The number 73142
73142 is a composite number with 4 divisors. Its prime factorisation is 2 × 36571. Divisors (4): 1, 2, 36571, 73142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73142: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36571, the product of two primes.
- 2
73142 is composite. Its prime factorisation is
- 3
The divisors add up to 109716; without 73142 itself that is 36574, so 73142 is deficient (36574 is less than 73142). Euler's totient φ(73142) = 36570 numbers up to 73142 share no factor with it.
- 4
The digits of 73142 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73142 = 2 \times 36571 \]
73142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 109716 |
| Euler totient φ(n) | 36570 |
| Square | 5349752164 |
| Cube | 391291572779288 |
| Square root | 270.447777 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 148 |
| Scientific notation | 7.3142 × |
73142 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and forty-two |
| Binary (base 2) | 10001110110110110 |
| Octal (base 8) | 216666 |
| Hexadecimal (base 16) | 11DB6 |
| Base 3 | 10201022222 |
| As time | 73142 seconds = 20 h 19 min 2 s |
Is 73142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73142 ÷ 2 = 36571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | 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 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73142 a prime number?
No. 73142 = 2 × 36571, so it is divisible by 2.
What are the factors of 73142?
1, 2, 36571, 73142.
What is 73142 in binary?
10001110110110110 (hexadecimal 11DB6, octal 216666).
What is the square root of 73142?
About 270.4478.
Is 73142 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73142?
73142 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36571, the product of two primes.