The number 13343
13343 is a composite number with 4 divisors. Its prime factorisation is 11 × 1213. Divisors (4): 1, 11, 1213, 13343.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13343: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 1213, the product of two primes.
- 2
13343 is composite. Its prime factorisation is
- 3
The divisors add up to 14568; without 13343 itself that is 1225, so 13343 is deficient (1225 is less than 13343). Euler's totient φ(13343) = 12120 numbers up to 13343 share no factor with it.
- 4
The digits of 13343 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13343 = 11 \times 1213 \]
13343 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14568 |
| Euler totient φ(n) | 12120 |
| Square | 178035649 |
| Cube | 2375529664607 |
| Square root | 115.511904 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.3343 × |
13343 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and forty-three |
| Binary (base 2) | 11010000011111 |
| Octal (base 8) | 32037 |
| Hexadecimal (base 16) | 341F |
| Base 3 | 200022012 |
| As time | 13343 seconds = 3 h 42 min 23 s |
Is 13343 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | 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 | Yes (13343 ÷ 11 = 1213) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13343 a prime number?
No. 13343 = 11 × 1213, so it is divisible by 11.
What are the factors of 13343?
1, 11, 1213, 13343.
What is 13343 in binary?
11010000011111 (hexadecimal 341F, octal 32037).
What is the square root of 13343?
About 115.5119.
Is 13343 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13343?
13343 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 1213, the product of two primes.