The number 53342
53342 is a composite number with 8 divisors. Its prime factorisation is 2 × 149 × 179. Divisors (8): 1, 2, 149, 179, 298, 358, 26671, 53342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53342 is composite. Its prime factorisation is
- 3
The divisors add up to 81000; without 53342 itself that is 27658, so 53342 is deficient (27658 is less than 53342). Euler's totient φ(53342) = 26344 numbers up to 53342 share no factor with it.
- 4
The digits of 53342 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53342 = 2 \times 149 \times 179 \]
53342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81000 |
| Euler totient φ(n) | 26344 |
| Square | 2845368964 |
| Cube | 151777671277688 |
| Square root | 230.958871 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3342 × |
53342 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and forty-two |
| Binary (base 2) | 1101000001011110 |
| Octal (base 8) | 150136 |
| Hexadecimal (base 16) | D05E |
| Base 3 | 2201011122 |
| As time | 53342 seconds = 14 h 49 min 2 s |
Is 53342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53342 ÷ 2 = 26671) | 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 2) | 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 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 53342 a prime number?
No. 53342 = 2 × 149 × 179, so it is divisible by 2.
What are the factors of 53342?
1, 2, 149, 179, 298, 358, 26671, 53342.
What is 53342 in binary?
1101000001011110 (hexadecimal D05E, octal 150136).
What is the square root of 53342?
About 230.9589.
Is 53342 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 53342?
It is a composite number with 8 divisors.