The number 49731
49731 is a binary palindrome (1100001001000011). Its prime factorisation is 3 × × 137. Divisors (12): 1, 3, 11, 33, 121, 137, 363, 411, 1507, 4521, 16577, 49731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49731: a binary palindrome (1100001001000011).
- 2
49731 is composite. Its prime factorisation is
- 3
The divisors add up to 73416; without 49731 itself that is 23685, so 49731 is deficient (23685 is less than 49731). Euler's totient φ(49731) = 29920 numbers up to 49731 share no factor with it.
- 4
The digits of 49731 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49731 = 3 \times 11^{2} \times 137 \]49731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73416 |
| Euler totient φ(n) | 29920 |
| Square | 2473172361 |
| Cube | 122993334684891 |
| Square root | 223.004484 (= 11√411) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9731 × |
49731 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and thirty-one |
| Binary (base 2) | 1100001001000011 |
| Octal (base 8) | 141103 |
| Hexadecimal (base 16) | C243 |
| Base 3 | 2112012220 |
| As time | 49731 seconds = 13 h 48 min 51 s |
Is 49731 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49731 ÷ 3 = 16577) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49731 ÷ 11 = 4521) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49731 a prime number?
No. 49731 = 3 × × 137, so it is divisible by 3.
What are the factors of 49731?
1, 3, 11, 33, 121, 137, 363, 411, 1507, 4521, 16577, 49731.
What is 49731 in binary?
1100001001000011 (hexadecimal C243, octal 141103).
What is the square root of 49731?
About 223.0045, exactly 11√411.
Is 49731 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49731?
49731 is a binary palindrome (1100001001000011).