The number 5689
5689 is the 749th prime number. Its only divisors are 1 and 5689.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5689: the 749th prime number.
- 2
5689 is prime, so its only factors are 1 and 5689. It is the 749th prime; the next prime is 5693 and the one before is 5683.
- 3
The divisors add up to 5690; without 5689 itself that is 1, so 5689 is deficient (1 is less than 5689). Euler's totient φ(5689) = 5688 numbers up to 5689 share no factor with it.
- 4
The digits of 5689 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
5689 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5690 |
| Euler totient φ(n) | 5688 |
| Square | 32364721 |
| Cube | 184122897769 |
| Square root | 75.425460 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.689 × |
5689 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and eighty-nine |
| Binary (base 2) | 1011000111001 |
| Octal (base 8) | 13071 |
| Hexadecimal (base 16) | 1639 |
| Base 3 | 21210201 |
| As time | 5689 seconds = 1 h 34 min 49 s |
Is 5689 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 5689 a prime number?
Yes. 5689 is divisible only by 1 and itself.
What are the factors of 5689?
1, 5689.
What is 5689 in binary?
1011000111001 (hexadecimal 1639, octal 13071).
What is the square root of 5689?
About 75.4255.
Is 5689 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 5689?
5689 is the 749th prime number.