The number 48146
48146 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 19 × 181. Divisors (16): 1, 2, 7, 14, 19, 38, 133, 181, 266, 362, 1267, 2534, 3439, 6878, 24073, 48146.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48146: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48146 is composite. Its prime factorisation is
- 3
The divisors add up to 87360; without 48146 itself that is 39214, so 48146 is deficient (39214 is less than 48146). Euler's totient φ(48146) = 19440 numbers up to 48146 share no factor with it.
- 4
The digits of 48146 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
\[ 48146 = 2 \times 7 \times 19 \times 181 \]
48146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87360 |
| Euler totient φ(n) | 19440 |
| Square | 2318037316 |
| Cube | 111604224616136 |
| Square root | 219.421968 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8146 × |
48146 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and forty-six |
| Binary (base 2) | 1011110000010010 |
| Octal (base 8) | 136022 |
| Hexadecimal (base 16) | BC12 |
| Base 3 | 2110001012 |
| As time | 48146 seconds = 13 h 22 min 26 s |
Is 48146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48146 ÷ 2 = 24073) | 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 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48146 ÷ 7 = 6878) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48146 a prime number?
No. 48146 = 2 × 7 × 19 × 181, so it is divisible by 2.
What are the factors of 48146?
1, 2, 7, 14, 19, 38, 133, 181, 266, 362, 1267, 2534, 3439, 6878, 24073, 48146.
What is 48146 in binary?
1011110000010010 (hexadecimal BC12, octal 136022).
What is the square root of 48146?
About 219.4220.
Is 48146 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48146?
48146 is a happy number: repeatedly adding the squares of its digits reaches 1.