The number 33960
33960 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 283. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 33960.
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How to work it out
- 1
33960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33960 is composite. Its prime factorisation is
- 3
The divisors add up to 102240; without 33960 itself that is 68280, so 33960 is abundant (68280 is more than 33960). Euler's totient φ(33960) = 9024 numbers up to 33960 share no factor with it.
- 4
The digits of 33960 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33960 = 2^{3} \times 3 \times 5 \times 283 \]33960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 102240 |
| Euler totient φ(n) | 9024 |
| Square | 1153281600 |
| Cube | 39165443136000 |
| Square root | 184.282392 (= 2√8490) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.396 × |
33960 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and sixty |
| Binary (base 2) | 1000010010101000 |
| Octal (base 8) | 102250 |
| Hexadecimal (base 16) | 84A8 |
| Base 3 | 1201120210 |
| As time | 33960 seconds = 9 h 26 min 0 s |
Is 33960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33960 ÷ 2 = 16980) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33960 ÷ 3 = 11320) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33960 ÷ 4 = 8490) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33960 ÷ 5 = 6792) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33960 ÷ 6 = 5660) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (33960 ÷ 8 = 4245) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33960 ÷ 10 = 3396) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33960 ÷ 12 = 2830) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33960 a prime number?
No. 33960 = × 3 × 5 × 283, so it is divisible by 2.
What are the factors of 33960?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 283, 566, 849, 1132, 1415, 1698, 2264, 2830, 3396, 4245, 5660, 6792, 8490, 11320, 16980, 33960.
What is 33960 in binary?
1000010010101000 (hexadecimal 84A8, octal 102250).
What is the square root of 33960?
About 184.2824, exactly 2√8490.
Is 33960 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33960?
It is a composite number with 32 divisors.