The number 59273
59273 is the 5994th prime number. Its only divisors are 1 and 59273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59273: the 5994th prime number.
- 2
59273 is prime, so its only factors are 1 and 59273. It is the 5994th prime; the next prime is 59281 and the one before is 59263.
- 3
The divisors add up to 59274; without 59273 itself that is 1, so 59273 is deficient (1 is less than 59273). Euler's totient φ(59273) = 59272 numbers up to 59273 share no factor with it.
- 4
The digits of 59273 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 96 steps to reach 1.
59273 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59274 |
| Euler totient φ(n) | 59272 |
| Square | 3513288529 |
| Cube | 208243150979417 |
| Square root | 243.460469 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.9273 × |
59273 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and seventy-three |
| Binary (base 2) | 1110011110001001 |
| Octal (base 8) | 163611 |
| Hexadecimal (base 16) | E789 |
| Base 3 | 10000022022 |
| As time | 59273 seconds = 16 h 27 min 53 s |
Is 59273 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 3) | 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 4) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 59273 a prime number?
Yes. 59273 is divisible only by 1 and itself.
What are the factors of 59273?
1, 59273.
What is 59273 in binary?
1110011110001001 (hexadecimal E789, octal 163611).
What is the square root of 59273?
About 243.4605.
Is 59273 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 59273?
59273 is the 5994th prime number.