The number 48164
48164 is a composite number with 6 divisors. Its prime factorisation is × 12041. Divisors (6): 1, 2, 4, 12041, 24082, 48164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48164: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48164 is composite. Its prime factorisation is
- 3
The divisors add up to 84294; without 48164 itself that is 36130, so 48164 is deficient (36130 is less than 48164). Euler's totient φ(48164) = 24080 numbers up to 48164 share no factor with it.
- 4
The digits of 48164 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48164 = 2^{2} \times 12041 \]48164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 84294 |
| Euler totient φ(n) | 24080 |
| Square | 2319770896 |
| Cube | 111729445434944 |
| Square root | 219.462981 (= 2√12041) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8164 × |
48164 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and sixty-four |
| Binary (base 2) | 1011110000100100 |
| Octal (base 8) | 136044 |
| Hexadecimal (base 16) | BC24 |
| Base 3 | 2110001212 |
| As time | 48164 seconds = 13 h 22 min 44 s |
Is 48164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48164 ÷ 2 = 24082) | 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 | Yes (48164 ÷ 4 = 12041) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48164 a prime number?
No. 48164 = × 12041, so it is divisible by 2.
What are the factors of 48164?
1, 2, 4, 12041, 24082, 48164.
What is 48164 in binary?
1011110000100100 (hexadecimal BC24, octal 136044).
What is the square root of 48164?
About 219.4630, exactly 2√12041.
Is 48164 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48164?
48164 is a happy number: repeatedly adding the squares of its digits reaches 1.