The number 97742
97742 is a composite number with 4 divisors. Its prime factorisation is 2 × 48871. Divisors (4): 1, 2, 48871, 97742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97742: a semiprime: 2 × 48871, the product of two primes.
- 2
97742 is composite. Its prime factorisation is
- 3
The divisors add up to 146616; without 97742 itself that is 48874, so 97742 is deficient (48874 is less than 97742). Euler's totient φ(97742) = 48870 numbers up to 97742 share no factor with it.
- 4
The digits of 97742 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97742 = 2 \times 48871 \]
97742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 146616 |
| Euler totient φ(n) | 48870 |
| Square | 9553498564 |
| Cube | 933778056642488 |
| Square root | 312.637170 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 221 |
| Scientific notation | 9.7742 × |
97742 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and forty-two |
| Binary (base 2) | 10111110111001110 |
| Octal (base 8) | 276716 |
| Hexadecimal (base 16) | 17DCE |
| Base 3 | 11222002002 |
| As time | 97742 seconds = 27 h 9 min 2 s |
Is 97742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97742 ÷ 2 = 48871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97742 a prime number?
No. 97742 = 2 × 48871, so it is divisible by 2.
What are the factors of 97742?
1, 2, 48871, 97742.
What is 97742 in binary?
10111110111001110 (hexadecimal 17DCE, octal 276716).
What is the square root of 97742?
About 312.6372.
Is 97742 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97742?
97742 is a semiprime: 2 × 48871, the product of two primes.