The number 77733
77733 is a composite number with 8 divisors. Its prime factorisation is × 2879. Divisors (8): 1, 3, 9, 27, 2879, 8637, 25911, 77733.
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How to work it out
- 1
What is special about 77733: a Harshad number: divisible by its digit sum 27.
- 2
77733 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 77733 itself that is 37467, so 77733 is deficient (37467 is less than 77733). Euler's totient φ(77733) = 51804 numbers up to 77733 share no factor with it.
- 4
The digits of 77733 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77733 = 3^{3} \times 2879 \]77733 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 51804 |
| Square | 6042419289 |
| Cube | 469695378591837 |
| Square root | 278.806384 (= 3√8637) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7733 × |
77733 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and thirty-three |
| Binary (base 2) | 10010111110100101 |
| Octal (base 8) | 227645 |
| Hexadecimal (base 16) | 12FA5 |
| Base 3 | 10221122000 |
| As time | 77733 seconds = 21 h 35 min 33 s |
Is 77733 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 (77733 ÷ 3 = 25911) | 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 3) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77733 ÷ 9 = 8637) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 77733 a prime number?
No. 77733 = × 2879, so it is divisible by 3.
What are the factors of 77733?
1, 3, 9, 27, 2879, 8637, 25911, 77733.
What is 77733 in binary?
10010111110100101 (hexadecimal 12FA5, octal 227645).
What is the square root of 77733?
About 278.8064, exactly 3√8637.
Is 77733 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77733?
77733 is a Harshad number: divisible by its digit sum 27.