The number 48027
48027 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2287. Divisors (8): 1, 3, 7, 21, 2287, 6861, 16009, 48027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48027: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
48027 is composite. Its prime factorisation is
- 3
The divisors add up to 73216; without 48027 itself that is 25189, so 48027 is deficient (25189 is less than 48027). Euler's totient φ(48027) = 27432 numbers up to 48027 share no factor with it.
- 4
The digits of 48027 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48027 = 3 \times 7 \times 2287 \]
48027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 73216 |
| Euler totient φ(n) | 27432 |
| Square | 2306592729 |
| Cube | 110778728995683 |
| Square root | 219.150633 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.8027 × |
48027 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and twenty-seven |
| Binary (base 2) | 1011101110011011 |
| Octal (base 8) | 135633 |
| Hexadecimal (base 16) | BB9B |
| Base 3 | 2102212210 |
| As time | 48027 seconds = 13 h 20 min 27 s |
Is 48027 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 (48027 ÷ 3 = 16009) | 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 (48027 ÷ 7 = 6861) | 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 | 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 1) | 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 48027 a prime number?
No. 48027 = 3 × 7 × 2287, so it is divisible by 3.
What are the factors of 48027?
1, 3, 7, 21, 2287, 6861, 16009, 48027.
What is 48027 in binary?
1011101110011011 (hexadecimal BB9B, octal 135633).
What is the square root of 48027?
About 219.1506.
Is 48027 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48027?
48027 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.