The number 48460
48460 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2423. Divisors (12): 1, 2, 4, 5, 10, 20, 2423, 4846, 9692, 12115, 24230, 48460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48460 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48460 is composite. Its prime factorisation is
- 3
The divisors add up to 101808; without 48460 itself that is 53348, so 48460 is abundant (53348 is more than 48460). Euler's totient φ(48460) = 19376 numbers up to 48460 share no factor with it.
- 4
The digits of 48460 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48460 = 2^{2} \times 5 \times 2423 \]48460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 101808 |
| Euler totient φ(n) | 19376 |
| Square | 2348371600 |
| Cube | 113802087736000 |
| Square root | 220.136321 (= 2√12115) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.846 × |
48460 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and sixty |
| Binary (base 2) | 1011110101001100 |
| Octal (base 8) | 136514 |
| Hexadecimal (base 16) | BD4C |
| Base 3 | 2110110211 |
| As time | 48460 seconds = 13 h 27 min 40 s |
Is 48460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48460 ÷ 2 = 24230) | 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 (48460 ÷ 4 = 12115) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48460 ÷ 5 = 9692) | 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 | 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 4) | 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 | Yes (48460 ÷ 10 = 4846) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 48460 a prime number?
No. 48460 = × 5 × 2423, so it is divisible by 2.
What are the factors of 48460?
1, 2, 4, 5, 10, 20, 2423, 4846, 9692, 12115, 24230, 48460.
What is 48460 in binary?
1011110101001100 (hexadecimal BD4C, octal 136514).
What is the square root of 48460?
About 220.1363, exactly 2√12115.
Is 48460 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48460?
It is a composite number with 12 divisors.