The number 33395
33395 is a composite number with 4 divisors. Its prime factorisation is 5 × 6679. Divisors (4): 1, 5, 6679, 33395.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33395: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 6679, the product of two primes.
- 2
33395 is composite. Its prime factorisation is
- 3
The divisors add up to 40080; without 33395 itself that is 6685, so 33395 is deficient (6685 is less than 33395). Euler's totient φ(33395) = 26712 numbers up to 33395 share no factor with it.
- 4
The digits of 33395 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33395 = 5 \times 6679 \]
33395 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 40080 |
| Euler totient φ(n) | 26712 |
| Square | 1115226025 |
| Cube | 37242973104875 |
| Square root | 182.742989 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.3395 × |
33395 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and ninety-five |
| Binary (base 2) | 1000001001110011 |
| Octal (base 8) | 101163 |
| Hexadecimal (base 16) | 8273 |
| Base 3 | 1200210212 |
| As time | 33395 seconds = 9 h 16 min 35 s |
Is 33395 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 | Yes (33395 ÷ 5 = 6679) | 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 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 33395 a prime number?
No. 33395 = 5 × 6679, so it is divisible by 5.
What are the factors of 33395?
1, 5, 6679, 33395.
What is 33395 in binary?
1000001001110011 (hexadecimal 8273, octal 101163).
What is the square root of 33395?
About 182.7430.
Is 33395 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33395?
33395 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 6679, the product of two primes.