The number 50660
50660 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 149. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 149, 170, 298, 340, 596, 745 … 50660.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50660: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
50660 is composite. Its prime factorisation is
- 3
The divisors add up to 113400; without 50660 itself that is 62740, so 50660 is abundant (62740 is more than 50660). Euler's totient φ(50660) = 18944 numbers up to 50660 share no factor with it.
- 4
The digits of 50660 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50660 = 2^{2} \times 5 \times 17 \times 149 \]50660 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 113400 |
| Euler totient φ(n) | 18944 |
| Square | 2566435600 |
| Cube | 130015627496000 |
| Square root | 225.077764 (= 2√12665) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.066 × |
50660 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand six hundred and sixty |
| Binary (base 2) | 1100010111100100 |
| Octal (base 8) | 142744 |
| Hexadecimal (base 16) | C5E4 |
| Base 3 | 2120111022 |
| As time | 50660 seconds = 14 h 4 min 20 s |
Is 50660 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50660 ÷ 2 = 25330) | 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 (50660 ÷ 4 = 12665) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50660 ÷ 5 = 10132) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50660 ÷ 10 = 5066) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 50660 a prime number?
No. 50660 = × 5 × 17 × 149, so it is divisible by 2.
What are the factors of 50660?
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 149, 170, 298, 340, 596, 745, 1490, 2533, 2980, 5066, 10132, 12665, 25330, 50660.
What is 50660 in binary?
1100010111100100 (hexadecimal C5E4, octal 142744).
What is the square root of 50660?
About 225.0778, exactly 2√12665.
Is 50660 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 50660?
50660 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.