The number 59441
59441 is a twin prime (59441 and 59443 are both prime) and the 6009th prime number. Its only divisors are 1 and 59441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59441: a twin prime (59441 and 59443 are both prime); the 6009th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59441 is prime, so its only factors are 1 and 59441. It is the 6009th prime; the next prime is 59443 and the one before is 59419.
- 3
The divisors add up to 59442; without 59441 itself that is 1, so 59441 is deficient (1 is less than 59441). Euler's totient φ(59441) = 59440 numbers up to 59441 share no factor with it.
- 4
The digits of 59441 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 148 steps to reach 1.
59441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59442 |
| Euler totient φ(n) | 59440 |
| Square | 3533232481 |
| Cube | 210018871903121 |
| Square root | 243.805250 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 148 |
| Scientific notation | 5.9441 × |
59441 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and forty-one |
| Binary (base 2) | 1110100000110001 |
| Octal (base 8) | 164061 |
| Hexadecimal (base 16) | E831 |
| Base 3 | 10000112112 |
| As time | 59441 seconds = 16 h 30 min 41 s |
Is 59441 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 1) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59441 a prime number?
Yes. 59441 is divisible only by 1 and itself.
What are the factors of 59441?
1, 59441.
What is 59441 in binary?
1110100000110001 (hexadecimal E831, octal 164061).
What is the square root of 59441?
About 243.8053.
Is 59441 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 59441?
59441 is a twin prime (59441 and 59443 are both prime); the 6009th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.