The number 17020
17020 is a triangular number: 1 + 2 + … + 184 = 17020. Its prime factorisation is × 5 × 23 × 37. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 37, 46, 74, 92, 115, 148, 185, 230, 370 … 17020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17020: a triangular number: 1 + 2 + … + 184 = 17020; a Harshad number: divisible by its digit sum 10.
- 2
17020 is composite. Its prime factorisation is
- 3
The divisors add up to 38304; without 17020 itself that is 21284, so 17020 is abundant (21284 is more than 17020). Euler's totient φ(17020) = 6336 numbers up to 17020 share no factor with it.
- 4
The digits of 17020 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 203 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17020 = 2^{2} \times 5 \times 23 \times 37 \]17020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 38304 |
| Euler totient φ(n) | 6336 |
| Square | 289680400 |
| Cube | 4930360408000 |
| Square root | 130.460722 (= 2√4255) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 203 |
| Scientific notation | 1.702 × |
17020 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and twenty |
| Binary (base 2) | 100001001111100 |
| Octal (base 8) | 41174 |
| Hexadecimal (base 16) | 427C |
| Base 3 | 212100101 |
| As time | 17020 seconds = 4 h 43 min 40 s |
Is 17020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17020 ÷ 2 = 8510) | 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 (17020 ÷ 4 = 4255) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17020 ÷ 5 = 3404) | 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 3) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17020 ÷ 10 = 1702) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17020 a prime number?
No. 17020 = × 5 × 23 × 37, so it is divisible by 2.
What are the factors of 17020?
1, 2, 4, 5, 10, 20, 23, 37, 46, 74, 92, 115, 148, 185, 230, 370, 460, 740, 851, 1702, 3404, 4255, 8510, 17020.
What is 17020 in binary?
100001001111100 (hexadecimal 427C, octal 41174).
What is the square root of 17020?
About 130.4607, exactly 2√4255.
Is 17020 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 17020?
17020 is a triangular number: 1 + 2 + … + 184 = 17020; a Harshad number: divisible by its digit sum 10.