The number 33772
33772 is a composite number with 6 divisors. Its prime factorisation is × 8443. Divisors (6): 1, 2, 4, 8443, 16886, 33772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33772 is composite. Its prime factorisation is
- 3
The divisors add up to 59108; without 33772 itself that is 25336, so 33772 is deficient (25336 is less than 33772). Euler's totient φ(33772) = 16884 numbers up to 33772 share no factor with it.
- 4
The digits of 33772 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33772 = 2^{2} \times 8443 \]33772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 59108 |
| Euler totient φ(n) | 16884 |
| Square | 1140547984 |
| Cube | 38518586515648 |
| Square root | 183.771597 (= 2√8443) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3772 × |
33772 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and seventy-two |
| Binary (base 2) | 1000001111101100 |
| Octal (base 8) | 101754 |
| Hexadecimal (base 16) | 83EC |
| Base 3 | 1201022211 |
| As time | 33772 seconds = 9 h 22 min 52 s |
Is 33772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33772 ÷ 2 = 16886) | 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 (33772 ÷ 4 = 8443) | 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 4) | 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 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 2) | 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 33772 a prime number?
No. 33772 = × 8443, so it is divisible by 2.
What are the factors of 33772?
1, 2, 4, 8443, 16886, 33772.
What is 33772 in binary?
1000001111101100 (hexadecimal 83EC, octal 101754).
What is the square root of 33772?
About 183.7716, exactly 2√8443.
Is 33772 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33772?
It is a composite number with 6 divisors.