The number 13303
13303 is a composite number with 4 divisors. Its prime factorisation is 53 × 251. Divisors (4): 1, 53, 251, 13303.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13303: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 251, the product of two primes.
- 2
13303 is composite. Its prime factorisation is
- 3
The divisors add up to 13608; without 13303 itself that is 305, so 13303 is deficient (305 is less than 13303). Euler's totient φ(13303) = 13000 numbers up to 13303 share no factor with it.
- 4
The digits of 13303 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13303 = 53 \times 251 \]
13303 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13608 |
| Euler totient φ(n) | 13000 |
| Square | 176969809 |
| Cube | 2354229369127 |
| Square root | 115.338632 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3303 × |
13303 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and three |
| Binary (base 2) | 11001111110111 |
| Octal (base 8) | 31767 |
| Hexadecimal (base 16) | 33F7 |
| Base 3 | 200020201 |
| As time | 13303 seconds = 3 h 41 min 43 s |
Is 13303 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 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 7) | 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 4) | 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 13303 a prime number?
No. 13303 = 53 × 251, so it is divisible by 53.
What are the factors of 13303?
1, 53, 251, 13303.
What is 13303 in binary?
11001111110111 (hexadecimal 33F7, octal 31767).
What is the square root of 13303?
About 115.3386.
Is 13303 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13303?
13303 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 251, the product of two primes.