The number 33776
33776 is a composite number with 10 divisors. Its prime factorisation is × 2111. Divisors (10): 1, 2, 4, 8, 16, 2111, 4222, 8444, 16888, 33776.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33776 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33776 is composite. Its prime factorisation is
- 3
The divisors add up to 65472; without 33776 itself that is 31696, so 33776 is deficient (31696 is less than 33776). Euler's totient φ(33776) = 16880 numbers up to 33776 share no factor with it.
- 4
The digits of 33776 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33776 = 2^{4} \times 2111 \]33776 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 65472 |
| Euler totient φ(n) | 16880 |
| Square | 1140818176 |
| Cube | 38532274712576 |
| Square root | 183.782480 (= 4√2111) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.3776 × |
33776 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and seventy-six |
| Binary (base 2) | 1000001111110000 |
| Octal (base 8) | 101760 |
| Hexadecimal (base 16) | 83F0 |
| Base 3 | 1201022222 |
| As time | 33776 seconds = 9 h 22 min 56 s |
Is 33776 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33776 ÷ 2 = 16888) | 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 | Yes (33776 ÷ 4 = 8444) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | No (remainder 1) | 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 (33776 ÷ 8 = 4222) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33776 a prime number?
No. 33776 = × 2111, so it is divisible by 2.
What are the factors of 33776?
1, 2, 4, 8, 16, 2111, 4222, 8444, 16888, 33776.
What is 33776 in binary?
1000001111110000 (hexadecimal 83F0, octal 101760).
What is the square root of 33776?
About 183.7825, exactly 4√2111.
Is 33776 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 33776?
It is a composite number with 10 divisors.