The number 49084
49084 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1753. Divisors (12): 1, 2, 4, 7, 14, 28, 1753, 3506, 7012, 12271, 24542, 49084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49084 is composite. Its prime factorisation is
- 3
The divisors add up to 98224; without 49084 itself that is 49140, so 49084 is abundant (49140 is more than 49084). Euler's totient φ(49084) = 21024 numbers up to 49084 share no factor with it.
- 4
The digits of 49084 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49084 = 2^{2} \times 7 \times 1753 \]49084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98224 |
| Euler totient φ(n) | 21024 |
| Square | 2409239056 |
| Cube | 118255089824704 |
| Square root | 221.549092 (= 2√12271) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9084 × |
49084 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and eighty-four |
| Binary (base 2) | 1011111110111100 |
| Octal (base 8) | 137674 |
| Hexadecimal (base 16) | BFBC |
| Base 3 | 2111022221 |
| As time | 49084 seconds = 13 h 38 min 4 s |
Is 49084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49084 ÷ 2 = 24542) | 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 | Yes (49084 ÷ 4 = 12271) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49084 ÷ 7 = 7012) | 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 4) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49084 a prime number?
No. 49084 = × 7 × 1753, so it is divisible by 2.
What are the factors of 49084?
1, 2, 4, 7, 14, 28, 1753, 3506, 7012, 12271, 24542, 49084.
What is 49084 in binary?
1011111110111100 (hexadecimal BFBC, octal 137674).
What is the square root of 49084?
About 221.5491, exactly 2√12271.
Is 49084 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 49084?
It is a composite number with 12 divisors.