The number 49734
49734 is a composite number with 20 divisors. Its prime factorisation is 2 × × 307. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 307, 614, 921, 1842, 2763, 5526 … 49734.
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How to work it out
- 1
What is special about 49734: a Harshad number: divisible by its digit sum 27.
- 2
49734 is composite. Its prime factorisation is
- 3
The divisors add up to 111804; without 49734 itself that is 62070, so 49734 is abundant (62070 is more than 49734). Euler's totient φ(49734) = 16524 numbers up to 49734 share no factor with it.
- 4
The digits of 49734 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49734 = 2 \times 3^{4} \times 307 \]49734 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 111804 |
| Euler totient φ(n) | 16524 |
| Square | 2473470756 |
| Cube | 123015594578904 |
| Square root | 223.011210 (= 9√614) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9734 × |
49734 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and thirty-four |
| Binary (base 2) | 1100001001000110 |
| Octal (base 8) | 141106 |
| Hexadecimal (base 16) | C246 |
| Base 3 | 2112020000 |
| As time | 49734 seconds = 13 h 48 min 54 s |
Is 49734 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49734 ÷ 2 = 24867) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49734 ÷ 3 = 16578) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (49734 ÷ 6 = 8289) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49734 ÷ 9 = 5526) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49734 a prime number?
No. 49734 = 2 × × 307, so it is divisible by 2.
What are the factors of 49734?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 307, 614, 921, 1842, 2763, 5526, 8289, 16578, 24867, 49734.
What is 49734 in binary?
1100001001000110 (hexadecimal C246, octal 141106).
What is the square root of 49734?
About 223.0112, exactly 9√614.
Is 49734 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49734?
49734 is a Harshad number: divisible by its digit sum 27.