The number 48378
48378 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 733. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 733, 1466, 2199, 4398, 8063, 16126, 24189, 48378.
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How to work it out
- 1
48378 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48378 is composite. Its prime factorisation is
- 3
The divisors add up to 105696; without 48378 itself that is 57318, so 48378 is abundant (57318 is more than 48378). Euler's totient φ(48378) = 14640 numbers up to 48378 share no factor with it.
- 4
The digits of 48378 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48378 = 2 \times 3 \times 11 \times 733 \]
48378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 105696 |
| Euler totient φ(n) | 14640 |
| Square | 2340430884 |
| Cube | 113225365306152 |
| Square root | 219.949994 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8378 × |
48378 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and seventy-eight |
| Binary (base 2) | 1011110011111010 |
| Octal (base 8) | 136372 |
| Hexadecimal (base 16) | BCFA |
| Base 3 | 2110100210 |
| As time | 48378 seconds = 13 h 26 min 18 s |
Is 48378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48378 ÷ 2 = 24189) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48378 ÷ 3 = 16126) | 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 (48378 ÷ 6 = 8063) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48378 ÷ 11 = 4398) | 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 48378 a prime number?
No. 48378 = 2 × 3 × 11 × 733, so it is divisible by 2.
What are the factors of 48378?
1, 2, 3, 6, 11, 22, 33, 66, 733, 1466, 2199, 4398, 8063, 16126, 24189, 48378.
What is 48378 in binary?
1011110011111010 (hexadecimal BCFA, octal 136372).
What is the square root of 48378?
About 219.9500.
Is 48378 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48378?
It is a composite number with 16 divisors.