The number 17240
17240 is a composite number with 16 divisors. Its prime factorisation is × 5 × 431. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 431, 862, 1724, 2155, 3448, 4310, 8620, 17240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17240: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17240 is composite. Its prime factorisation is
- 3
The divisors add up to 38880; without 17240 itself that is 21640, so 17240 is abundant (21640 is more than 17240). Euler's totient φ(17240) = 6880 numbers up to 17240 share no factor with it.
- 4
The digits of 17240 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17240 = 2^{3} \times 5 \times 431 \]17240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 38880 |
| Euler totient φ(n) | 6880 |
| Square | 297217600 |
| Cube | 5124031424000 |
| Square root | 131.301180 (= 2√4310) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.724 × |
17240 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand two hundred and forty |
| Binary (base 2) | 100001101011000 |
| Octal (base 8) | 41530 |
| Hexadecimal (base 16) | 4358 |
| Base 3 | 212122112 |
| As time | 17240 seconds = 4 h 47 min 20 s |
Is 17240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17240 ÷ 2 = 8620) | 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 (17240 ÷ 4 = 4310) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17240 ÷ 5 = 3448) | 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 6) | 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 (17240 ÷ 8 = 2155) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17240 ÷ 10 = 1724) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17240 a prime number?
No. 17240 = × 5 × 431, so it is divisible by 2.
What are the factors of 17240?
1, 2, 4, 5, 8, 10, 20, 40, 431, 862, 1724, 2155, 3448, 4310, 8620, 17240.
What is 17240 in binary?
100001101011000 (hexadecimal 4358, octal 41530).
What is the square root of 17240?
About 131.3012, exactly 2√4310.
Is 17240 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 17240?
17240 is a happy number: repeatedly adding the squares of its digits reaches 1.