The number 92742
92742 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 13 × 29 × 41. Divisors (32): 1, 2, 3, 6, 13, 26, 29, 39, 41, 58, 78, 82, 87, 123, 174, 246 … 92742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
92742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
92742 is composite. Its prime factorisation is
- 3
The divisors add up to 211680; without 92742 itself that is 118938, so 92742 is abundant (118938 is more than 92742). Euler's totient φ(92742) = 26880 numbers up to 92742 share no factor with it.
- 4
The digits of 92742 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 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 92742 = 2 \times 3 \times 13 \times 29 \times 41 \]
92742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 211680 |
| Euler totient φ(n) | 26880 |
| Square | 8601078564 |
| Cube | 797681228182488 |
| Square root | 304.535712 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.2742 × |
92742 in other forms
| Form | Value |
|---|---|
| In words | ninety-two thousand seven hundred and forty-two |
| Binary (base 2) | 10110101001000110 |
| Octal (base 8) | 265106 |
| Hexadecimal (base 16) | 16A46 |
| Base 3 | 11201012220 |
| As time | 92742 seconds = 25 h 45 min 42 s |
Is 92742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (92742 ÷ 2 = 46371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (92742 ÷ 3 = 30914) | 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 (92742 ÷ 6 = 15457) | 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 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 1) | 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 92742 a prime number?
No. 92742 = 2 × 3 × 13 × 29 × 41, so it is divisible by 2.
What are the factors of 92742?
1, 2, 3, 6, 13, 26, 29, 39, 41, 58, 78, 82, 87, 123, 174, 246, 377, 533, 754, 1066, 1131, 1189, 1599, 2262, 2378, 3198, 3567, 7134, 15457, 30914, 46371, 92742.
What is 92742 in binary?
10110101001000110 (hexadecimal 16A46, octal 265106).
What is the square root of 92742?
About 304.5357.
Is 92742 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 92742?
It is a composite number with 32 divisors.