The number 48210
48210 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1607. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1607, 3214, 4821, 8035, 9642, 16070, 24105, 48210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48210: a Harshad number: divisible by its digit sum 15.
- 2
48210 is composite. Its prime factorisation is
- 3
The divisors add up to 115776; without 48210 itself that is 67566, so 48210 is abundant (67566 is more than 48210). Euler's totient φ(48210) = 12848 numbers up to 48210 share no factor with it.
- 4
The digits of 48210 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48210 = 2 \times 3 \times 5 \times 1607 \]
48210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 115776 |
| Euler totient φ(n) | 12848 |
| Square | 2324204100 |
| Cube | 112049879661000 |
| Square root | 219.567757 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.821 × |
48210 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and ten |
| Binary (base 2) | 1011110001010010 |
| Octal (base 8) | 136122 |
| Hexadecimal (base 16) | BC52 |
| Base 3 | 2110010120 |
| As time | 48210 seconds = 13 h 23 min 30 s |
Is 48210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48210 ÷ 2 = 24105) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48210 ÷ 3 = 16070) | 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 (48210 ÷ 5 = 9642) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48210 ÷ 6 = 8035) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48210 ÷ 10 = 4821) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 48210 a prime number?
No. 48210 = 2 × 3 × 5 × 1607, so it is divisible by 2.
What are the factors of 48210?
1, 2, 3, 5, 6, 10, 15, 30, 1607, 3214, 4821, 8035, 9642, 16070, 24105, 48210.
What is 48210 in binary?
1011110001010010 (hexadecimal BC52, octal 136122).
What is the square root of 48210?
About 219.5678.
Is 48210 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 48210?
48210 is a Harshad number: divisible by its digit sum 15.