The number 48495
48495 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 53 × 61. Divisors (16): 1, 3, 5, 15, 53, 61, 159, 183, 265, 305, 795, 915, 3233, 9699, 16165, 48495.
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How to work it out
- 1
48495 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48495 is composite. Its prime factorisation is
- 3
The divisors add up to 80352; without 48495 itself that is 31857, so 48495 is deficient (31857 is less than 48495). Euler's totient φ(48495) = 24960 numbers up to 48495 share no factor with it.
- 4
The digits of 48495 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48495 = 3 \times 5 \times 53 \times 61 \]
48495 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80352 |
| Euler totient φ(n) | 24960 |
| Square | 2351765025 |
| Cube | 114048844887375 |
| Square root | 220.215803 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8495 × |
48495 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and ninety-five |
| Binary (base 2) | 1011110101101111 |
| Octal (base 8) | 136557 |
| Hexadecimal (base 16) | BD6F |
| Base 3 | 2110112010 |
| As time | 48495 seconds = 13 h 28 min 15 s |
Is 48495 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 (48495 ÷ 3 = 16165) | 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 | Yes (48495 ÷ 5 = 9699) | 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 7) | 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 5) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48495 a prime number?
No. 48495 = 3 × 5 × 53 × 61, so it is divisible by 3.
What are the factors of 48495?
1, 3, 5, 15, 53, 61, 159, 183, 265, 305, 795, 915, 3233, 9699, 16165, 48495.
What is 48495 in binary?
1011110101101111 (hexadecimal BD6F, octal 136557).
What is the square root of 48495?
About 220.2158.
Is 48495 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48495?
It is a composite number with 16 divisors.