The number 33777
33777 is a composite number with 12 divisors. Its prime factorisation is × 139. Divisors (12): 1, 3, 9, 27, 81, 139, 243, 417, 1251, 3753, 11259, 33777.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33777: a Harshad number: divisible by its digit sum 27.
- 2
33777 is composite. Its prime factorisation is
- 3
The divisors add up to 50960; without 33777 itself that is 17183, so 33777 is deficient (17183 is less than 33777). Euler's totient φ(33777) = 22356 numbers up to 33777 share no factor with it.
- 4
The digits of 33777 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33777 = 3^{5} \times 139 \]33777 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50960 |
| Euler totient φ(n) | 22356 |
| Square | 1140885729 |
| Cube | 38535697268433 |
| Square root | 183.785201 (= 9√417) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.3777 × |
33777 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and seventy-seven |
| Binary (base 2) | 1000001111110001 |
| Octal (base 8) | 101761 |
| Hexadecimal (base 16) | 83F1 |
| Base 3 | 1201100000 |
| As time | 33777 seconds = 9 h 22 min 57 s |
Is 33777 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 | Yes (33777 ÷ 3 = 11259) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33777 ÷ 9 = 3753) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33777 a prime number?
No. 33777 = × 139, so it is divisible by 3.
What are the factors of 33777?
1, 3, 9, 27, 81, 139, 243, 417, 1251, 3753, 11259, 33777.
What is 33777 in binary?
1000001111110001 (hexadecimal 83F1, octal 101761).
What is the square root of 33777?
About 183.7852, exactly 9√417.
Is 33777 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33777?
33777 is a Harshad number: divisible by its digit sum 27.