The number 48380
48380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 41 × 59. Divisors (24): 1, 2, 4, 5, 10, 20, 41, 59, 82, 118, 164, 205, 236, 295, 410, 590 … 48380.
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How to work it out
- 1
48380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48380 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 48380 itself that is 57460, so 48380 is abundant (57460 is more than 48380). Euler's totient φ(48380) = 18560 numbers up to 48380 share no factor with it.
- 4
The digits of 48380 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48380 = 2^{2} \times 5 \times 41 \times 59 \]48380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 18560 |
| Square | 2340624400 |
| Cube | 113239408472000 |
| Square root | 219.954541 (= 2√12095) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.838 × |
48380 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and eighty |
| Binary (base 2) | 1011110011111100 |
| Octal (base 8) | 136374 |
| Hexadecimal (base 16) | BCFC |
| Base 3 | 2110100212 |
| As time | 48380 seconds = 13 h 26 min 20 s |
Is 48380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48380 ÷ 2 = 24190) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48380 ÷ 4 = 12095) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48380 ÷ 5 = 9676) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48380 ÷ 10 = 4838) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48380 a prime number?
No. 48380 = × 5 × 41 × 59, so it is divisible by 2.
What are the factors of 48380?
1, 2, 4, 5, 10, 20, 41, 59, 82, 118, 164, 205, 236, 295, 410, 590, 820, 1180, 2419, 4838, 9676, 12095, 24190, 48380.
What is 48380 in binary?
1011110011111100 (hexadecimal BCFC, octal 136374).
What is the square root of 48380?
About 219.9545, exactly 2√12095.
Is 48380 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48380?
It is a composite number with 24 divisors.