The number 59561
59561 is the 6021st prime number. Its only divisors are 1 and 59561.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59561: the 6021st prime number.
- 2
59561 is prime, so its only factors are 1 and 59561. It is the 6021st prime; the next prime is 59567 and the one before is 59557.
- 3
The divisors add up to 59562; without 59561 itself that is 1, so 59561 is deficient (1 is less than 59561). Euler's totient φ(59561) = 59560 numbers up to 59561 share no factor with it.
- 4
The digits of 59561 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 272 steps to reach 1.
59561 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59562 |
| Euler totient φ(n) | 59560 |
| Square | 3547512721 |
| Cube | 211293405175481 |
| Square root | 244.051224 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 272 |
| Scientific notation | 5.9561 × |
59561 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand five hundred and sixty-one |
| Binary (base 2) | 1110100010101001 |
| Octal (base 8) | 164251 |
| Hexadecimal (base 16) | E8A9 |
| Base 3 | 10000200222 |
| As time | 59561 seconds = 16 h 32 min 41 s |
Is 59561 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 59561 a prime number?
Yes. 59561 is divisible only by 1 and itself.
What are the factors of 59561?
1, 59561.
What is 59561 in binary?
1110100010101001 (hexadecimal E8A9, octal 164251).
What is the square root of 59561?
About 244.0512.
Is 59561 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 59561?
59561 is the 6021st prime number.