The number 54327
54327 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 13 × 199. Divisors (16): 1, 3, 7, 13, 21, 39, 91, 199, 273, 597, 1393, 2587, 4179, 7761, 18109, 54327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54327: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
54327 is composite. Its prime factorisation is
- 3
The divisors add up to 89600; without 54327 itself that is 35273, so 54327 is deficient (35273 is less than 54327). Euler's totient φ(54327) = 28512 numbers up to 54327 share no factor with it.
- 4
The digits of 54327 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54327 = 3 \times 7 \times 13 \times 199 \]
54327 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 89600 |
| Euler totient φ(n) | 28512 |
| Square | 2951422929 |
| Cube | 160341953463783 |
| Square root | 233.081531 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.4327 × |
54327 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand three hundred and twenty-seven |
| Binary (base 2) | 1101010000110111 |
| Octal (base 8) | 152067 |
| Hexadecimal (base 16) | D437 |
| Base 3 | 2202112010 |
| As time | 54327 seconds = 15 h 5 min 27 s |
Is 54327 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54327 ÷ 3 = 18109) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54327 ÷ 7 = 7761) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54327 a prime number?
No. 54327 = 3 × 7 × 13 × 199, so it is divisible by 3.
What are the factors of 54327?
1, 3, 7, 13, 21, 39, 91, 199, 273, 597, 1393, 2587, 4179, 7761, 18109, 54327.
What is 54327 in binary?
1101010000110111 (hexadecimal D437, octal 152067).
What is the square root of 54327?
About 233.0815.
Is 54327 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 54327?
54327 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.