The number 5189
5189 is the 691st prime number and a binary palindrome (1010001000101). Its only divisors are 1 and 5189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5189: the 691st prime number; a binary palindrome (1010001000101).
- 2
5189 is prime, so its only factors are 1 and 5189. It is the 691st prime; the next prime is 5197 and the one before is 5179.
- 3
The divisors add up to 5190; without 5189 itself that is 1, so 5189 is deficient (1 is less than 5189). Euler's totient φ(5189) = 5188 numbers up to 5189 share no factor with it.
- 4
The digits of 5189 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 103 steps to reach 1.
5189 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5190 |
| Euler totient φ(n) | 5188 |
| Square | 26925721 |
| Cube | 139717566269 |
| Square root | 72.034714 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 103 |
| Scientific notation | 5.189 × |
5189 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and eighty-nine |
| Binary (base 2) | 1010001000101 |
| Octal (base 8) | 12105 |
| Hexadecimal (base 16) | 1445 |
| Base 3 | 21010012 |
| As time | 5189 seconds = 1 h 26 min 29 s |
Is 5189 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 5) | 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 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 5189 a prime number?
Yes. 5189 is divisible only by 1 and itself.
What are the factors of 5189?
1, 5189.
What is 5189 in binary?
1010001000101 (hexadecimal 1445, octal 12105).
What is the square root of 5189?
About 72.0347.
Is 5189 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 5189?
5189 is the 691st prime number; a binary palindrome (1010001000101).