The number 73042
73042 is a composite number with 8 divisors. Its prime factorisation is 2 × 59 × 619. Divisors (8): 1, 2, 59, 118, 619, 1238, 36521, 73042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73042 is composite. Its prime factorisation is
- 3
The divisors add up to 111600; without 73042 itself that is 38558, so 73042 is deficient (38558 is less than 73042). Euler's totient φ(73042) = 35844 numbers up to 73042 share no factor with it.
- 4
The digits of 73042 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73042 = 2 \times 59 \times 619 \]
73042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 111600 |
| Euler totient φ(n) | 35844 |
| Square | 5335133764 |
| Cube | 389688840390088 |
| Square root | 270.262835 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3042 × |
73042 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and forty-two |
| Binary (base 2) | 10001110101010010 |
| Octal (base 8) | 216522 |
| Hexadecimal (base 16) | 11D52 |
| Base 3 | 10201012021 |
| As time | 73042 seconds = 20 h 17 min 22 s |
Is 73042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73042 ÷ 2 = 36521) | 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 2) | 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 | No (remainder 2) | 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 73042 a prime number?
No. 73042 = 2 × 59 × 619, so it is divisible by 2.
What are the factors of 73042?
1, 2, 59, 118, 619, 1238, 36521, 73042.
What is 73042 in binary?
10001110101010010 (hexadecimal 11D52, octal 216522).
What is the square root of 73042?
About 270.2628.
Is 73042 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73042?
It is a composite number with 8 divisors.