The number 49881
49881 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1279. Divisors (8): 1, 3, 13, 39, 1279, 3837, 16627, 49881.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49881: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49881 is composite. Its prime factorisation is
- 3
The divisors add up to 71680; without 49881 itself that is 21799, so 49881 is deficient (21799 is less than 49881). Euler's totient φ(49881) = 30672 numbers up to 49881 share no factor with it.
- 4
The digits of 49881 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49881 = 3 \times 13 \times 1279 \]
49881 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 71680 |
| Euler totient φ(n) | 30672 |
| Square | 2488114161 |
| Cube | 124109622464841 |
| Square root | 223.340547 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9881 × |
49881 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and eighty-one |
| Binary (base 2) | 1100001011011001 |
| Octal (base 8) | 141331 |
| Hexadecimal (base 16) | C2D9 |
| Base 3 | 2112102110 |
| As time | 49881 seconds = 13 h 51 min 21 s |
Is 49881 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 (49881 ÷ 3 = 16627) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49881 a prime number?
No. 49881 = 3 × 13 × 1279, so it is divisible by 3.
What are the factors of 49881?
1, 3, 13, 39, 1279, 3837, 16627, 49881.
What is 49881 in binary?
1100001011011001 (hexadecimal C2D9, octal 141331).
What is the square root of 49881?
About 223.3405.
Is 49881 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49881?
49881 is a happy number: repeatedly adding the squares of its digits reaches 1.