The number 48167
48167 is a composite number with 6 divisors. Its prime factorisation is Ć 983. Divisors (6): 1, 7, 49, 983, 6881, 48167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48167 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48167 is composite. Its prime factorisation is
- 3
The divisors add up to 56088; without 48167 itself that is 7921, so 48167 is deficient (7921 is less than 48167). Euler's totient Ļ(48167) = 41244 numbers up to 48167 share no factor with it.
- 4
The digits of 48167 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48167 = 7^{2} \times 983 \]48167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 56088 |
| Euler totient Ļ(n) | 41244 |
| Square | 2320059889 |
| Cube | 111750324673463 |
| Square root | 219.469816 (= 7ā983) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8167 Ć |
48167 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and sixty-seven |
| Binary (base 2) | 1011110000100111 |
| Octal (base 8) | 136047 |
| Hexadecimal (base 16) | BC27 |
| Base 3 | 2110001222 |
| As time | 48167 seconds = 13 h 22 min 47 s |
Is 48167 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48167 Ć· 7 = 6881) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48167 a prime number?
No. 48167 = Ć 983, so it is divisible by 7.
What are the factors of 48167?
1, 7, 49, 983, 6881, 48167.
What is 48167 in binary?
1011110000100111 (hexadecimal BC27, octal 136047).
What is the square root of 48167?
About 219.4698, exactly 7ā983.
Is 48167 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 48167?
It is a composite number with 6 divisors.