The number 54142
54142 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 23 × 107. Divisors (16): 1, 2, 11, 22, 23, 46, 107, 214, 253, 506, 1177, 2354, 2461, 4922, 27071, 54142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54142 is composite. Its prime factorisation is
- 3
The divisors add up to 93312; without 54142 itself that is 39170, so 54142 is deficient (39170 is less than 54142). Euler's totient φ(54142) = 23320 numbers up to 54142 share no factor with it.
- 4
The digits of 54142 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54142 = 2 \times 11 \times 23 \times 107 \]
54142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93312 |
| Euler totient φ(n) | 23320 |
| Square | 2931356164 |
| Cube | 158709485431288 |
| Square root | 232.684336 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.4142 × |
54142 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand one hundred and forty-two |
| Binary (base 2) | 1101001101111110 |
| Octal (base 8) | 151576 |
| Hexadecimal (base 16) | D37E |
| Base 3 | 2202021021 |
| As time | 54142 seconds = 15 h 2 min 22 s |
Is 54142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54142 ÷ 2 = 27071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (54142 ÷ 11 = 4922) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54142 a prime number?
No. 54142 = 2 × 11 × 23 × 107, so it is divisible by 2.
What are the factors of 54142?
1, 2, 11, 22, 23, 46, 107, 214, 253, 506, 1177, 2354, 2461, 4922, 27071, 54142.
What is 54142 in binary?
1101001101111110 (hexadecimal D37E, octal 151576).
What is the square root of 54142?
About 232.6843.
Is 54142 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 54142?
It is a composite number with 16 divisors.