The number 48102
48102 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 8017. Divisors (8): 1, 2, 3, 6, 8017, 16034, 24051, 48102.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48102 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48102 is composite. Its prime factorisation is
- 3
The divisors add up to 96216; without 48102 itself that is 48114, so 48102 is abundant (48114 is more than 48102). Euler's totient φ(48102) = 16032 numbers up to 48102 share no factor with it.
- 4
The digits of 48102 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48102 = 2 \times 3 \times 8017 \]
48102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 96216 |
| Euler totient φ(n) | 16032 |
| Square | 2313802404 |
| Cube | 111298523237208 |
| Square root | 219.321682 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8102 × |
48102 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and two |
| Binary (base 2) | 1011101111100110 |
| Octal (base 8) | 135746 |
| Hexadecimal (base 16) | BBE6 |
| Base 3 | 2102222120 |
| As time | 48102 seconds = 13 h 21 min 42 s |
Is 48102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48102 ÷ 2 = 24051) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48102 ÷ 3 = 16034) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48102 ÷ 6 = 8017) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 48102 a prime number?
No. 48102 = 2 × 3 × 8017, so it is divisible by 2.
What are the factors of 48102?
1, 2, 3, 6, 8017, 16034, 24051, 48102.
What is 48102 in binary?
1011101111100110 (hexadecimal BBE6, octal 135746).
What is the square root of 48102?
About 219.3217.
Is 48102 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 48102?
It is a composite number with 8 divisors.