The number 73842
73842 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 31 × 397. Divisors (16): 1, 2, 3, 6, 31, 62, 93, 186, 397, 794, 1191, 2382, 12307, 24614, 36921, 73842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73842 is composite. Its prime factorisation is
- 3
The divisors add up to 152832; without 73842 itself that is 78990, so 73842 is abundant (78990 is more than 73842). Euler's totient φ(73842) = 23760 numbers up to 73842 share no factor with it.
- 4
The digits of 73842 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73842 = 2 \times 3 \times 31 \times 397 \]
73842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 152832 |
| Euler totient φ(n) | 23760 |
| Square | 5452640964 |
| Cube | 402633914063688 |
| Square root | 271.738845 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3842 × |
73842 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and forty-two |
| Binary (base 2) | 10010000001110010 |
| Octal (base 8) | 220162 |
| Hexadecimal (base 16) | 12072 |
| Base 3 | 10202021220 |
| As time | 73842 seconds = 20 h 30 min 42 s |
Is 73842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73842 ÷ 2 = 36921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73842 ÷ 3 = 24614) | 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 (73842 ÷ 6 = 12307) | 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 2) | 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 10) | 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 73842 a prime number?
No. 73842 = 2 × 3 × 31 × 397, so it is divisible by 2.
What are the factors of 73842?
1, 2, 3, 6, 31, 62, 93, 186, 397, 794, 1191, 2382, 12307, 24614, 36921, 73842.
What is 73842 in binary?
10010000001110010 (hexadecimal 12072, octal 220162).
What is the square root of 73842?
About 271.7388.
Is 73842 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 73842?
It is a composite number with 16 divisors.