The number 33276
33276 is a composite number with 24 divisors. Its prime factorisation is × 3 × 47 × 59. Divisors (24): 1, 2, 3, 4, 6, 12, 47, 59, 94, 118, 141, 177, 188, 236, 282, 354 … 33276.
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How to work it out
- 1
33276 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33276 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 33276 itself that is 47364, so 33276 is abundant (47364 is more than 33276). Euler's totient φ(33276) = 10672 numbers up to 33276 share no factor with it.
- 4
The digits of 33276 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33276 = 2^{2} \times 3 \times 47 \times 59 \]33276 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 10672 |
| Square | 1107292176 |
| Cube | 36846254448576 |
| Square root | 182.417104 (= 2√8319) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 90 |
| Scientific notation | 3.3276 × |
33276 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and seventy-six |
| Binary (base 2) | 1000000111111100 |
| Octal (base 8) | 100774 |
| Hexadecimal (base 16) | 81FC |
| Base 3 | 1200122110 |
| As time | 33276 seconds = 9 h 14 min 36 s |
Is 33276 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33276 ÷ 2 = 16638) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33276 ÷ 3 = 11092) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33276 ÷ 4 = 8319) | 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 | Yes (33276 ÷ 6 = 5546) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33276 ÷ 12 = 2773) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33276 a prime number?
No. 33276 = × 3 × 47 × 59, so it is divisible by 2.
What are the factors of 33276?
1, 2, 3, 4, 6, 12, 47, 59, 94, 118, 141, 177, 188, 236, 282, 354, 564, 708, 2773, 5546, 8319, 11092, 16638, 33276.
What is 33276 in binary?
1000000111111100 (hexadecimal 81FC, octal 100774).
What is the square root of 33276?
About 182.4171, exactly 2√8319.
Is 33276 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33276?
It is a composite number with 24 divisors.