The number 49716
49716 is a composite number with 18 divisors. Its prime factorisation is × × 1381. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1381, 2762, 4143, 5524, 8286, 12429, 16572 … 49716.
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How to work it out
- 1
49716 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49716 is composite. Its prime factorisation is
- 3
The divisors add up to 125762; without 49716 itself that is 76046, so 49716 is abundant (76046 is more than 49716). Euler's totient φ(49716) = 16560 numbers up to 49716 share no factor with it.
- 4
The digits of 49716 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49716 = 2^{2} \times 3^{2} \times 1381 \]49716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 125762 |
| Euler totient φ(n) | 16560 |
| Square | 2471680656 |
| Cube | 122882075493696 |
| Square root | 222.970850 (= 6√1381) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9716 × |
49716 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and sixteen |
| Binary (base 2) | 1100001000110100 |
| Octal (base 8) | 141064 |
| Hexadecimal (base 16) | C234 |
| Base 3 | 2112012100 |
| As time | 49716 seconds = 13 h 48 min 36 s |
Is 49716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49716 ÷ 2 = 24858) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49716 ÷ 3 = 16572) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49716 ÷ 4 = 12429) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49716 ÷ 6 = 8286) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (49716 ÷ 9 = 5524) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49716 ÷ 12 = 4143) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49716 a prime number?
No. 49716 = × × 1381, so it is divisible by 2.
What are the factors of 49716?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1381, 2762, 4143, 5524, 8286, 12429, 16572, 24858, 49716.
What is 49716 in binary?
1100001000110100 (hexadecimal C234, octal 141064).
What is the square root of 49716?
About 222.9709, exactly 6√1381.
Is 49716 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49716?
It is a composite number with 18 divisors.