The number 77750
77750 is a composite number with 16 divisors. Its prime factorisation is 2 × × 311. Divisors (16): 1, 2, 5, 10, 25, 50, 125, 250, 311, 622, 1555, 3110, 7775, 15550, 38875, 77750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77750 is composite. Its prime factorisation is
- 3
The divisors add up to 146016; without 77750 itself that is 68266, so 77750 is deficient (68266 is less than 77750). Euler's totient φ(77750) = 31000 numbers up to 77750 share no factor with it.
- 4
The digits of 77750 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 244 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77750 = 2 \times 5^{3} \times 311 \]77750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 146016 |
| Euler totient φ(n) | 31000 |
| Square | 6045062500 |
| Cube | 470003609375000 |
| Square root | 278.836870 (= 5√3110) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 244 |
| Scientific notation | 7.775 × |
77750 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and fifty |
| Binary (base 2) | 10010111110110110 |
| Octal (base 8) | 227666 |
| Hexadecimal (base 16) | 12FB6 |
| Base 3 | 10221122122 |
| As time | 77750 seconds = 21 h 35 min 50 s |
Is 77750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77750 ÷ 2 = 38875) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77750 ÷ 5 = 15550) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77750 ÷ 10 = 7775) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77750 a prime number?
No. 77750 = 2 × × 311, so it is divisible by 2.
What are the factors of 77750?
1, 2, 5, 10, 25, 50, 125, 250, 311, 622, 1555, 3110, 7775, 15550, 38875, 77750.
What is 77750 in binary?
10010111110110110 (hexadecimal 12FB6, octal 227666).
What is the square root of 77750?
About 278.8369, exactly 5√3110.
Is 77750 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77750?
It is a composite number with 16 divisors.