The number 73942
73942 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 3361. Divisors (8): 1, 2, 11, 22, 3361, 6722, 36971, 73942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73942 is composite. Its prime factorisation is
- 3
The divisors add up to 121032; without 73942 itself that is 47090, so 73942 is deficient (47090 is less than 73942). Euler's totient φ(73942) = 33600 numbers up to 73942 share no factor with it.
- 4
The digits of 73942 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73942 = 2 \times 11 \times 3361 \]
73942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 121032 |
| Euler totient φ(n) | 33600 |
| Square | 5467419364 |
| Cube | 404271922612888 |
| Square root | 271.922783 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.3942 × |
73942 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and forty-two |
| Binary (base 2) | 10010000011010110 |
| Octal (base 8) | 220326 |
| Hexadecimal (base 16) | 120D6 |
| Base 3 | 10202102121 |
| As time | 73942 seconds = 20 h 32 min 22 s |
Is 73942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73942 ÷ 2 = 36971) | 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 1) | 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 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 | Yes (73942 ÷ 11 = 6722) | 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 73942 a prime number?
No. 73942 = 2 × 11 × 3361, so it is divisible by 2.
What are the factors of 73942?
1, 2, 11, 22, 3361, 6722, 36971, 73942.
What is 73942 in binary?
10010000011010110 (hexadecimal 120D6, octal 220326).
What is the square root of 73942?
About 271.9228.
Is 73942 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 73942?
It is a composite number with 8 divisors.