The number 48396
48396 is a composite number with 24 divisors. Its prime factorisation is × 3 × 37 × 109. Divisors (24): 1, 2, 3, 4, 6, 12, 37, 74, 109, 111, 148, 218, 222, 327, 436, 444 … 48396.
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How to work it out
- 1
48396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48396 is composite. Its prime factorisation is
- 3
The divisors add up to 117040; without 48396 itself that is 68644, so 48396 is abundant (68644 is more than 48396). Euler's totient φ(48396) = 15552 numbers up to 48396 share no factor with it.
- 4
The digits of 48396 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48396 = 2^{2} \times 3 \times 37 \times 109 \]48396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 117040 |
| Euler totient φ(n) | 15552 |
| Square | 2342172816 |
| Cube | 113351795603136 |
| Square root | 219.990909 (= 2√12099) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8396 × |
48396 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and ninety-six |
| Binary (base 2) | 1011110100001100 |
| Octal (base 8) | 136414 |
| Hexadecimal (base 16) | BD0C |
| Base 3 | 2110101110 |
| As time | 48396 seconds = 13 h 26 min 36 s |
Is 48396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48396 ÷ 2 = 24198) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48396 ÷ 3 = 16132) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48396 ÷ 4 = 12099) | 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 | Yes (48396 ÷ 6 = 8066) | 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48396 ÷ 12 = 4033) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48396 a prime number?
No. 48396 = × 3 × 37 × 109, so it is divisible by 2.
What are the factors of 48396?
1, 2, 3, 4, 6, 12, 37, 74, 109, 111, 148, 218, 222, 327, 436, 444, 654, 1308, 4033, 8066, 12099, 16132, 24198, 48396.
What is 48396 in binary?
1011110100001100 (hexadecimal BD0C, octal 136414).
What is the square root of 48396?
About 219.9909, exactly 2√12099.
Is 48396 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48396?
It is a composite number with 24 divisors.