The number 97042
97042 is a composite number with 12 divisors. Its prime factorisation is 2 × × 401. Divisors (12): 1, 2, 11, 22, 121, 242, 401, 802, 4411, 8822, 48521, 97042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97042: a Harshad number: divisible by its digit sum 22.
- 2
97042 is composite. Its prime factorisation is
- 3
The divisors add up to 160398; without 97042 itself that is 63356, so 97042 is deficient (63356 is less than 97042). Euler's totient φ(97042) = 44000 numbers up to 97042 share no factor with it.
- 4
The digits of 97042 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97042 = 2 \times 11^{2} \times 401 \]97042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 160398 |
| Euler totient φ(n) | 44000 |
| Square | 9417149764 |
| Cube | 913859047398088 |
| Square root | 311.515650 (= 11√802) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7042 × |
97042 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and forty-two |
| Binary (base 2) | 10111101100010010 |
| Octal (base 8) | 275422 |
| Hexadecimal (base 16) | 17B12 |
| Base 3 | 11221010011 |
| As time | 97042 seconds = 26 h 57 min 22 s |
Is 97042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97042 ÷ 2 = 48521) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 (97042 ÷ 11 = 8822) | 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 97042 a prime number?
No. 97042 = 2 × × 401, so it is divisible by 2.
What are the factors of 97042?
1, 2, 11, 22, 121, 242, 401, 802, 4411, 8822, 48521, 97042.
What is 97042 in binary?
10111101100010010 (hexadecimal 17B12, octal 275422).
What is the square root of 97042?
About 311.5156, exactly 11√802.
Is 97042 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 97042?
97042 is a Harshad number: divisible by its digit sum 22.