The number 13093
13093 is the 1557th prime number. Its only divisors are 1 and 13093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13093: the 1557th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13093 is prime, so its only factors are 1 and 13093. It is the 1557th prime; the next prime is 13099 and the one before is 13063.
- 3
The divisors add up to 13094; without 13093 itself that is 1, so 13093 is deficient (1 is less than 13093). Euler's totient φ(13093) = 13092 numbers up to 13093 share no factor with it.
- 4
The digits of 13093 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
13093 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13094 |
| Euler totient φ(n) | 13092 |
| Square | 171426649 |
| Cube | 2244489115357 |
| Square root | 114.424648 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3093 × |
13093 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and ninety-three |
| Binary (base 2) | 11001100100101 |
| Octal (base 8) | 31445 |
| Hexadecimal (base 16) | 3325 |
| Base 3 | 122221221 |
| As time | 13093 seconds = 3 h 38 min 13 s |
Is 13093 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 3) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 13093 a prime number?
Yes. 13093 is divisible only by 1 and itself.
What are the factors of 13093?
1, 13093.
What is 13093 in binary?
11001100100101 (hexadecimal 3325, octal 31445).
What is the square root of 13093?
About 114.4246.
Is 13093 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13093?
13093 is the 1557th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.