The number 17042
17042 is a composite number with 4 divisors. Its prime factorisation is 2 × 8521. Divisors (4): 1, 2, 8521, 17042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17042: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 8521, the product of two primes.
- 2
17042 is composite. Its prime factorisation is
- 3
The divisors add up to 25566; without 17042 itself that is 8524, so 17042 is deficient (8524 is less than 17042). Euler's totient φ(17042) = 8520 numbers up to 17042 share no factor with it.
- 4
The digits of 17042 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17042 = 2 \times 8521 \]
17042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 25566 |
| Euler totient φ(n) | 8520 |
| Square | 290429764 |
| Cube | 4949504038088 |
| Square root | 130.545011 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7042 × |
17042 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and forty-two |
| Binary (base 2) | 100001010010010 |
| Octal (base 8) | 41222 |
| Hexadecimal (base 16) | 4292 |
| Base 3 | 212101012 |
| As time | 17042 seconds = 4 h 44 min 2 s |
Is 17042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17042 ÷ 2 = 8521) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 2) | 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 | No (remainder 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17042 a prime number?
No. 17042 = 2 × 8521, so it is divisible by 2.
What are the factors of 17042?
1, 2, 8521, 17042.
What is 17042 in binary?
100001010010010 (hexadecimal 4292, octal 41222).
What is the square root of 17042?
About 130.5450.
Is 17042 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 17042?
17042 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 8521, the product of two primes.