The number 27950
27950 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 43. Divisors (24): 1, 2, 5, 10, 13, 25, 26, 43, 50, 65, 86, 130, 215, 325, 430, 559 … 27950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27950 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27950 is composite. Its prime factorisation is
- 3
The divisors add up to 57288; without 27950 itself that is 29338, so 27950 is abundant (29338 is more than 27950). Euler's totient φ(27950) = 10080 numbers up to 27950 share no factor with it.
- 4
The digits of 27950 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27950 = 2 \times 5^{2} \times 13 \times 43 \]27950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 57288 |
| Euler totient φ(n) | 10080 |
| Square | 781202500 |
| Cube | 21834609875000 |
| Square root | 167.182535 (= 5√1118) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.795 × |
27950 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and fifty |
| Binary (base 2) | 110110100101110 |
| Octal (base 8) | 66456 |
| Hexadecimal (base 16) | 6D2E |
| Base 3 | 1102100012 |
| As time | 27950 seconds = 7 h 45 min 50 s |
Is 27950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27950 ÷ 2 = 13975) | 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 | Yes (27950 ÷ 5 = 5590) | 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 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 6) | 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 | Yes (27950 ÷ 10 = 2795) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 27950 a prime number?
No. 27950 = 2 × × 13 × 43, so it is divisible by 2.
What are the factors of 27950?
1, 2, 5, 10, 13, 25, 26, 43, 50, 65, 86, 130, 215, 325, 430, 559, 650, 1075, 1118, 2150, 2795, 5590, 13975, 27950.
What is 27950 in binary?
110110100101110 (hexadecimal 6D2E, octal 66456).
What is the square root of 27950?
About 167.1825, exactly 5√1118.
Is 27950 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27950?
It is a composite number with 24 divisors.