The number 35342
35342 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 431. Divisors (8): 1, 2, 41, 82, 431, 862, 17671, 35342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35342 is composite. Its prime factorisation is
- 3
The divisors add up to 54432; without 35342 itself that is 19090, so 35342 is deficient (19090 is less than 35342). Euler's totient φ(35342) = 17200 numbers up to 35342 share no factor with it.
- 4
The digits of 35342 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35342 = 2 \times 41 \times 431 \]
35342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54432 |
| Euler totient φ(n) | 17200 |
| Square | 1249056964 |
| Cube | 44144171221688 |
| Square root | 187.994681 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5342 × |
35342 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and forty-two |
| Binary (base 2) | 1000101000001110 |
| Octal (base 8) | 105016 |
| Hexadecimal (base 16) | 8A0E |
| Base 3 | 1210110222 |
| As time | 35342 seconds = 9 h 49 min 2 s |
Is 35342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35342 ÷ 2 = 17671) | 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 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 | 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 10) | 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 35342 a prime number?
No. 35342 = 2 × 41 × 431, so it is divisible by 2.
What are the factors of 35342?
1, 2, 41, 82, 431, 862, 17671, 35342.
What is 35342 in binary?
1000101000001110 (hexadecimal 8A0E, octal 105016).
What is the square root of 35342?
About 187.9947.
Is 35342 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 35342?
It is a composite number with 8 divisors.