The number 53442
53442 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2969. Divisors (12): 1, 2, 3, 6, 9, 18, 2969, 5938, 8907, 17814, 26721, 53442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53442: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
53442 is composite. Its prime factorisation is
- 3
The divisors add up to 115830; without 53442 itself that is 62388, so 53442 is abundant (62388 is more than 53442). Euler's totient φ(53442) = 17808 numbers up to 53442 share no factor with it.
- 4
The digits of 53442 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53442 = 2 \times 3^{2} \times 2969 \]53442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 115830 |
| Euler totient φ(n) | 17808 |
| Square | 2856047364 |
| Cube | 152632883226888 |
| Square root | 231.175258 (= 3√5938) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 215 |
| Scientific notation | 5.3442 × |
53442 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and forty-two |
| Binary (base 2) | 1101000011000010 |
| Octal (base 8) | 150302 |
| Hexadecimal (base 16) | D0C2 |
| Base 3 | 2201022100 |
| As time | 53442 seconds = 14 h 50 min 42 s |
Is 53442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53442 ÷ 2 = 26721) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53442 ÷ 3 = 17814) | 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 | Yes (53442 ÷ 6 = 8907) | 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 | Yes (53442 ÷ 9 = 5938) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53442 a prime number?
No. 53442 = 2 × × 2969, so it is divisible by 2.
What are the factors of 53442?
1, 2, 3, 6, 9, 18, 2969, 5938, 8907, 17814, 26721, 53442.
What is 53442 in binary?
1101000011000010 (hexadecimal D0C2, octal 150302).
What is the square root of 53442?
About 231.1753, exactly 3√5938.
Is 53442 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53442?
53442 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.