The number 49946
49946 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 17 × 113. Divisors (16): 1, 2, 13, 17, 26, 34, 113, 221, 226, 442, 1469, 1921, 2938, 3842, 24973, 49946.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49946: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49946 is composite. Its prime factorisation is
- 3
The divisors add up to 86184; without 49946 itself that is 36238, so 49946 is deficient (36238 is less than 49946). Euler's totient φ(49946) = 21504 numbers up to 49946 share no factor with it.
- 4
The digits of 49946 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49946 = 2 \times 13 \times 17 \times 113 \]
49946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86184 |
| Euler totient φ(n) | 21504 |
| Square | 2494602916 |
| Cube | 124595437242536 |
| Square root | 223.486017 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9946 × |
49946 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and forty-six |
| Binary (base 2) | 1100001100011010 |
| Octal (base 8) | 141432 |
| Hexadecimal (base 16) | C31A |
| Base 3 | 2112111212 |
| As time | 49946 seconds = 13 h 52 min 26 s |
Is 49946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49946 ÷ 2 = 24973) | 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 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49946 a prime number?
No. 49946 = 2 × 13 × 17 × 113, so it is divisible by 2.
What are the factors of 49946?
1, 2, 13, 17, 26, 34, 113, 221, 226, 442, 1469, 1921, 2938, 3842, 24973, 49946.
What is 49946 in binary?
1100001100011010 (hexadecimal C31A, octal 141432).
What is the square root of 49946?
About 223.4860.
Is 49946 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49946?
49946 is a happy number: repeatedly adding the squares of its digits reaches 1.