The number 33952
33952 is a composite number with 12 divisors. Its prime factorisation is × 1061. Divisors (12): 1, 2, 4, 8, 16, 32, 1061, 2122, 4244, 8488, 16976, 33952.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33952 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33952 is composite. Its prime factorisation is
- 3
The divisors add up to 66906; without 33952 itself that is 32954, so 33952 is deficient (32954 is less than 33952). Euler's totient φ(33952) = 16960 numbers up to 33952 share no factor with it.
- 4
The digits of 33952 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33952 = 2^{5} \times 1061 \]33952 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66906 |
| Euler totient φ(n) | 16960 |
| Square | 1152738304 |
| Cube | 39137770897408 |
| Square root | 184.260685 (= 4√2122) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3952 × |
33952 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and fifty-two |
| Binary (base 2) | 1000010010100000 |
| Octal (base 8) | 102240 |
| Hexadecimal (base 16) | 84A0 |
| Base 3 | 1201120111 |
| As time | 33952 seconds = 9 h 25 min 52 s |
Is 33952 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33952 ÷ 2 = 16976) | 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 | Yes (33952 ÷ 4 = 8488) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (33952 ÷ 8 = 4244) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33952 a prime number?
No. 33952 = × 1061, so it is divisible by 2.
What are the factors of 33952?
1, 2, 4, 8, 16, 32, 1061, 2122, 4244, 8488, 16976, 33952.
What is 33952 in binary?
1000010010100000 (hexadecimal 84A0, octal 102240).
What is the square root of 33952?
About 184.2607, exactly 4√2122.
Is 33952 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33952?
It is a composite number with 12 divisors.