The number 48678
48678 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 19 × 61. Divisors (32): 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 61, 114, 122, 133, 183 … 48678.
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How to work it out
- 1
48678 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48678 is composite. Its prime factorisation is
- 3
The divisors add up to 119040; without 48678 itself that is 70362, so 48678 is abundant (70362 is more than 48678). Euler's totient φ(48678) = 12960 numbers up to 48678 share no factor with it.
- 4
The digits of 48678 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48678 = 2 \times 3 \times 7 \times 19 \times 61 \]
48678 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 119040 |
| Euler totient φ(n) | 12960 |
| Square | 2369547684 |
| Cube | 115344842161752 |
| Square root | 220.630914 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8678 × |
48678 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and seventy-eight |
| Binary (base 2) | 1011111000100110 |
| Octal (base 8) | 137046 |
| Hexadecimal (base 16) | BE26 |
| Base 3 | 2110202220 |
| As time | 48678 seconds = 13 h 31 min 18 s |
Is 48678 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48678 ÷ 2 = 24339) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48678 ÷ 3 = 16226) | 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 (48678 ÷ 6 = 8113) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48678 ÷ 7 = 6954) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 48678 a prime number?
No. 48678 = 2 × 3 × 7 × 19 × 61, so it is divisible by 2.
What are the factors of 48678?
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 61, 114, 122, 133, 183, 266, 366, 399, 427, 798, 854, 1159, 1281, 2318, 2562, 3477, 6954, 8113, 16226, 24339, 48678.
What is 48678 in binary?
1011111000100110 (hexadecimal BE26, octal 137046).
What is the square root of 48678?
About 220.6309.
Is 48678 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 48678?
It is a composite number with 32 divisors.