The number 97842
97842 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 709. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 138, 709, 1418, 2127, 4254, 16307, 32614, 48921, 97842.
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How to work it out
- 1
97842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97842 is composite. Its prime factorisation is
- 3
The divisors add up to 204480; without 97842 itself that is 106638, so 97842 is abundant (106638 is more than 97842). Euler's totient φ(97842) = 31152 numbers up to 97842 share no factor with it.
- 4
The digits of 97842 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97842 = 2 \times 3 \times 23 \times 709 \]
97842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 204480 |
| Euler totient φ(n) | 31152 |
| Square | 9573056964 |
| Cube | 936647039471688 |
| Square root | 312.797059 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.7842 × |
97842 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand eight hundred and forty-two |
| Binary (base 2) | 10111111000110010 |
| Octal (base 8) | 277062 |
| Hexadecimal (base 16) | 17E32 |
| Base 3 | 11222012210 |
| As time | 97842 seconds = 27 h 10 min 42 s |
Is 97842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97842 ÷ 2 = 48921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97842 ÷ 3 = 32614) | 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 (97842 ÷ 6 = 16307) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 8) | 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 97842 a prime number?
No. 97842 = 2 × 3 × 23 × 709, so it is divisible by 2.
What are the factors of 97842?
1, 2, 3, 6, 23, 46, 69, 138, 709, 1418, 2127, 4254, 16307, 32614, 48921, 97842.
What is 97842 in binary?
10111111000110010 (hexadecimal 17E32, octal 277062).
What is the square root of 97842?
About 312.7971.
Is 97842 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 97842?
It is a composite number with 16 divisors.