The number 77671
77671 is a composite number with 8 divisors. Its prime factorisation is 11 × 23 × 307. Divisors (8): 1, 11, 23, 253, 307, 3377, 7061, 77671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77671 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77671 is composite. Its prime factorisation is
- 3
The divisors add up to 88704; without 77671 itself that is 11033, so 77671 is deficient (11033 is less than 77671). Euler's totient φ(77671) = 67320 numbers up to 77671 share no factor with it.
- 4
The digits of 77671 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 231 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77671 = 11 \times 23 \times 307 \]
77671 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 88704 |
| Euler totient φ(n) | 67320 |
| Square | 6032784241 |
| Cube | 468572384782711 |
| Square root | 278.695174 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 231 |
| Scientific notation | 7.7671 × |
77671 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and seventy-one |
| Binary (base 2) | 10010111101100111 |
| Octal (base 8) | 227547 |
| Hexadecimal (base 16) | 12F67 |
| Base 3 | 10221112201 |
| As time | 77671 seconds = 21 h 34 min 31 s |
Is 77671 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 1) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77671 ÷ 11 = 7061) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77671 a prime number?
No. 77671 = 11 × 23 × 307, so it is divisible by 11.
What are the factors of 77671?
1, 11, 23, 253, 307, 3377, 7061, 77671.
What is 77671 in binary?
10010111101100111 (hexadecimal 12F67, octal 227547).
What is the square root of 77671?
About 278.6952.
Is 77671 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77671?
It is a composite number with 8 divisors.