The number 17200
17200 is a composite number with 30 divisors. Its prime factorisation is × × 43. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 43, 50, 80, 86, 100, 172 … 17200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17200: a Harshad number: divisible by its digit sum 10.
- 2
17200 is composite. Its prime factorisation is
- 3
The divisors add up to 42284; without 17200 itself that is 25084, so 17200 is abundant (25084 is more than 17200). Euler's totient φ(17200) = 6720 numbers up to 17200 share no factor with it.
- 4
The digits of 17200 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 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17200 = 2^{4} \times 5^{2} \times 43 \]17200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 42284 |
| Euler totient φ(n) | 6720 |
| Square | 295840000 |
| Cube | 5088448000000 |
| Square root | 131.148770 (= 20√43) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.72 × |
17200 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand two hundred |
| Binary (base 2) | 100001100110000 |
| Octal (base 8) | 41460 |
| Hexadecimal (base 16) | 4330 |
| Base 3 | 212121001 |
| As time | 17200 seconds = 4 h 46 min 40 s |
Is 17200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17200 ÷ 2 = 8600) | 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 (17200 ÷ 4 = 4300) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17200 ÷ 5 = 3440) | 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 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 | Yes (17200 ÷ 8 = 2150) | 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 (17200 ÷ 10 = 1720) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 17200 a prime number?
No. 17200 = × × 43, so it is divisible by 2.
What are the factors of 17200?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 43, 50, 80, 86, 100, 172, 200, 215, 344, 400, 430, 688, 860, 1075, 1720, 2150, 3440, 4300, 8600, 17200.
What is 17200 in binary?
100001100110000 (hexadecimal 4330, octal 41460).
What is the square root of 17200?
About 131.1488, exactly 20√43.
Is 17200 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 17200?
17200 is a Harshad number: divisible by its digit sum 10.