The number 59209
59209 is a twin prime (59207 and 59209 are both prime) and the 5987th prime number. Its only divisors are 1 and 59209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59209: a twin prime (59207 and 59209 are both prime); the 5987th prime number.
- 2
59209 is prime, so its only factors are 1 and 59209. It is the 5987th prime; the next prime is 59219 and the one before is 59207.
- 3
The divisors add up to 59210; without 59209 itself that is 1, so 59209 is deficient (1 is less than 59209). Euler's totient φ(59209) = 59208 numbers up to 59209 share no factor with it.
- 4
The digits of 59209 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 73 steps to reach 1.
59209 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59210 |
| Euler totient φ(n) | 59208 |
| Square | 3505705681 |
| Cube | 207569327666329 |
| Square root | 243.328995 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9209 × |
59209 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and nine |
| Binary (base 2) | 1110011101001001 |
| Octal (base 8) | 163511 |
| Hexadecimal (base 16) | E749 |
| Base 3 | 10000012221 |
| As time | 59209 seconds = 16 h 26 min 49 s |
Is 59209 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 3) | 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 7) | 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 7) | 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 59209 a prime number?
Yes. 59209 is divisible only by 1 and itself.
What are the factors of 59209?
1, 59209.
What is 59209 in binary?
1110011101001001 (hexadecimal E749, octal 163511).
What is the square root of 59209?
About 243.3290.
Is 59209 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 59209?
59209 is a twin prime (59207 and 59209 are both prime); the 5987th prime number.