The number 27924
27924 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 179. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 179, 358, 537, 716 … 27924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27924 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 27924 itself that is 42636, so 27924 is abundant (42636 is more than 27924). Euler's totient φ(27924) = 8544 numbers up to 27924 share no factor with it.
- 4
The digits of 27924 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27924 = 2^{2} \times 3 \times 13 \times 179 \]27924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 8544 |
| Square | 779749776 |
| Cube | 21773732745024 |
| Square root | 167.104758 (= 2√6981) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7924 × |
27924 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and twenty-four |
| Binary (base 2) | 110110100010100 |
| Octal (base 8) | 66424 |
| Hexadecimal (base 16) | 6D14 |
| Base 3 | 1102022020 |
| As time | 27924 seconds = 7 h 45 min 24 s |
Is 27924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27924 ÷ 2 = 13962) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27924 ÷ 3 = 9308) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27924 ÷ 4 = 6981) | 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 | Yes (27924 ÷ 6 = 4654) | 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 4) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27924 ÷ 12 = 2327) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27924 a prime number?
No. 27924 = × 3 × 13 × 179, so it is divisible by 2.
What are the factors of 27924?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 179, 358, 537, 716, 1074, 2148, 2327, 4654, 6981, 9308, 13962, 27924.
What is 27924 in binary?
110110100010100 (hexadecimal 6D14, octal 66424).
What is the square root of 27924?
About 167.1048, exactly 2√6981.
Is 27924 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27924?
It is a composite number with 24 divisors.