The number 92442
92442 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 31 × 71. Divisors (32): 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 71, 93, 142, 186, 213, 217 … 92442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 92442: a Harshad number: divisible by its digit sum 21.
- 2
92442 is composite. Its prime factorisation is
- 3
The divisors add up to 221184; without 92442 itself that is 128742, so 92442 is abundant (128742 is more than 92442). Euler's totient φ(92442) = 25200 numbers up to 92442 share no factor with it.
- 4
The digits of 92442 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 92442 = 2 \times 3 \times 7 \times 31 \times 71 \]
92442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 221184 |
| Euler totient φ(n) | 25200 |
| Square | 8545523364 |
| Cube | 789965270814888 |
| Square root | 304.042760 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.2442 × |
92442 in other forms
| Form | Value |
|---|---|
| In words | ninety-two thousand four hundred and forty-two |
| Binary (base 2) | 10110100100011010 |
| Octal (base 8) | 264432 |
| Hexadecimal (base 16) | 1691A |
| Base 3 | 11200210210 |
| As time | 92442 seconds = 25 h 40 min 42 s |
Is 92442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (92442 ÷ 2 = 46221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (92442 ÷ 3 = 30814) | 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 (92442 ÷ 6 = 15407) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (92442 ÷ 7 = 13206) | 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 3) | 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 9) | 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 92442 a prime number?
No. 92442 = 2 × 3 × 7 × 31 × 71, so it is divisible by 2.
What are the factors of 92442?
1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 71, 93, 142, 186, 213, 217, 426, 434, 497, 651, 994, 1302, 1491, 2201, 2982, 4402, 6603, 13206, 15407, 30814, 46221, 92442.
What is 92442 in binary?
10110100100011010 (hexadecimal 1691A, octal 264432).
What is the square root of 92442?
About 304.0428.
Is 92442 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 92442?
92442 is a Harshad number: divisible by its digit sum 21.