The number 80142
80142 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 37. Divisors (24): 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 361, 703, 722, 1083 … 80142.
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How to work it out
- 1
80142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80142 is composite. Its prime factorisation is
- 3
The divisors add up to 173736; without 80142 itself that is 93594, so 80142 is abundant (93594 is more than 80142). Euler's totient φ(80142) = 24624 numbers up to 80142 share no factor with it.
- 4
The digits of 80142 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80142 = 2 \times 3 \times 19^{2} \times 37 \]80142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 173736 |
| Euler totient φ(n) | 24624 |
| Square | 6422740164 |
| Cube | 514731242223288 |
| Square root | 283.093624 (= 19√222) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0142 × |
80142 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and forty-two |
| Binary (base 2) | 10011100100001110 |
| Octal (base 8) | 234416 |
| Hexadecimal (base 16) | 1390E |
| Base 3 | 11001221020 |
| As time | 80142 seconds = 22 h 15 min 42 s |
Is 80142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80142 ÷ 2 = 40071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80142 ÷ 3 = 26714) | 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 (80142 ÷ 6 = 13357) | 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 6) | 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 7) | 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 80142 a prime number?
No. 80142 = 2 × 3 × × 37, so it is divisible by 2.
What are the factors of 80142?
1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 361, 703, 722, 1083, 1406, 2109, 2166, 4218, 13357, 26714, 40071, 80142.
What is 80142 in binary?
10011100100001110 (hexadecimal 1390E, octal 234416).
What is the square root of 80142?
About 283.0936, exactly 19√222.
Is 80142 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 80142?
It is a composite number with 24 divisors.