The number 48243
48243 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1237. Divisors (8): 1, 3, 13, 39, 1237, 3711, 16081, 48243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48243: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48243 is composite. Its prime factorisation is
- 3
The divisors add up to 69328; without 48243 itself that is 21085, so 48243 is deficient (21085 is less than 48243). Euler's totient φ(48243) = 29664 numbers up to 48243 share no factor with it.
- 4
The digits of 48243 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48243 = 3 \times 13 \times 1237 \]
48243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69328 |
| Euler totient φ(n) | 29664 |
| Square | 2327387049 |
| Cube | 112280133404907 |
| Square root | 219.642892 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8243 × |
48243 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and forty-three |
| Binary (base 2) | 1011110001110011 |
| Octal (base 8) | 136163 |
| Hexadecimal (base 16) | BC73 |
| Base 3 | 2110011210 |
| As time | 48243 seconds = 13 h 24 min 3 s |
Is 48243 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 (48243 ÷ 3 = 16081) | 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 6) | 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 | No (remainder 3) | 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 8) | 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 48243 a prime number?
No. 48243 = 3 × 13 × 1237, so it is divisible by 3.
What are the factors of 48243?
1, 3, 13, 39, 1237, 3711, 16081, 48243.
What is 48243 in binary?
1011110001110011 (hexadecimal BC73, octal 136163).
What is the square root of 48243?
About 219.6429.
Is 48243 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48243?
48243 is a happy number: repeatedly adding the squares of its digits reaches 1.