The number 33955
33955 is a composite number with 4 divisors. Its prime factorisation is 5 × 6791. Divisors (4): 1, 5, 6791, 33955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33955: a semiprime: 5 × 6791, the product of two primes.
- 2
33955 is composite. Its prime factorisation is
- 3
The divisors add up to 40752; without 33955 itself that is 6797, so 33955 is deficient (6797 is less than 33955). Euler's totient φ(33955) = 27160 numbers up to 33955 share no factor with it.
- 4
The digits of 33955 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33955 = 5 \times 6791 \]
33955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 40752 |
| Euler totient φ(n) | 27160 |
| Square | 1152942025 |
| Cube | 39148146458875 |
| Square root | 184.268825 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3955 × |
33955 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and fifty-five |
| Binary (base 2) | 1000010010100011 |
| Octal (base 8) | 102243 |
| Hexadecimal (base 16) | 84A3 |
| Base 3 | 1201120121 |
| As time | 33955 seconds = 9 h 25 min 55 s |
Is 33955 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 | Yes (33955 ÷ 5 = 6791) | 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 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 5) | 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 33955 a prime number?
No. 33955 = 5 × 6791, so it is divisible by 5.
What are the factors of 33955?
1, 5, 6791, 33955.
What is 33955 in binary?
1000010010100011 (hexadecimal 84A3, octal 102243).
What is the square root of 33955?
About 184.2688.
Is 33955 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33955?
33955 is a semiprime: 5 × 6791, the product of two primes.