The number 48496
48496 is a composite number with 20 divisors. Its prime factorisation is × 7 × 433. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 433, 866, 1732, 3031, 3464, 6062 … 48496.
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How to work it out
- 1
48496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48496 is composite. Its prime factorisation is
- 3
The divisors add up to 107632; without 48496 itself that is 59136, so 48496 is abundant (59136 is more than 48496). Euler's totient φ(48496) = 20736 numbers up to 48496 share no factor with it.
- 4
The digits of 48496 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48496 = 2^{4} \times 7 \times 433 \]48496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 107632 |
| Euler totient φ(n) | 20736 |
| Square | 2351862016 |
| Cube | 114055900327936 |
| Square root | 220.218074 (= 4√3031) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8496 × |
48496 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and ninety-six |
| Binary (base 2) | 1011110101110000 |
| Octal (base 8) | 136560 |
| Hexadecimal (base 16) | BD70 |
| Base 3 | 2110112011 |
| As time | 48496 seconds = 13 h 28 min 16 s |
Is 48496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48496 ÷ 2 = 24248) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48496 ÷ 4 = 12124) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48496 ÷ 7 = 6928) | 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 (48496 ÷ 8 = 6062) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48496 a prime number?
No. 48496 = × 7 × 433, so it is divisible by 2.
What are the factors of 48496?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 433, 866, 1732, 3031, 3464, 6062, 6928, 12124, 24248, 48496.
What is 48496 in binary?
1011110101110000 (hexadecimal BD70, octal 136560).
What is the square root of 48496?
About 220.2181, exactly 4√3031.
Is 48496 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 48496?
It is a composite number with 20 divisors.