The number 49977
49977 is a composite number with 10 divisors. Its prime factorisation is × 617. Divisors (10): 1, 3, 9, 27, 81, 617, 1851, 5553, 16659, 49977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49977 is composite. Its prime factorisation is
- 3
The divisors add up to 74778; without 49977 itself that is 24801, so 49977 is deficient (24801 is less than 49977). Euler's totient φ(49977) = 33264 numbers up to 49977 share no factor with it.
- 4
The digits of 49977 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49977 = 3^{4} \times 617 \]49977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 74778 |
| Euler totient φ(n) | 33264 |
| Square | 2497700529 |
| Cube | 124827579337833 |
| Square root | 223.555362 (= 9√617) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.9977 × |
49977 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and seventy-seven |
| Binary (base 2) | 1100001100111001 |
| Octal (base 8) | 141471 |
| Hexadecimal (base 16) | C339 |
| Base 3 | 2112120000 |
| As time | 49977 seconds = 13 h 52 min 57 s |
Is 49977 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 (49977 ÷ 3 = 16659) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49977 ÷ 9 = 5553) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49977 a prime number?
No. 49977 = × 617, so it is divisible by 3.
What are the factors of 49977?
1, 3, 9, 27, 81, 617, 1851, 5553, 16659, 49977.
What is 49977 in binary?
1100001100111001 (hexadecimal C339, octal 141471).
What is the square root of 49977?
About 223.5554, exactly 9√617.
Is 49977 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 49977?
It is a composite number with 10 divisors.