The number 17048
17048 is a composite number with 8 divisors. Its prime factorisation is × 2131. Divisors (8): 1, 2, 4, 8, 2131, 4262, 8524, 17048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17048: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17048 is composite. Its prime factorisation is
- 3
The divisors add up to 31980; without 17048 itself that is 14932, so 17048 is deficient (14932 is less than 17048). Euler's totient φ(17048) = 8520 numbers up to 17048 share no factor with it.
- 4
The digits of 17048 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17048 = 2^{3} \times 2131 \]17048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31980 |
| Euler totient φ(n) | 8520 |
| Square | 290634304 |
| Cube | 4954733614592 |
| Square root | 130.567990 (= 2√4262) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7048 × |
17048 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and forty-eight |
| Binary (base 2) | 100001010011000 |
| Octal (base 8) | 41230 |
| Hexadecimal (base 16) | 4298 |
| Base 3 | 212101102 |
| As time | 17048 seconds = 4 h 44 min 8 s |
Is 17048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17048 ÷ 2 = 8524) | 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 (17048 ÷ 4 = 4262) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | Yes (17048 ÷ 8 = 2131) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 17048 a prime number?
No. 17048 = × 2131, so it is divisible by 2.
What are the factors of 17048?
1, 2, 4, 8, 2131, 4262, 8524, 17048.
What is 17048 in binary?
100001010011000 (hexadecimal 4298, octal 41230).
What is the square root of 17048?
About 130.5680, exactly 2√4262.
Is 17048 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 17048?
17048 is a happy number: repeatedly adding the squares of its digits reaches 1.