The number 54027
54027 is a composite number with 20 divisors. Its prime factorisation is × 23 × 29. Divisors (20): 1, 3, 9, 23, 27, 29, 69, 81, 87, 207, 261, 621, 667, 783, 1863, 2001 … 54027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54027: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
54027 is composite. Its prime factorisation is
- 3
The divisors add up to 87120; without 54027 itself that is 33093, so 54027 is deficient (33093 is less than 54027). Euler's totient φ(54027) = 33264 numbers up to 54027 share no factor with it.
- 4
The digits of 54027 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54027 = 3^{4} \times 23 \times 29 \]54027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 87120 |
| Euler totient φ(n) | 33264 |
| Square | 2918916729 |
| Cube | 157700314117683 |
| Square root | 232.437088 (= 9√667) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.4027 × |
54027 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and twenty-seven |
| Binary (base 2) | 1101001100001011 |
| Octal (base 8) | 151413 |
| Hexadecimal (base 16) | D30B |
| Base 3 | 2202010000 |
| As time | 54027 seconds = 15 h 0 min 27 s |
Is 54027 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 (54027 ÷ 3 = 18009) | 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 | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54027 ÷ 9 = 6003) | 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 6) | 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 54027 a prime number?
No. 54027 = × 23 × 29, so it is divisible by 3.
What are the factors of 54027?
1, 3, 9, 23, 27, 29, 69, 81, 87, 207, 261, 621, 667, 783, 1863, 2001, 2349, 6003, 18009, 54027.
What is 54027 in binary?
1101001100001011 (hexadecimal D30B, octal 151413).
What is the square root of 54027?
About 232.4371, exactly 9√667.
Is 54027 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54027?
54027 is a happy number: repeatedly adding the squares of its digits reaches 1.