The number 27474
27474 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 241. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 241, 482, 723, 1446, 4579, 9158, 13737, 27474.
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How to work it out
- 1
27474 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27474 is composite. Its prime factorisation is
- 3
The divisors add up to 58080; without 27474 itself that is 30606, so 27474 is abundant (30606 is more than 27474). Euler's totient φ(27474) = 8640 numbers up to 27474 share no factor with it.
- 4
The digits of 27474 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27474 = 2 \times 3 \times 19 \times 241 \]
27474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58080 |
| Euler totient φ(n) | 8640 |
| Square | 754820676 |
| Cube | 20737943252424 |
| Square root | 165.752828 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.7474 × |
27474 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and seventy-four |
| Binary (base 2) | 110101101010010 |
| Octal (base 8) | 65522 |
| Hexadecimal (base 16) | 6B52 |
| Base 3 | 1101200120 |
| As time | 27474 seconds = 7 h 37 min 54 s |
Is 27474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27474 ÷ 2 = 13737) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27474 ÷ 3 = 9158) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27474 ÷ 6 = 4579) | 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 2) | 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 7) | 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 27474 a prime number?
No. 27474 = 2 × 3 × 19 × 241, so it is divisible by 2.
What are the factors of 27474?
1, 2, 3, 6, 19, 38, 57, 114, 241, 482, 723, 1446, 4579, 9158, 13737, 27474.
What is 27474 in binary?
110101101010010 (hexadecimal 6B52, octal 65522).
What is the square root of 27474?
About 165.7528.
Is 27474 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27474?
It is a composite number with 16 divisors.