The number 13333
13333 is a composite number with 4 divisors. Its prime factorisation is 67 × 199. Divisors (4): 1, 67, 199, 13333.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13333: a semiprime: 67 × 199, the product of two primes.
- 2
13333 is composite. Its prime factorisation is
- 3
The divisors add up to 13600; without 13333 itself that is 267, so 13333 is deficient (267 is less than 13333). Euler's totient φ(13333) = 13068 numbers up to 13333 share no factor with it.
- 4
The digits of 13333 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13333 = 67 \times 199 \]
13333 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13600 |
| Euler totient φ(n) | 13068 |
| Square | 177768889 |
| Cube | 2370192597037 |
| Square root | 115.468610 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3333 × |
13333 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and thirty-three |
| Binary (base 2) | 11010000010101 |
| Octal (base 8) | 32025 |
| Hexadecimal (base 16) | 3415 |
| Base 3 | 200021211 |
| As time | 13333 seconds = 3 h 42 min 13 s |
Is 13333 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | 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 13333 a prime number?
No. 13333 = 67 × 199, so it is divisible by 67.
What are the factors of 13333?
1, 67, 199, 13333.
What is 13333 in binary?
11010000010101 (hexadecimal 3415, octal 32025).
What is the square root of 13333?
About 115.4686.
Is 13333 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13333?
13333 is a semiprime: 67 × 199, the product of two primes.