The number 48078
48078 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2671. Divisors (12): 1, 2, 3, 6, 9, 18, 2671, 5342, 8013, 16026, 24039, 48078.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48078: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48078 is composite. Its prime factorisation is
- 3
The divisors add up to 104208; without 48078 itself that is 56130, so 48078 is abundant (56130 is more than 48078). Euler's totient φ(48078) = 16020 numbers up to 48078 share no factor with it.
- 4
The digits of 48078 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48078 = 2 \times 3^{2} \times 2671 \]48078 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 104208 |
| Euler totient φ(n) | 16020 |
| Square | 2311494084 |
| Cube | 111132012570552 |
| Square root | 219.266961 (= 3√5342) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8078 × |
48078 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and seventy-eight |
| Binary (base 2) | 1011101111001110 |
| Octal (base 8) | 135716 |
| Hexadecimal (base 16) | BBCE |
| Base 3 | 2102221200 |
| As time | 48078 seconds = 13 h 21 min 18 s |
Is 48078 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48078 ÷ 2 = 24039) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48078 ÷ 3 = 16026) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48078 ÷ 6 = 8013) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (48078 ÷ 9 = 5342) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 48078 a prime number?
No. 48078 = 2 × × 2671, so it is divisible by 2.
What are the factors of 48078?
1, 2, 3, 6, 9, 18, 2671, 5342, 8013, 16026, 24039, 48078.
What is 48078 in binary?
1011101111001110 (hexadecimal BBCE, octal 135716).
What is the square root of 48078?
About 219.2670, exactly 3√5342.
Is 48078 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48078?
48078 is a happy number: repeatedly adding the squares of its digits reaches 1.