The number 90342
90342 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 239. Divisors (32): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 239 … 90342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90342: a Harshad number: divisible by its digit sum 18.
- 2
90342 is composite. Its prime factorisation is
- 3
The divisors add up to 230400; without 90342 itself that is 140058, so 90342 is abundant (140058 is more than 90342). Euler's totient φ(90342) = 25704 numbers up to 90342 share no factor with it.
- 4
The digits of 90342 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90342 = 2 \times 3^{3} \times 7 \times 239 \]90342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 230400 |
| Euler totient φ(n) | 25704 |
| Square | 8161676964 |
| Cube | 737342220281688 |
| Square root | 300.569460 (= 3√10038) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 9.0342 × |
90342 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand three hundred and forty-two |
| Binary (base 2) | 10110000011100110 |
| Octal (base 8) | 260346 |
| Hexadecimal (base 16) | 160E6 |
| Base 3 | 11120221000 |
| As time | 90342 seconds = 25 h 5 min 42 s |
Is 90342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90342 ÷ 2 = 45171) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90342 ÷ 3 = 30114) | 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 (90342 ÷ 6 = 15057) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (90342 ÷ 7 = 12906) | 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 | Yes (90342 ÷ 9 = 10038) | 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 90342 a prime number?
No. 90342 = 2 × × 7 × 239, so it is divisible by 2.
What are the factors of 90342?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 239, 378, 478, 717, 1434, 1673, 2151, 3346, 4302, 5019, 6453, 10038, 12906, 15057, 30114, 45171, 90342.
What is 90342 in binary?
10110000011100110 (hexadecimal 160E6, octal 260346).
What is the square root of 90342?
About 300.5695, exactly 3√10038.
Is 90342 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 90342?
90342 is a Harshad number: divisible by its digit sum 18.