The number 33950
33950 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 97. Divisors (24): 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 97, 175, 194, 350, 485, 679 … 33950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33950 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33950 is composite. Its prime factorisation is
- 3
The divisors add up to 72912; without 33950 itself that is 38962, so 33950 is abundant (38962 is more than 33950). Euler's totient φ(33950) = 11520 numbers up to 33950 share no factor with it.
- 4
The digits of 33950 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33950 = 2 \times 5^{2} \times 7 \times 97 \]33950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 72912 |
| Euler totient φ(n) | 11520 |
| Square | 1152602500 |
| Cube | 39130854875000 |
| Square root | 184.255258 (= 5√1358) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.395 × |
33950 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and fifty |
| Binary (base 2) | 1000010010011110 |
| Octal (base 8) | 102236 |
| Hexadecimal (base 16) | 849E |
| Base 3 | 1201120102 |
| As time | 33950 seconds = 9 h 25 min 50 s |
Is 33950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33950 ÷ 2 = 16975) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33950 ÷ 5 = 6790) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33950 ÷ 7 = 4850) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33950 ÷ 10 = 3395) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33950 a prime number?
No. 33950 = 2 × × 7 × 97, so it is divisible by 2.
What are the factors of 33950?
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 97, 175, 194, 350, 485, 679, 970, 1358, 2425, 3395, 4850, 6790, 16975, 33950.
What is 33950 in binary?
1000010010011110 (hexadecimal 849E, octal 102236).
What is the square root of 33950?
About 184.2553, exactly 5√1358.
Is 33950 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33950?
It is a composite number with 24 divisors.