The number 23142
23142 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 19 × 29. Divisors (32): 1, 2, 3, 6, 7, 14, 19, 21, 29, 38, 42, 57, 58, 87, 114, 133 … 23142.
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How to work it out
- 1
23142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23142 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 23142 itself that is 34458, so 23142 is abundant (34458 is more than 23142). Euler's totient φ(23142) = 6048 numbers up to 23142 share no factor with it.
- 4
The digits of 23142 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23142 = 2 \times 3 \times 7 \times 19 \times 29 \]
23142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 6048 |
| Square | 535552164 |
| Cube | 12393748179288 |
| Square root | 152.124949 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.3142 × |
23142 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand one hundred and forty-two |
| Binary (base 2) | 101101001100110 |
| Octal (base 8) | 55146 |
| Hexadecimal (base 16) | 5A66 |
| Base 3 | 1011202010 |
| As time | 23142 seconds = 6 h 25 min 42 s |
Is 23142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23142 ÷ 2 = 11571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23142 ÷ 3 = 7714) | 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 (23142 ÷ 6 = 3857) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (23142 ÷ 7 = 3306) | 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 3) | 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 9) | 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 23142 a prime number?
No. 23142 = 2 × 3 × 7 × 19 × 29, so it is divisible by 2.
What are the factors of 23142?
1, 2, 3, 6, 7, 14, 19, 21, 29, 38, 42, 57, 58, 87, 114, 133, 174, 203, 266, 399, 406, 551, 609, 798, 1102, 1218, 1653, 3306, 3857, 7714, 11571, 23142.
What is 23142 in binary?
101101001100110 (hexadecimal 5A66, octal 55146).
What is the square root of 23142?
About 152.1249.
Is 23142 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 23142?
It is a composite number with 32 divisors.