The number 48246
48246 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 11 × 17 × 43. Divisors (32): 1, 2, 3, 6, 11, 17, 22, 33, 34, 43, 51, 66, 86, 102, 129, 187 … 48246.
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How to work it out
- 1
48246 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48246 is composite. Its prime factorisation is
- 3
The divisors add up to 114048; without 48246 itself that is 65802, so 48246 is abundant (65802 is more than 48246). Euler's totient φ(48246) = 13440 numbers up to 48246 share no factor with it.
- 4
The digits of 48246 add up to 24, 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
\[ 48246 = 2 \times 3 \times 11 \times 17 \times 43 \]
48246 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 114048 |
| Euler totient φ(n) | 13440 |
| Square | 2327676516 |
| Cube | 112301081190936 |
| Square root | 219.649721 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8246 × |
48246 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and forty-six |
| Binary (base 2) | 1011110001110110 |
| Octal (base 8) | 136166 |
| Hexadecimal (base 16) | BC76 |
| Base 3 | 2110011220 |
| As time | 48246 seconds = 13 h 24 min 6 s |
Is 48246 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48246 ÷ 2 = 24123) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48246 ÷ 3 = 16082) | 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 (48246 ÷ 6 = 8041) | 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 | No (remainder 6) | 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 | Yes (48246 ÷ 11 = 4386) | 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 48246 a prime number?
No. 48246 = 2 × 3 × 11 × 17 × 43, so it is divisible by 2.
What are the factors of 48246?
1, 2, 3, 6, 11, 17, 22, 33, 34, 43, 51, 66, 86, 102, 129, 187, 258, 374, 473, 561, 731, 946, 1122, 1419, 1462, 2193, 2838, 4386, 8041, 16082, 24123, 48246.
What is 48246 in binary?
1011110001110110 (hexadecimal BC76, octal 136166).
What is the square root of 48246?
About 219.6497.
Is 48246 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48246?
It is a composite number with 32 divisors.