The number 49931
49931 is a composite number with 6 divisors. Its prime factorisation is Ć 1019. Divisors (6): 1, 7, 49, 1019, 7133, 49931.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49931: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49931 is composite. Its prime factorisation is
- 3
The divisors add up to 58140; without 49931 itself that is 8209, so 49931 is deficient (8209 is less than 49931). Euler's totient Ļ(49931) = 42756 numbers up to 49931 share no factor with it.
- 4
The digits of 49931 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49931 = 7^{2} \times 1019 \]49931 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 58140 |
| Euler totient Ļ(n) | 42756 |
| Square | 2493104761 |
| Cube | 124483213821491 |
| Square root | 223.452456 (= 7ā1019) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9931 Ć |
49931 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and thirty-one |
| Binary (base 2) | 1100001100001011 |
| Octal (base 8) | 141413 |
| Hexadecimal (base 16) | C30B |
| Base 3 | 2112111022 |
| As time | 49931 seconds = 13 h 52 min 11 s |
Is 49931 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49931 Ć· 7 = 7133) | 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 8) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49931 a prime number?
No. 49931 = Ć 1019, so it is divisible by 7.
What are the factors of 49931?
1, 7, 49, 1019, 7133, 49931.
What is 49931 in binary?
1100001100001011 (hexadecimal C30B, octal 141413).
What is the square root of 49931?
About 223.4525, exactly 7ā1019.
Is 49931 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 49931?
49931 is a happy number: repeatedly adding the squares of its digits reaches 1.