The number 77115
77115 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 53 × 97. Divisors (16): 1, 3, 5, 15, 53, 97, 159, 265, 291, 485, 795, 1455, 5141, 15423, 25705, 77115.
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How to work it out
- 1
77115 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77115 is composite. Its prime factorisation is
- 3
The divisors add up to 127008; without 77115 itself that is 49893, so 77115 is deficient (49893 is less than 77115). Euler's totient φ(77115) = 39936 numbers up to 77115 share no factor with it.
- 4
The digits of 77115 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77115 = 3 \times 5 \times 53 \times 97 \]
77115 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 127008 |
| Euler totient φ(n) | 39936 |
| Square | 5946723225 |
| Cube | 458581561495875 |
| Square root | 277.695877 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7115 × |
77115 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and fifteen |
| Binary (base 2) | 10010110100111011 |
| Octal (base 8) | 226473 |
| Hexadecimal (base 16) | 12D3B |
| Base 3 | 10220210010 |
| As time | 77115 seconds = 21 h 25 min 15 s |
Is 77115 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 (77115 ÷ 3 = 25705) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77115 ÷ 5 = 15423) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77115 a prime number?
No. 77115 = 3 × 5 × 53 × 97, so it is divisible by 3.
What are the factors of 77115?
1, 3, 5, 15, 53, 97, 159, 265, 291, 485, 795, 1455, 5141, 15423, 25705, 77115.
What is 77115 in binary?
10010110100111011 (hexadecimal 12D3B, octal 226473).
What is the square root of 77115?
About 277.6959.
Is 77115 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77115?
It is a composite number with 16 divisors.