The number 77164
77164 is a composite number with 12 divisors. Its prime factorisation is × 101 × 191. Divisors (12): 1, 2, 4, 101, 191, 202, 382, 404, 764, 19291, 38582, 77164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77164 is composite. Its prime factorisation is
- 3
The divisors add up to 137088; without 77164 itself that is 59924, so 77164 is deficient (59924 is less than 77164). Euler's totient φ(77164) = 38000 numbers up to 77164 share no factor with it.
- 4
The digits of 77164 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77164 = 2^{2} \times 101 \times 191 \]77164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 137088 |
| Euler totient φ(n) | 38000 |
| Square | 5954282896 |
| Cube | 459456285386944 |
| Square root | 277.784089 (= 2√19291) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7164 × |
77164 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and sixty-four |
| Binary (base 2) | 10010110101101100 |
| Octal (base 8) | 226554 |
| Hexadecimal (base 16) | 12D6C |
| Base 3 | 10220211221 |
| As time | 77164 seconds = 21 h 26 min 4 s |
Is 77164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77164 ÷ 2 = 38582) | 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 (77164 ÷ 4 = 19291) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 77164 a prime number?
No. 77164 = × 101 × 191, so it is divisible by 2.
What are the factors of 77164?
1, 2, 4, 101, 191, 202, 382, 404, 764, 19291, 38582, 77164.
What is 77164 in binary?
10010110101101100 (hexadecimal 12D6C, octal 226554).
What is the square root of 77164?
About 277.7841, exactly 2√19291.
Is 77164 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77164?
It is a composite number with 12 divisors.