The number 27948
27948 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 137. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 137, 204, 274, 411, 548 … 27948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27948 is composite. Its prime factorisation is
- 3
The divisors add up to 69552; without 27948 itself that is 41604, so 27948 is abundant (41604 is more than 27948). Euler's totient φ(27948) = 8704 numbers up to 27948 share no factor with it.
- 4
The digits of 27948 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27948 = 2^{2} \times 3 \times 17 \times 137 \]27948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 69552 |
| Euler totient φ(n) | 8704 |
| Square | 781090704 |
| Cube | 21829922995392 |
| Square root | 167.176553 (= 2√6987) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7948 × |
27948 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and forty-eight |
| Binary (base 2) | 110110100101100 |
| Octal (base 8) | 66454 |
| Hexadecimal (base 16) | 6D2C |
| Base 3 | 1102100010 |
| As time | 27948 seconds = 7 h 45 min 48 s |
Is 27948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27948 ÷ 2 = 13974) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27948 ÷ 3 = 9316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27948 ÷ 4 = 6987) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27948 ÷ 6 = 4658) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 8) | 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 | Yes (27948 ÷ 12 = 2329) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27948 a prime number?
No. 27948 = × 3 × 17 × 137, so it is divisible by 2.
What are the factors of 27948?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 137, 204, 274, 411, 548, 822, 1644, 2329, 4658, 6987, 9316, 13974, 27948.
What is 27948 in binary?
110110100101100 (hexadecimal 6D2C, octal 66454).
What is the square root of 27948?
About 167.1766, exactly 2√6987.
Is 27948 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 27948?
It is a composite number with 24 divisors.