The number 77116
77116 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1483. Divisors (12): 1, 2, 4, 13, 26, 52, 1483, 2966, 5932, 19279, 38558, 77116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77116 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77116 is composite. Its prime factorisation is
- 3
The divisors add up to 145432; without 77116 itself that is 68316, so 77116 is deficient (68316 is less than 77116). Euler's totient φ(77116) = 35568 numbers up to 77116 share no factor with it.
- 4
The digits of 77116 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77116 = 2^{2} \times 13 \times 1483 \]77116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 145432 |
| Euler totient φ(n) | 35568 |
| Square | 5946877456 |
| Cube | 458599401896896 |
| Square root | 277.697677 (= 2√19279) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7116 × |
77116 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and sixteen |
| Binary (base 2) | 10010110100111100 |
| Octal (base 8) | 226474 |
| Hexadecimal (base 16) | 12D3C |
| Base 3 | 10220210011 |
| As time | 77116 seconds = 21 h 25 min 16 s |
Is 77116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77116 ÷ 2 = 38558) | 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 (77116 ÷ 4 = 19279) | 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 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 77116 a prime number?
No. 77116 = × 13 × 1483, so it is divisible by 2.
What are the factors of 77116?
1, 2, 4, 13, 26, 52, 1483, 2966, 5932, 19279, 38558, 77116.
What is 77116 in binary?
10010110100111100 (hexadecimal 12D3C, octal 226474).
What is the square root of 77116?
About 277.6977, exactly 2√19279.
Is 77116 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 77116?
It is a composite number with 12 divisors.