The number 48340
48340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2417. Divisors (12): 1, 2, 4, 5, 10, 20, 2417, 4834, 9668, 12085, 24170, 48340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48340 is composite. Its prime factorisation is
- 3
The divisors add up to 101556; without 48340 itself that is 53216, so 48340 is abundant (53216 is more than 48340). Euler's totient φ(48340) = 19328 numbers up to 48340 share no factor with it.
- 4
The digits of 48340 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48340 = 2^{2} \times 5 \times 2417 \]48340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 101556 |
| Euler totient φ(n) | 19328 |
| Square | 2336755600 |
| Cube | 112958765704000 |
| Square root | 219.863594 (= 2√12085) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.834 × |
48340 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and forty |
| Binary (base 2) | 1011110011010100 |
| Octal (base 8) | 136324 |
| Hexadecimal (base 16) | BCD4 |
| Base 3 | 2110022101 |
| As time | 48340 seconds = 13 h 25 min 40 s |
Is 48340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48340 ÷ 2 = 24170) | 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 (48340 ÷ 4 = 12085) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48340 ÷ 5 = 9668) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48340 ÷ 10 = 4834) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 48340 a prime number?
No. 48340 = × 5 × 2417, so it is divisible by 2.
What are the factors of 48340?
1, 2, 4, 5, 10, 20, 2417, 4834, 9668, 12085, 24170, 48340.
What is 48340 in binary?
1011110011010100 (hexadecimal BCD4, octal 136324).
What is the square root of 48340?
About 219.8636, exactly 2√12085.
Is 48340 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 48340?
It is a composite number with 12 divisors.