The number 97942
97942 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 3767. Divisors (8): 1, 2, 13, 26, 3767, 7534, 48971, 97942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97942 is composite. Its prime factorisation is
- 3
The divisors add up to 158256; without 97942 itself that is 60314, so 97942 is deficient (60314 is less than 97942). Euler's totient φ(97942) = 45192 numbers up to 97942 share no factor with it.
- 4
The digits of 97942 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97942 = 2 \times 13 \times 3767 \]
97942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 158256 |
| Euler totient φ(n) | 45192 |
| Square | 9592635364 |
| Cube | 939521892820888 |
| Square root | 312.956866 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7942 × |
97942 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and forty-two |
| Binary (base 2) | 10111111010010110 |
| Octal (base 8) | 277226 |
| Hexadecimal (base 16) | 17E96 |
| Base 3 | 11222100111 |
| As time | 97942 seconds = 27 h 12 min 22 s |
Is 97942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97942 ÷ 2 = 48971) | 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 5) | 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 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 | No (remainder 9) | 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 97942 a prime number?
No. 97942 = 2 × 13 × 3767, so it is divisible by 2.
What are the factors of 97942?
1, 2, 13, 26, 3767, 7534, 48971, 97942.
What is 97942 in binary?
10111111010010110 (hexadecimal 17E96, octal 277226).
What is the square root of 97942?
About 312.9569.
Is 97942 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97942?
It is a composite number with 8 divisors.