The number 48846
48846 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1163. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1163, 2326, 3489, 6978, 8141, 16282, 24423, 48846.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48846 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48846 is composite. Its prime factorisation is
- 3
The divisors add up to 111744; without 48846 itself that is 62898, so 48846 is abundant (62898 is more than 48846). Euler's totient φ(48846) = 13944 numbers up to 48846 share no factor with it.
- 4
The digits of 48846 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48846 = 2 \times 3 \times 7 \times 1163 \]
48846 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 111744 |
| Euler totient φ(n) | 13944 |
| Square | 2385931716 |
| Cube | 116543220599736 |
| Square root | 221.011312 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.8846 × |
48846 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and forty-six |
| Binary (base 2) | 1011111011001110 |
| Octal (base 8) | 137316 |
| Hexadecimal (base 16) | BECE |
| Base 3 | 2111000010 |
| As time | 48846 seconds = 13 h 34 min 6 s |
Is 48846 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48846 ÷ 2 = 24423) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48846 ÷ 3 = 16282) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48846 ÷ 6 = 8141) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48846 ÷ 7 = 6978) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 48846 a prime number?
No. 48846 = 2 × 3 × 7 × 1163, so it is divisible by 2.
What are the factors of 48846?
1, 2, 3, 6, 7, 14, 21, 42, 1163, 2326, 3489, 6978, 8141, 16282, 24423, 48846.
What is 48846 in binary?
1011111011001110 (hexadecimal BECE, octal 137316).
What is the square root of 48846?
About 221.0113.
Is 48846 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48846?
It is a composite number with 16 divisors.