The number 13393
13393 is a composite number with 4 divisors. Its prime factorisation is 59 × 227. Divisors (4): 1, 59, 227, 13393.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13393: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 59 × 227, the product of two primes.
- 2
13393 is composite. Its prime factorisation is
- 3
The divisors add up to 13680; without 13393 itself that is 287, so 13393 is deficient (287 is less than 13393). Euler's totient φ(13393) = 13108 numbers up to 13393 share no factor with it.
- 4
The digits of 13393 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13393 = 59 \times 227 \]
13393 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13680 |
| Euler totient φ(n) | 13108 |
| Square | 179372449 |
| Cube | 2402335209457 |
| Square root | 115.728130 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3393 × |
13393 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and ninety-three |
| Binary (base 2) | 11010001010001 |
| Octal (base 8) | 32121 |
| Hexadecimal (base 16) | 3451 |
| Base 3 | 200101001 |
| As time | 13393 seconds = 3 h 43 min 13 s |
Is 13393 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 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 13393 a prime number?
No. 13393 = 59 × 227, so it is divisible by 59.
What are the factors of 13393?
1, 59, 227, 13393.
What is 13393 in binary?
11010001010001 (hexadecimal 3451, octal 32121).
What is the square root of 13393?
About 115.7281.
Is 13393 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13393?
13393 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 59 × 227, the product of two primes.