The number 13183
13183 is the 1569th prime number. Its only divisors are 1 and 13183.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13183: the 1569th prime number.
- 2
13183 is prime, so its only factors are 1 and 13183. It is the 1569th prime; the next prime is 13187 and the one before is 13177.
- 3
The divisors add up to 13184; without 13183 itself that is 1, so 13183 is deficient (1 is less than 13183). Euler's totient φ(13183) = 13182 numbers up to 13183 share no factor with it.
- 4
The digits of 13183 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 244 steps to reach 1.
13183 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13184 |
| Euler totient φ(n) | 13182 |
| Square | 173791489 |
| Cube | 2291093199487 |
| Square root | 114.817246 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 244 |
| Scientific notation | 1.3183 × |
13183 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and eighty-three |
| Binary (base 2) | 11001101111111 |
| Octal (base 8) | 31577 |
| Hexadecimal (base 16) | 337F |
| Base 3 | 200002021 |
| As time | 13183 seconds = 3 h 39 min 43 s |
Is 13183 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 3) | 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 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 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13183 a prime number?
Yes. 13183 is divisible only by 1 and itself.
What are the factors of 13183?
1, 13183.
What is 13183 in binary?
11001101111111 (hexadecimal 337F, octal 31577).
What is the square root of 13183?
About 114.8172.
Is 13183 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13183?
13183 is the 1569th prime number.