The number 77727
77727 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1993. Divisors (8): 1, 3, 13, 39, 1993, 5979, 25909, 77727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77727 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77727 is composite. Its prime factorisation is
- 3
The divisors add up to 111664; without 77727 itself that is 33937, so 77727 is deficient (33937 is less than 77727). Euler's totient φ(77727) = 47808 numbers up to 77727 share no factor with it.
- 4
The digits of 77727 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77727 = 3 \times 13 \times 1993 \]
77727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 111664 |
| Euler totient φ(n) | 47808 |
| Square | 6041486529 |
| Cube | 469586623439583 |
| Square root | 278.795624 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7727 × |
77727 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and twenty-seven |
| Binary (base 2) | 10010111110011111 |
| Octal (base 8) | 227637 |
| Hexadecimal (base 16) | 12F9F |
| Base 3 | 10221121210 |
| As time | 77727 seconds = 21 h 35 min 27 s |
Is 77727 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 | Yes (77727 ÷ 3 = 25909) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77727 a prime number?
No. 77727 = 3 × 13 × 1993, so it is divisible by 3.
What are the factors of 77727?
1, 3, 13, 39, 1993, 5979, 25909, 77727.
What is 77727 in binary?
10010111110011111 (hexadecimal 12F9F, octal 227637).
What is the square root of 77727?
About 278.7956.
Is 77727 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77727?
It is a composite number with 8 divisors.