The number 48280
48280 is a composite number with 32 divisors. Its prime factorisation is × 5 × 17 × 71. Divisors (32): 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 71, 85, 136, 142, 170 … 48280.
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How to work it out
- 1
48280 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48280 is composite. Its prime factorisation is
- 3
The divisors add up to 116640; without 48280 itself that is 68360, so 48280 is abundant (68360 is more than 48280). Euler's totient φ(48280) = 17920 numbers up to 48280 share no factor with it.
- 4
The digits of 48280 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48280 = 2^{3} \times 5 \times 17 \times 71 \]48280 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 116640 |
| Euler totient φ(n) | 17920 |
| Square | 2330958400 |
| Cube | 112538671552000 |
| Square root | 219.727103 (= 2√12070) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.828 × |
48280 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and eighty |
| Binary (base 2) | 1011110010011000 |
| Octal (base 8) | 136230 |
| Hexadecimal (base 16) | BC98 |
| Base 3 | 2110020011 |
| As time | 48280 seconds = 13 h 24 min 40 s |
Is 48280 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48280 ÷ 2 = 24140) | 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 (48280 ÷ 4 = 12070) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48280 ÷ 5 = 9656) | 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 1) | 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 (48280 ÷ 8 = 6035) | 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 (48280 ÷ 10 = 4828) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 48280 a prime number?
No. 48280 = × 5 × 17 × 71, so it is divisible by 2.
What are the factors of 48280?
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 71, 85, 136, 142, 170, 284, 340, 355, 568, 680, 710, 1207, 1420, 2414, 2840, 4828, 6035, 9656, 12070, 24140, 48280.
What is 48280 in binary?
1011110010011000 (hexadecimal BC98, octal 136230).
What is the square root of 48280?
About 219.7271, exactly 2√12070.
Is 48280 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48280?
It is a composite number with 32 divisors.