The number 83142
83142 is a composite number with 24 divisors. Its prime factorisation is 2 × × 31 × 149. Divisors (24): 1, 2, 3, 6, 9, 18, 31, 62, 93, 149, 186, 279, 298, 447, 558, 894 … 83142.
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How to work it out
- 1
What is special about 83142: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
83142 is composite. Its prime factorisation is
- 3
The divisors add up to 187200; without 83142 itself that is 104058, so 83142 is abundant (104058 is more than 83142). Euler's totient φ(83142) = 26640 numbers up to 83142 share no factor with it.
- 4
The digits of 83142 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83142 = 2 \times 3^{2} \times 31 \times 149 \]83142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 187200 |
| Euler totient φ(n) | 26640 |
| Square | 6912592164 |
| Cube | 574726737699288 |
| Square root | 288.343545 (= 3√9238) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3142 × |
83142 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and forty-two |
| Binary (base 2) | 10100010011000110 |
| Octal (base 8) | 242306 |
| Hexadecimal (base 16) | 144C6 |
| Base 3 | 11020001100 |
| As time | 83142 seconds = 23 h 5 min 42 s |
Is 83142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83142 ÷ 2 = 41571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83142 ÷ 3 = 27714) | 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 (83142 ÷ 6 = 13857) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (83142 ÷ 9 = 9238) | 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 83142 a prime number?
No. 83142 = 2 × × 31 × 149, so it is divisible by 2.
What are the factors of 83142?
1, 2, 3, 6, 9, 18, 31, 62, 93, 149, 186, 279, 298, 447, 558, 894, 1341, 2682, 4619, 9238, 13857, 27714, 41571, 83142.
What is 83142 in binary?
10100010011000110 (hexadecimal 144C6, octal 242306).
What is the square root of 83142?
About 288.3435, exactly 3√9238.
Is 83142 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 83142?
83142 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.