The number 59243
59243 is the 5992nd prime number. Its only divisors are 1 and 59243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59243: the 5992nd prime number.
- 2
59243 is prime, so its only factors are 1 and 59243. It is the 5992nd prime; the next prime is 59263 and the one before is 59239.
- 3
The divisors add up to 59244; without 59243 itself that is 1, so 59243 is deficient (1 is less than 59243). Euler's totient φ(59243) = 59242 numbers up to 59243 share no factor with it.
- 4
The digits of 59243 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
59243 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59244 |
| Euler totient φ(n) | 59242 |
| Square | 3509733049 |
| Cube | 207927115021907 |
| Square root | 243.398850 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.9243 × |
59243 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and forty-three |
| Binary (base 2) | 1110011101101011 |
| Octal (base 8) | 163553 |
| Hexadecimal (base 16) | E76B |
| Base 3 | 10000021012 |
| As time | 59243 seconds = 16 h 27 min 23 s |
Is 59243 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 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 2) | 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 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59243 a prime number?
Yes. 59243 is divisible only by 1 and itself.
What are the factors of 59243?
1, 59243.
What is 59243 in binary?
1110011101101011 (hexadecimal E76B, octal 163553).
What is the square root of 59243?
About 243.3988.
Is 59243 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 59243?
59243 is the 5992nd prime number.