The number 49784
49784 is a composite number with 24 divisors. Its prime factorisation is × × 127. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 127, 196, 254, 392, 508, 889 … 49784.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49784: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49784 is composite. Its prime factorisation is
- 3
The divisors add up to 109440; without 49784 itself that is 59656, so 49784 is abundant (59656 is more than 49784). Euler's totient φ(49784) = 21168 numbers up to 49784 share no factor with it.
- 4
The digits of 49784 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49784 = 2^{3} \times 7^{2} \times 127 \]49784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 109440 |
| Euler totient φ(n) | 21168 |
| Square | 2478446656 |
| Cube | 123386988322304 |
| Square root | 223.123284 (= 14√254) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9784 × |
49784 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and eighty-four |
| Binary (base 2) | 1100001001111000 |
| Octal (base 8) | 141170 |
| Hexadecimal (base 16) | C278 |
| Base 3 | 2112021212 |
| As time | 49784 seconds = 13 h 49 min 44 s |
Is 49784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49784 ÷ 2 = 24892) | 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 (49784 ÷ 4 = 12446) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49784 ÷ 7 = 7112) | 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 (49784 ÷ 8 = 6223) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 49784 a prime number?
No. 49784 = × × 127, so it is divisible by 2.
What are the factors of 49784?
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 127, 196, 254, 392, 508, 889, 1016, 1778, 3556, 6223, 7112, 12446, 24892, 49784.
What is 49784 in binary?
1100001001111000 (hexadecimal C278, octal 141170).
What is the square root of 49784?
About 223.1233, exactly 14√254.
Is 49784 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49784?
49784 is a happy number: repeatedly adding the squares of its digits reaches 1.