The number 27354
27354 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 47 × 97. Divisors (16): 1, 2, 3, 6, 47, 94, 97, 141, 194, 282, 291, 582, 4559, 9118, 13677, 27354.
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How to work it out
- 1
What is special about 27354: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27354 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 27354 itself that is 29094, so 27354 is abundant (29094 is more than 27354). Euler's totient φ(27354) = 8832 numbers up to 27354 share no factor with it.
- 4
The digits of 27354 add up to 21, 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
\[ 27354 = 2 \times 3 \times 47 \times 97 \]
27354 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 8832 |
| Square | 748241316 |
| Cube | 20467392957864 |
| Square root | 165.390447 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7354 × |
27354 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and fifty-four |
| Binary (base 2) | 110101011011010 |
| Octal (base 8) | 65332 |
| Hexadecimal (base 16) | 6ADA |
| Base 3 | 1101112010 |
| As time | 27354 seconds = 7 h 35 min 54 s |
Is 27354 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27354 ÷ 2 = 13677) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27354 ÷ 3 = 9118) | 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 (27354 ÷ 6 = 4559) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 8) | 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 27354 a prime number?
No. 27354 = 2 × 3 × 47 × 97, so it is divisible by 2.
What are the factors of 27354?
1, 2, 3, 6, 47, 94, 97, 141, 194, 282, 291, 582, 4559, 9118, 13677, 27354.
What is 27354 in binary?
110101011011010 (hexadecimal 6ADA, octal 65332).
What is the square root of 27354?
About 165.3904.
Is 27354 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27354?
27354 is a happy number: repeatedly adding the squares of its digits reaches 1.