The number 77165
77165 is a composite number with 16 divisors. Its prime factorisation is 5 × 11 × 23 × 61. Divisors (16): 1, 5, 11, 23, 55, 61, 115, 253, 305, 671, 1265, 1403, 3355, 7015, 15433, 77165.
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How to work it out
- 1
77165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77165 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 77165 itself that is 29971, so 77165 is deficient (29971 is less than 77165). Euler's totient φ(77165) = 52800 numbers up to 77165 share no factor with it.
- 4
The digits of 77165 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77165 = 5 \times 11 \times 23 \times 61 \]
77165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 52800 |
| Square | 5954437225 |
| Cube | 459474148467125 |
| Square root | 277.785889 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7165 × |
77165 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and sixty-five |
| Binary (base 2) | 10010110101101101 |
| Octal (base 8) | 226555 |
| Hexadecimal (base 16) | 12D6D |
| Base 3 | 10220211222 |
| As time | 77165 seconds = 21 h 26 min 5 s |
Is 77165 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 2) | 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 | Yes (77165 ÷ 5 = 15433) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77165 ÷ 11 = 7015) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77165 a prime number?
No. 77165 = 5 × 11 × 23 × 61, so it is divisible by 5.
What are the factors of 77165?
1, 5, 11, 23, 55, 61, 115, 253, 305, 671, 1265, 1403, 3355, 7015, 15433, 77165.
What is 77165 in binary?
10010110101101101 (hexadecimal 12D6D, octal 226555).
What is the square root of 77165?
About 277.7859.
Is 77165 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77165?
It is a composite number with 16 divisors.