The number 48810
48810 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1627. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1627, 3254, 4881, 8135, 9762, 16270, 24405, 48810.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48810 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48810 is composite. Its prime factorisation is
- 3
The divisors add up to 117216; without 48810 itself that is 68406, so 48810 is abundant (68406 is more than 48810). Euler's totient φ(48810) = 13008 numbers up to 48810 share no factor with it.
- 4
The digits of 48810 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48810 = 2 \times 3 \times 5 \times 1627 \]
48810 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 117216 |
| Euler totient φ(n) | 13008 |
| Square | 2382416100 |
| Cube | 116285729841000 |
| Square root | 220.929853 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.881 × |
48810 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and ten |
| Binary (base 2) | 1011111010101010 |
| Octal (base 8) | 137252 |
| Hexadecimal (base 16) | BEAA |
| Base 3 | 2110221210 |
| As time | 48810 seconds = 13 h 33 min 30 s |
Is 48810 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48810 ÷ 2 = 24405) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48810 ÷ 3 = 16270) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48810 ÷ 5 = 9762) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48810 ÷ 6 = 8135) | 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 2) | 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 | Yes (48810 ÷ 10 = 4881) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48810 a prime number?
No. 48810 = 2 × 3 × 5 × 1627, so it is divisible by 2.
What are the factors of 48810?
1, 2, 3, 5, 6, 10, 15, 30, 1627, 3254, 4881, 8135, 9762, 16270, 24405, 48810.
What is 48810 in binary?
1011111010101010 (hexadecimal BEAA, octal 137252).
What is the square root of 48810?
About 220.9299.
Is 48810 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48810?
It is a composite number with 16 divisors.