The number 49077
49077 is a composite number with 24 divisors. Its prime factorisation is × 7 × 19 × 41. Divisors (24): 1, 3, 7, 9, 19, 21, 41, 57, 63, 123, 133, 171, 287, 369, 399, 779 … 49077.
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How to work it out
- 1
49077 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49077 is composite. Its prime factorisation is
- 3
The divisors add up to 87360; without 49077 itself that is 38283, so 49077 is deficient (38283 is less than 49077). Euler's totient φ(49077) = 25920 numbers up to 49077 share no factor with it.
- 4
The digits of 49077 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49077 = 3^{2} \times 7 \times 19 \times 41 \]49077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 87360 |
| Euler totient φ(n) | 25920 |
| Square | 2408551929 |
| Cube | 118204503019533 |
| Square root | 221.533293 (= 3√5453) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9077 × |
49077 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and seventy-seven |
| Binary (base 2) | 1011111110110101 |
| Octal (base 8) | 137665 |
| Hexadecimal (base 16) | BFB5 |
| Base 3 | 2111022200 |
| As time | 49077 seconds = 13 h 37 min 57 s |
Is 49077 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 (49077 ÷ 3 = 16359) | 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 | Yes (49077 ÷ 7 = 7011) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49077 ÷ 9 = 5453) | 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 6) | 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 49077 a prime number?
No. 49077 = × 7 × 19 × 41, so it is divisible by 3.
What are the factors of 49077?
1, 3, 7, 9, 19, 21, 41, 57, 63, 123, 133, 171, 287, 369, 399, 779, 861, 1197, 2337, 2583, 5453, 7011, 16359, 49077.
What is 49077 in binary?
1011111110110101 (hexadecimal BFB5, octal 137665).
What is the square root of 49077?
About 221.5333, exactly 3√5453.
Is 49077 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49077?
It is a composite number with 24 divisors.