The number 48123
48123 is a composite number with 6 divisors. Its prime factorisation is × 5347. Divisors (6): 1, 3, 9, 5347, 16041, 48123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48123: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48123 is composite. Its prime factorisation is
- 3
The divisors add up to 69524; without 48123 itself that is 21401, so 48123 is deficient (21401 is less than 48123). Euler's totient φ(48123) = 32076 numbers up to 48123 share no factor with it.
- 4
The digits of 48123 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48123 = 3^{2} \times 5347 \]48123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 69524 |
| Euler totient φ(n) | 32076 |
| Square | 2315823129 |
| Cube | 111444356436867 |
| Square root | 219.369551 (= 3√5347) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8123 × |
48123 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and twenty-three |
| Binary (base 2) | 1011101111111011 |
| Octal (base 8) | 135773 |
| Hexadecimal (base 16) | BBFB |
| Base 3 | 2110000100 |
| As time | 48123 seconds = 13 h 22 min 3 s |
Is 48123 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 | Yes (48123 ÷ 3 = 16041) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48123 ÷ 9 = 5347) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48123 a prime number?
No. 48123 = × 5347, so it is divisible by 3.
What are the factors of 48123?
1, 3, 9, 5347, 16041, 48123.
What is 48123 in binary?
1011101111111011 (hexadecimal BBFB, octal 135773).
What is the square root of 48123?
About 219.3696, exactly 3√5347.
Is 48123 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48123?
48123 is a happy number: repeatedly adding the squares of its digits reaches 1.