The number 49738
49738 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1913. Divisors (8): 1, 2, 13, 26, 1913, 3826, 24869, 49738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49738: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49738 is composite. Its prime factorisation is
- 3
The divisors add up to 80388; without 49738 itself that is 30650, so 49738 is deficient (30650 is less than 49738). Euler's totient φ(49738) = 22944 numbers up to 49738 share no factor with it.
- 4
The digits of 49738 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49738 = 2 \times 13 \times 1913 \]
49738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80388 |
| Euler totient φ(n) | 22944 |
| Square | 2473868644 |
| Cube | 123045278615272 |
| Square root | 223.020178 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9738 × |
49738 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and thirty-eight |
| Binary (base 2) | 1100001001001010 |
| Octal (base 8) | 141112 |
| Hexadecimal (base 16) | C24A |
| Base 3 | 2112020011 |
| As time | 49738 seconds = 13 h 48 min 58 s |
Is 49738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49738 ÷ 2 = 24869) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49738 a prime number?
No. 49738 = 2 × 13 × 1913, so it is divisible by 2.
What are the factors of 49738?
1, 2, 13, 26, 1913, 3826, 24869, 49738.
What is 49738 in binary?
1100001001001010 (hexadecimal C24A, octal 141112).
What is the square root of 49738?
About 223.0202.
Is 49738 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49738?
49738 is a happy number: repeatedly adding the squares of its digits reaches 1.