The number 59009
59009 is a twin prime (59009 and 59011 are both prime) and the 5964th prime number. Its only divisors are 1 and 59009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59009: a twin prime (59009 and 59011 are both prime); the 5964th prime number.
- 2
59009 is prime, so its only factors are 1 and 59009. It is the 5964th prime; the next prime is 59011 and the one before is 58997.
- 3
The divisors add up to 59010; without 59009 itself that is 1, so 59009 is deficient (1 is less than 59009). Euler's totient φ(59009) = 59008 numbers up to 59009 share no factor with it.
- 4
The digits of 59009 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 197 steps to reach 1.
59009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59010 |
| Euler totient φ(n) | 59008 |
| Square | 3482062081 |
| Cube | 205473001337729 |
| Square root | 242.917682 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.9009 × |
59009 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and nine |
| Binary (base 2) | 1110011010000001 |
| Octal (base 8) | 163201 |
| Hexadecimal (base 16) | E681 |
| Base 3 | 2222221112 |
| As time | 59009 seconds = 16 h 23 min 29 s |
Is 59009 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 4) | 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 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 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 59009 a prime number?
Yes. 59009 is divisible only by 1 and itself.
What are the factors of 59009?
1, 59009.
What is 59009 in binary?
1110011010000001 (hexadecimal E681, octal 163201).
What is the square root of 59009?
About 242.9177.
Is 59009 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 59009?
59009 is a twin prime (59009 and 59011 are both prime); the 5964th prime number.