The number 46950
46950 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 313. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 313, 626, 939, 1565 … 46950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46950 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46950 is composite. Its prime factorisation is
- 3
The divisors add up to 116808; without 46950 itself that is 69858, so 46950 is abundant (69858 is more than 46950). Euler's totient φ(46950) = 12480 numbers up to 46950 share no factor with it.
- 4
The digits of 46950 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46950 = 2 \times 3 \times 5^{2} \times 313 \]46950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 116808 |
| Euler totient φ(n) | 12480 |
| Square | 2204302500 |
| Cube | 103492002375000 |
| Square root | 216.679487 (= 5√1878) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.695 × |
46950 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and fifty |
| Binary (base 2) | 1011011101100110 |
| Octal (base 8) | 133546 |
| Hexadecimal (base 16) | B766 |
| Base 3 | 2101101220 |
| As time | 46950 seconds = 13 h 2 min 30 s |
Is 46950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46950 ÷ 2 = 23475) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46950 ÷ 3 = 15650) | 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 | Yes (46950 ÷ 5 = 9390) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46950 ÷ 6 = 7825) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46950 ÷ 10 = 4695) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46950 a prime number?
No. 46950 = 2 × 3 × × 313, so it is divisible by 2.
What are the factors of 46950?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 313, 626, 939, 1565, 1878, 3130, 4695, 7825, 9390, 15650, 23475, 46950.
What is 46950 in binary?
1011011101100110 (hexadecimal B766, octal 133546).
What is the square root of 46950?
About 216.6795, exactly 5√1878.
Is 46950 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46950?
It is a composite number with 24 divisors.