The number 17342
17342 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 23 × 29. Divisors (16): 1, 2, 13, 23, 26, 29, 46, 58, 299, 377, 598, 667, 754, 1334, 8671, 17342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17342: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17342 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 17342 itself that is 12898, so 17342 is deficient (12898 is less than 17342). Euler's totient φ(17342) = 7392 numbers up to 17342 share no factor with it.
- 4
The digits of 17342 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17342 = 2 \times 13 \times 23 \times 29 \]
17342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 7392 |
| Square | 300744964 |
| Cube | 5215519165688 |
| Square root | 131.689028 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.7342 × |
17342 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and forty-two |
| Binary (base 2) | 100001110111110 |
| Octal (base 8) | 41676 |
| Hexadecimal (base 16) | 43BE |
| Base 3 | 212210022 |
| As time | 17342 seconds = 4 h 49 min 2 s |
Is 17342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17342 ÷ 2 = 8671) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 17342 a prime number?
No. 17342 = 2 × 13 × 23 × 29, so it is divisible by 2.
What are the factors of 17342?
1, 2, 13, 23, 26, 29, 46, 58, 299, 377, 598, 667, 754, 1334, 8671, 17342.
What is 17342 in binary?
100001110111110 (hexadecimal 43BE, octal 41676).
What is the square root of 17342?
About 131.6890.
Is 17342 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 17342?
17342 is a happy number: repeatedly adding the squares of its digits reaches 1.