The number 49777
49777 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 547. Divisors (8): 1, 7, 13, 91, 547, 3829, 7111, 49777.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49777 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49777 is composite. Its prime factorisation is
- 3
The divisors add up to 61376; without 49777 itself that is 11599, so 49777 is deficient (11599 is less than 49777). Euler's totient φ(49777) = 39312 numbers up to 49777 share no factor with it.
- 4
The digits of 49777 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49777 = 7 \times 13 \times 547 \]
49777 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61376 |
| Euler totient φ(n) | 39312 |
| Square | 2477749729 |
| Cube | 123334948260433 |
| Square root | 223.107597 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9777 × |
49777 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and seventy-seven |
| Binary (base 2) | 1100001001110001 |
| Octal (base 8) | 141161 |
| Hexadecimal (base 16) | C271 |
| Base 3 | 2112021121 |
| As time | 49777 seconds = 13 h 49 min 37 s |
Is 49777 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49777 ÷ 7 = 7111) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49777 a prime number?
No. 49777 = 7 × 13 × 547, so it is divisible by 7.
What are the factors of 49777?
1, 7, 13, 91, 547, 3829, 7111, 49777.
What is 49777 in binary?
1100001001110001 (hexadecimal C271, octal 141161).
What is the square root of 49777?
About 223.1076.
Is 49777 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 49777?
It is a composite number with 8 divisors.