The number 77066
77066 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 31 × 113. Divisors (16): 1, 2, 11, 22, 31, 62, 113, 226, 341, 682, 1243, 2486, 3503, 7006, 38533, 77066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77066 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77066 is composite. Its prime factorisation is
- 3
The divisors add up to 131328; without 77066 itself that is 54262, so 77066 is deficient (54262 is less than 77066). Euler's totient φ(77066) = 33600 numbers up to 77066 share no factor with it.
- 4
The digits of 77066 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77066 = 2 \times 11 \times 31 \times 113 \]
77066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131328 |
| Euler totient φ(n) | 33600 |
| Square | 5939168356 |
| Cube | 457707948523496 |
| Square root | 277.607637 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7066 × |
77066 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and sixty-six |
| Binary (base 2) | 10010110100001010 |
| Octal (base 8) | 226412 |
| Hexadecimal (base 16) | 12D0A |
| Base 3 | 10220201022 |
| As time | 77066 seconds = 21 h 24 min 26 s |
Is 77066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77066 ÷ 2 = 38533) | 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 2) | 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 2) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77066 ÷ 11 = 7006) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77066 a prime number?
No. 77066 = 2 × 11 × 31 × 113, so it is divisible by 2.
What are the factors of 77066?
1, 2, 11, 22, 31, 62, 113, 226, 341, 682, 1243, 2486, 3503, 7006, 38533, 77066.
What is 77066 in binary?
10010110100001010 (hexadecimal 12D0A, octal 226412).
What is the square root of 77066?
About 277.6076.
Is 77066 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77066?
It is a composite number with 16 divisors.