 1 and itself.
What are the factors of 59167?
1, 59167.
What is 59167 in binary?
1110011100011111 (hexadecimal E71F, octal 163437).
What is the square root of 59167?
About 243.2427.
Is 59167 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 59167?
59167 is the 5983rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.