The number 59809
59809 is the 6046th prime number. Its only divisors are 1 and 59809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59809: the 6046th prime number.
- 2
59809 is prime, so its only factors are 1 and 59809. It is the 6046th prime; the next prime is 59833 and the one before is 59797.
- 3
The divisors add up to 59810; without 59809 itself that is 1, so 59809 is deficient (1 is less than 59809). Euler's totient φ(59809) = 59808 numbers up to 59809 share no factor with it.
- 4
The digits of 59809 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
59809 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59810 |
| Euler totient φ(n) | 59808 |
| Square | 3577116481 |
| Cube | 213943759612129 |
| Square root | 244.558786 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9809 × |
59809 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand eight hundred and nine |
| Binary (base 2) | 1110100110100001 |
| Octal (base 8) | 164641 |
| Hexadecimal (base 16) | E9A1 |
| Base 3 | 10001001011 |
| As time | 59809 seconds = 16 h 36 min 49 s |
Is 59809 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59809 a prime number?
Yes. 59809 is divisible only by 1 and itself.
What are the factors of 59809?
1, 59809.
What is 59809 in binary?
1110100110100001 (hexadecimal E9A1, octal 164641).
What is the square root of 59809?
About 244.5588.
Is 59809 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 59809?
59809 is the 6046th prime number.