The number 59443
59443 is a twin prime (59441 and 59443 are both prime) and the 6010th prime number. Its only divisors are 1 and 59443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59443: a twin prime (59441 and 59443 are both prime); the 6010th prime number.
- 2
59443 is prime, so its only factors are 1 and 59443. It is the 6010th prime; the next prime is 59447 and the one before is 59441.
- 3
The divisors add up to 59444; without 59443 itself that is 1, so 59443 is deficient (1 is less than 59443). Euler's totient φ(59443) = 59442 numbers up to 59443 share no factor with it.
- 4
The digits of 59443 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
59443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59444 |
| Euler totient φ(n) | 59442 |
| Square | 3533470249 |
| Cube | 210040072011307 |
| Square root | 243.809352 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 148 |
| Scientific notation | 5.9443 × |
59443 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and forty-three |
| Binary (base 2) | 1110100000110011 |
| Octal (base 8) | 164063 |
| Hexadecimal (base 16) | E833 |
| Base 3 | 10000112121 |
| As time | 59443 seconds = 16 h 30 min 43 s |
Is 59443 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | 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 59443 a prime number?
Yes. 59443 is divisible only by 1 and itself.
What are the factors of 59443?
1, 59443.
What is 59443 in binary?
1110100000110011 (hexadecimal E833, octal 164063).
What is the square root of 59443?
About 243.8094.
Is 59443 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 59443?
59443 is a twin prime (59441 and 59443 are both prime); the 6010th prime number.