The number 33964
33964 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1213. Divisors (12): 1, 2, 4, 7, 14, 28, 1213, 2426, 4852, 8491, 16982, 33964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33964 is composite. Its prime factorisation is
- 3
The divisors add up to 67984; without 33964 itself that is 34020, so 33964 is abundant (34020 is more than 33964). Euler's totient φ(33964) = 14544 numbers up to 33964 share no factor with it.
- 4
The digits of 33964 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33964 = 2^{2} \times 7 \times 1213 \]33964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67984 |
| Euler totient φ(n) | 14544 |
| Square | 1153553296 |
| Cube | 39179284145344 |
| Square root | 184.293245 (= 2√8491) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3964 × |
33964 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and sixty-four |
| Binary (base 2) | 1000010010101100 |
| Octal (base 8) | 102254 |
| Hexadecimal (base 16) | 84AC |
| Base 3 | 1201120221 |
| As time | 33964 seconds = 9 h 26 min 4 s |
Is 33964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33964 ÷ 2 = 16982) | 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 (33964 ÷ 4 = 8491) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (33964 ÷ 7 = 4852) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 33964 a prime number?
No. 33964 = × 7 × 1213, so it is divisible by 2.
What are the factors of 33964?
1, 2, 4, 7, 14, 28, 1213, 2426, 4852, 8491, 16982, 33964.
What is 33964 in binary?
1000010010101100 (hexadecimal 84AC, octal 102254).
What is the square root of 33964?
About 184.2932, exactly 2√8491.
Is 33964 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33964?
It is a composite number with 12 divisors.