The number 48696
48696 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2029. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2029, 4058, 6087, 8116, 12174, 16232, 24348, 48696.
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How to work it out
- 1
48696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48696 is composite. Its prime factorisation is
- 3
The divisors add up to 121800; without 48696 itself that is 73104, so 48696 is abundant (73104 is more than 48696). Euler's totient φ(48696) = 16224 numbers up to 48696 share no factor with it.
- 4
The digits of 48696 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48696 = 2^{3} \times 3 \times 2029 \]48696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 121800 |
| Euler totient φ(n) | 16224 |
| Square | 2371300416 |
| Cube | 115472845057536 |
| Square root | 220.671702 (= 2√12174) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8696 × |
48696 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and ninety-six |
| Binary (base 2) | 1011111000111000 |
| Octal (base 8) | 137070 |
| Hexadecimal (base 16) | BE38 |
| Base 3 | 2110210120 |
| As time | 48696 seconds = 13 h 31 min 36 s |
Is 48696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48696 ÷ 2 = 24348) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48696 ÷ 3 = 16232) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48696 ÷ 4 = 12174) | 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 (48696 ÷ 6 = 8116) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (48696 ÷ 8 = 6087) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (48696 ÷ 12 = 4058) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48696 a prime number?
No. 48696 = × 3 × 2029, so it is divisible by 2.
What are the factors of 48696?
1, 2, 3, 4, 6, 8, 12, 24, 2029, 4058, 6087, 8116, 12174, 16232, 24348, 48696.
What is 48696 in binary?
1011111000111000 (hexadecimal BE38, octal 137070).
What is the square root of 48696?
About 220.6717, exactly 2√12174.
Is 48696 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 48696?
It is a composite number with 16 divisors.