The number 56509
56509 is the 5731st prime number. Its only divisors are 1 and 56509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56509: the 5731st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
56509 is prime, so its only factors are 1 and 56509. It is the 5731st prime; the next prime is 56519 and the one before is 56503.
- 3
The divisors add up to 56510; without 56509 itself that is 1, so 56509 is deficient (1 is less than 56509). Euler's totient φ(56509) = 56508 numbers up to 56509 share no factor with it.
- 4
The digits of 56509 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 60 steps to reach 1.
56509 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 56510 |
| Euler totient φ(n) | 56508 |
| Square | 3193267081 |
| Cube | 180448329480229 |
| Square root | 237.716217 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6509 × |
56509 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand five hundred and nine |
| Binary (base 2) | 1101110010111101 |
| Octal (base 8) | 156275 |
| Hexadecimal (base 16) | DCBD |
| Base 3 | 2212111221 |
| As time | 56509 seconds = 15 h 41 min 49 s |
Is 56509 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 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 5) | 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 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 56509 a prime number?
Yes. 56509 is divisible only by 1 and itself.
What are the factors of 56509?
1, 56509.
What is 56509 in binary?
1101110010111101 (hexadecimal DCBD, octal 156275).
What is the square root of 56509?
About 237.7162.
Is 56509 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 56509?
56509 is the 5731st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.