The number 73777
73777 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 353. Divisors (8): 1, 11, 19, 209, 353, 3883, 6707, 73777.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73777 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73777 is composite. Its prime factorisation is
- 3
The divisors add up to 84960; without 73777 itself that is 11183, so 73777 is deficient (11183 is less than 73777). Euler's totient φ(73777) = 63360 numbers up to 73777 share no factor with it.
- 4
The digits of 73777 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73777 = 11 \times 19 \times 353 \]
73777 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 84960 |
| Euler totient φ(n) | 63360 |
| Square | 5443045729 |
| Cube | 401571584748433 |
| Square root | 271.619219 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3777 × |
73777 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and seventy-seven |
| Binary (base 2) | 10010000000110001 |
| Octal (base 8) | 220061 |
| Hexadecimal (base 16) | 12031 |
| Base 3 | 10202012111 |
| As time | 73777 seconds = 20 h 29 min 37 s |
Is 73777 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 1) | 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 1) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73777 ÷ 11 = 6707) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73777 a prime number?
No. 73777 = 11 × 19 × 353, so it is divisible by 11.
What are the factors of 73777?
1, 11, 19, 209, 353, 3883, 6707, 73777.
What is 73777 in binary?
10010000000110001 (hexadecimal 12031, octal 220061).
What is the square root of 73777?
About 271.6192.
Is 73777 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 73777?
It is a composite number with 8 divisors.