The number 33313
33313 is a composite number with 4 divisors. Its prime factorisation is 7 × 4759. Divisors (4): 1, 7, 4759, 33313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33313: a semiprime: 7 × 4759, the product of two primes.
- 2
33313 is composite. Its prime factorisation is
- 3
The divisors add up to 38080; without 33313 itself that is 4767, so 33313 is deficient (4767 is less than 33313). Euler's totient φ(33313) = 28548 numbers up to 33313 share no factor with it.
- 4
The digits of 33313 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33313 = 7 \times 4759 \]
33313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 38080 |
| Euler totient φ(n) | 28548 |
| Square | 1109755969 |
| Cube | 36969300595297 |
| Square root | 182.518492 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3313 × |
33313 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and thirteen |
| Binary (base 2) | 1000001000100001 |
| Octal (base 8) | 101041 |
| Hexadecimal (base 16) | 8221 |
| Base 3 | 1200200211 |
| As time | 33313 seconds = 9 h 15 min 13 s |
Is 33313 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 | Yes (33313 ÷ 7 = 4759) | 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 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 5) | 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 33313 a prime number?
No. 33313 = 7 × 4759, so it is divisible by 7.
What are the factors of 33313?
1, 7, 4759, 33313.
What is 33313 in binary?
1000001000100001 (hexadecimal 8221, octal 101041).
What is the square root of 33313?
About 182.5185.
Is 33313 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33313?
33313 is a semiprime: 7 × 4759, the product of two primes.