The number 13363
13363 is a composite number with 8 divisors. Its prime factorisation is 7 × 23 × 83. Divisors (8): 1, 7, 23, 83, 161, 581, 1909, 13363.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13363 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13363 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 13363 itself that is 2765, so 13363 is deficient (2765 is less than 13363). Euler's totient φ(13363) = 10824 numbers up to 13363 share no factor with it.
- 4
The digits of 13363 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13363 = 7 \times 23 \times 83 \]
13363 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 10824 |
| Square | 178569769 |
| Cube | 2386227823147 |
| Square root | 115.598443 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3363 × |
13363 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and sixty-three |
| Binary (base 2) | 11010000110011 |
| Octal (base 8) | 32063 |
| Hexadecimal (base 16) | 3433 |
| Base 3 | 200022221 |
| As time | 13363 seconds = 3 h 42 min 43 s |
Is 13363 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 | Yes (13363 ÷ 7 = 1909) | 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 3) | 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 9) | 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 13363 a prime number?
No. 13363 = 7 × 23 × 83, so it is divisible by 7.
What are the factors of 13363?
1, 7, 23, 83, 161, 581, 1909, 13363.
What is 13363 in binary?
11010000110011 (hexadecimal 3433, octal 32063).
What is the square root of 13363?
About 115.5984.
Is 13363 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13363?
It is a composite number with 8 divisors.