The number 56009
56009 is the 5685th prime number. Its only divisors are 1 and 56009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56009: the 5685th prime number.
- 2
56009 is prime, so its only factors are 1 and 56009. It is the 5685th prime; the next prime is 56039 and the one before is 56003.
- 3
The divisors add up to 56010; without 56009 itself that is 1, so 56009 is deficient (1 is less than 56009). Euler's totient φ(56009) = 56008 numbers up to 56009 share no factor with it.
- 4
The digits of 56009 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
56009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 56010 |
| Euler totient φ(n) | 56008 |
| Square | 3137008081 |
| Cube | 175700685608729 |
| Square root | 236.662207 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.6009 × |
56009 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand and nine |
| Binary (base 2) | 1101101011001001 |
| Octal (base 8) | 155311 |
| Hexadecimal (base 16) | DAC9 |
| Base 3 | 2211211102 |
| As time | 56009 seconds = 15 h 33 min 29 s |
Is 56009 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 2) | 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 2) | 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 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 56009 a prime number?
Yes. 56009 is divisible only by 1 and itself.
What are the factors of 56009?
1, 56009.
What is 56009 in binary?
1101101011001001 (hexadecimal DAC9, octal 155311).
What is the square root of 56009?
About 236.6622.
Is 56009 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 56009?
56009 is the 5685th prime number.