The number 59023
59023 is a twin prime (59021 and 59023 are both prime) and the 5967th prime number. Its only divisors are 1 and 59023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59023: a twin prime (59021 and 59023 are both prime); the 5967th prime number.
- 2
59023 is prime, so its only factors are 1 and 59023. It is the 5967th prime; the next prime is 59029 and the one before is 59021.
- 3
The divisors add up to 59024; without 59023 itself that is 1, so 59023 is deficient (1 is less than 59023). Euler's totient φ(59023) = 59022 numbers up to 59023 share no factor with it.
- 4
The digits of 59023 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 104 steps to reach 1.
59023 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59024 |
| Euler totient φ(n) | 59022 |
| Square | 3483714529 |
| Cube | 205619282645167 |
| Square root | 242.946496 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.9023 × |
59023 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and twenty-three |
| Binary (base 2) | 1110011010001111 |
| Octal (base 8) | 163217 |
| Hexadecimal (base 16) | E68F |
| Base 3 | 2222222001 |
| As time | 59023 seconds = 16 h 23 min 43 s |
Is 59023 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 3) | 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 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 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 3) | 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 59023 a prime number?
Yes. 59023 is divisible only by 1 and itself.
What are the factors of 59023?
1, 59023.
What is 59023 in binary?
1110011010001111 (hexadecimal E68F, octal 163217).
What is the square root of 59023?
About 242.9465.
Is 59023 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 59023?
59023 is a twin prime (59021 and 59023 are both prime); the 5967th prime number.