The number 77716
77716 is a composite number with 6 divisors. Its prime factorisation is × 19429. Divisors (6): 1, 2, 4, 19429, 38858, 77716.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77716 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77716 is composite. Its prime factorisation is
- 3
The divisors add up to 136010; without 77716 itself that is 58294, so 77716 is deficient (58294 is less than 77716). Euler's totient φ(77716) = 38856 numbers up to 77716 share no factor with it.
- 4
The digits of 77716 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77716 = 2^{2} \times 19429 \]77716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 136010 |
| Euler totient φ(n) | 38856 |
| Square | 6039776656 |
| Cube | 469387282597696 |
| Square root | 278.775896 (= 2√19429) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7716 × |
77716 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and sixteen |
| Binary (base 2) | 10010111110010100 |
| Octal (base 8) | 227624 |
| Hexadecimal (base 16) | 12F94 |
| Base 3 | 10221121101 |
| As time | 77716 seconds = 21 h 35 min 16 s |
Is 77716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77716 ÷ 2 = 38858) | 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 | Yes (77716 ÷ 4 = 19429) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77716 a prime number?
No. 77716 = × 19429, so it is divisible by 2.
What are the factors of 77716?
1, 2, 4, 19429, 38858, 77716.
What is 77716 in binary?
10010111110010100 (hexadecimal 12F94, octal 227624).
What is the square root of 77716?
About 278.7759, exactly 2√19429.
Is 77716 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77716?
It is a composite number with 6 divisors.