The number 48620
48620 is a composite number with 48 divisors. Its prime factorisation is × 5 × 11 × 13 × 17. Divisors (48): 1, 2, 4, 5, 10, 11, 13, 17, 20, 22, 26, 34, 44, 52, 55, 65 … 48620.
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How to work it out
- 1
What is special about 48620: a Harshad number: divisible by its digit sum 20.
- 2
48620 is composite. Its prime factorisation is
- 3
The divisors add up to 127008; without 48620 itself that is 78388, so 48620 is abundant (78388 is more than 48620). Euler's totient φ(48620) = 15360 numbers up to 48620 share no factor with it.
- 4
The digits of 48620 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48620 = 2^{2} \times 5 \times 11 \times 13 \times 17 \]48620 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 127008 |
| Euler totient φ(n) | 15360 |
| Square | 2363904400 |
| Cube | 114933031928000 |
| Square root | 220.499433 (= 2√12155) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.862 × |
48620 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and twenty |
| Binary (base 2) | 1011110111101100 |
| Octal (base 8) | 136754 |
| Hexadecimal (base 16) | BDEC |
| Base 3 | 2110200202 |
| As time | 48620 seconds = 13 h 30 min 20 s |
Is 48620 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48620 ÷ 2 = 24310) | 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 (48620 ÷ 4 = 12155) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48620 ÷ 5 = 9724) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48620 ÷ 10 = 4862) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48620 ÷ 11 = 4420) | 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 48620 a prime number?
No. 48620 = × 5 × 11 × 13 × 17, so it is divisible by 2.
What are the factors of 48620?
1, 2, 4, 5, 10, 11, 13, 17, 20, 22, 26, 34, 44, 52, 55, 65, 68, 85, 110, 130, 143, 170, 187, 220, 221, 260, 286, 340, 374, 442, 572, 715, 748, 884, 935, 1105, 1430, 1870, 2210, 2431, 2860, 3740, 4420, 4862, 9724, 12155, 24310, 48620.
What is 48620 in binary?
1011110111101100 (hexadecimal BDEC, octal 136754).
What is the square root of 48620?
About 220.4994, exactly 2√12155.
Is 48620 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48620?
48620 is a Harshad number: divisible by its digit sum 20.