The number 67771
67771 is a composite number with 8 divisors. Its prime factorisation is 11 × 61 × 101. Divisors (8): 1, 11, 61, 101, 671, 1111, 6161, 67771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67771 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67771 is composite. Its prime factorisation is
- 3
The divisors add up to 75888; without 67771 itself that is 8117, so 67771 is deficient (8117 is less than 67771). Euler's totient φ(67771) = 60000 numbers up to 67771 share no factor with it.
- 4
The digits of 67771 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67771 = 11 \times 61 \times 101 \]
67771 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75888 |
| Euler totient φ(n) | 60000 |
| Square | 4592908441 |
| Cube | 311265997955011 |
| Square root | 260.328638 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7771 × |
67771 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and seventy-one |
| Binary (base 2) | 10000100010111011 |
| Octal (base 8) | 204273 |
| Hexadecimal (base 16) | 108BB |
| Base 3 | 10102222001 |
| As time | 67771 seconds = 18 h 49 min 31 s |
Is 67771 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 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 3) | 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 (67771 ÷ 11 = 6161) | 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 67771 a prime number?
No. 67771 = 11 × 61 × 101, so it is divisible by 11.
What are the factors of 67771?
1, 11, 61, 101, 671, 1111, 6161, 67771.
What is 67771 in binary?
10000100010111011 (hexadecimal 108BB, octal 204273).
What is the square root of 67771?
About 260.3286.
Is 67771 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67771?
It is a composite number with 8 divisors.