The number 33077
33077 is a composite number with 8 divisors. Its prime factorisation is 11 × 31 × 97. Divisors (8): 1, 11, 31, 97, 341, 1067, 3007, 33077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33077 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33077 is composite. Its prime factorisation is
- 3
The divisors add up to 37632; without 33077 itself that is 4555, so 33077 is deficient (4555 is less than 33077). Euler's totient φ(33077) = 28800 numbers up to 33077 share no factor with it.
- 4
The digits of 33077 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33077 = 11 \times 31 \times 97 \]
33077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 37632 |
| Euler totient φ(n) | 28800 |
| Square | 1094087929 |
| Cube | 36189146427533 |
| Square root | 181.870833 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3077 × |
33077 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and seventy-seven |
| Binary (base 2) | 1000000100110101 |
| Octal (base 8) | 100465 |
| Hexadecimal (base 16) | 8135 |
| Base 3 | 1200101002 |
| As time | 33077 seconds = 9 h 11 min 17 s |
Is 33077 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33077 ÷ 11 = 3007) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33077 a prime number?
No. 33077 = 11 × 31 × 97, so it is divisible by 11.
What are the factors of 33077?
1, 11, 31, 97, 341, 1067, 3007, 33077.
What is 33077 in binary?
1000000100110101 (hexadecimal 8135, octal 100465).
What is the square root of 33077?
About 181.8708.
Is 33077 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33077?
It is a composite number with 8 divisors.