The number 50949
50949 is a composite number with 20 divisors. Its prime factorisation is × 17 × 37. Divisors (20): 1, 3, 9, 17, 27, 37, 51, 81, 111, 153, 333, 459, 629, 999, 1377, 1887 … 50949.
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How to work it out
- 1
What is special about 50949: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
50949 is composite. Its prime factorisation is
- 3
The divisors add up to 82764; without 50949 itself that is 31815, so 50949 is deficient (31815 is less than 50949). Euler's totient φ(50949) = 31104 numbers up to 50949 share no factor with it.
- 4
The digits of 50949 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50949 = 3^{4} \times 17 \times 37 \]50949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 82764 |
| Euler totient φ(n) | 31104 |
| Square | 2595800601 |
| Cube | 132253444820349 |
| Square root | 225.718852 (= 9√629) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.0949 × |
50949 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and forty-nine |
| Binary (base 2) | 1100011100000101 |
| Octal (base 8) | 143405 |
| Hexadecimal (base 16) | C705 |
| Base 3 | 2120220000 |
| As time | 50949 seconds = 14 h 9 min 9 s |
Is 50949 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 (50949 ÷ 3 = 16983) | 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50949 ÷ 9 = 5661) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 50949 a prime number?
No. 50949 = × 17 × 37, so it is divisible by 3.
What are the factors of 50949?
1, 3, 9, 17, 27, 37, 51, 81, 111, 153, 333, 459, 629, 999, 1377, 1887, 2997, 5661, 16983, 50949.
What is 50949 in binary?
1100011100000101 (hexadecimal C705, octal 143405).
What is the square root of 50949?
About 225.7189, exactly 9√629.
Is 50949 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 50949?
50949 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.