The number 48204
48204 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 103. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 103, 117 … 48204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48204: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
48204 is composite. Its prime factorisation is
- 3
The divisors add up to 132496; without 48204 itself that is 84292, so 48204 is abundant (84292 is more than 48204). Euler's totient φ(48204) = 14688 numbers up to 48204 share no factor with it.
- 4
The digits of 48204 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48204 = 2^{2} \times 3^{2} \times 13 \times 103 \]48204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 132496 |
| Euler totient φ(n) | 14688 |
| Square | 2323625616 |
| Cube | 112008049193664 |
| Square root | 219.554094 (= 6√1339) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8204 × |
48204 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and four |
| Binary (base 2) | 1011110001001100 |
| Octal (base 8) | 136114 |
| Hexadecimal (base 16) | BC4C |
| Base 3 | 2110010100 |
| As time | 48204 seconds = 13 h 23 min 24 s |
Is 48204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48204 ÷ 2 = 24102) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48204 ÷ 3 = 16068) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48204 ÷ 4 = 12051) | 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 | Yes (48204 ÷ 6 = 8034) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (48204 ÷ 9 = 5356) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48204 ÷ 12 = 4017) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48204 a prime number?
No. 48204 = × × 13 × 103, so it is divisible by 2.
What are the factors of 48204?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 103, 117, 156, 206, 234, 309, 412, 468, 618, 927, 1236, 1339, 1854, 2678, 3708, 4017, 5356, 8034, 12051, 16068, 24102, 48204.
What is 48204 in binary?
1011110001001100 (hexadecimal BC4C, octal 136114).
What is the square root of 48204?
About 219.5541, exactly 6√1339.
Is 48204 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48204?
48204 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.