The number 49712
49712 is a composite number with 20 divisors. Its prime factorisation is × 13 × 239. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 239, 478, 956, 1912, 3107, 3824 … 49712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49712 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 49712 itself that is 54448, so 49712 is abundant (54448 is more than 49712). Euler's totient φ(49712) = 22848 numbers up to 49712 share no factor with it.
- 4
The digits of 49712 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49712 = 2^{4} \times 13 \times 239 \]49712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 22848 |
| Square | 2471282944 |
| Cube | 122852417712128 |
| Square root | 222.961880 (= 4√3107) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9712 × |
49712 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and twelve |
| Binary (base 2) | 1100001000110000 |
| Octal (base 8) | 141060 |
| Hexadecimal (base 16) | C230 |
| Base 3 | 2112012012 |
| As time | 49712 seconds = 13 h 48 min 32 s |
Is 49712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49712 ÷ 2 = 24856) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49712 ÷ 4 = 12428) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (49712 ÷ 8 = 6214) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49712 a prime number?
No. 49712 = × 13 × 239, so it is divisible by 2.
What are the factors of 49712?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 239, 478, 956, 1912, 3107, 3824, 6214, 12428, 24856, 49712.
What is 49712 in binary?
1100001000110000 (hexadecimal C230, octal 141060).
What is the square root of 49712?
About 222.9619, exactly 4√3107.
Is 49712 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 49712?
It is a composite number with 20 divisors.