The number 97162
97162 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 37 × 101. Divisors (16): 1, 2, 13, 26, 37, 74, 101, 202, 481, 962, 1313, 2626, 3737, 7474, 48581, 97162.
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How to work it out
- 1
97162 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97162 is composite. Its prime factorisation is
- 3
The divisors add up to 162792; without 97162 itself that is 65630, so 97162 is deficient (65630 is less than 97162). Euler's totient φ(97162) = 43200 numbers up to 97162 share no factor with it.
- 4
The digits of 97162 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97162 = 2 \times 13 \times 37 \times 101 \]
97162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 162792 |
| Euler totient φ(n) | 43200 |
| Square | 9440454244 |
| Cube | 917253415255528 |
| Square root | 311.708197 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7162 × |
97162 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and sixty-two |
| Binary (base 2) | 10111101110001010 |
| Octal (base 8) | 275612 |
| Hexadecimal (base 16) | 17B8A |
| Base 3 | 11221021121 |
| As time | 97162 seconds = 26 h 59 min 22 s |
Is 97162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97162 ÷ 2 = 48581) | 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 2) | 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 7) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97162 a prime number?
No. 97162 = 2 × 13 × 37 × 101, so it is divisible by 2.
What are the factors of 97162?
1, 2, 13, 26, 37, 74, 101, 202, 481, 962, 1313, 2626, 3737, 7474, 48581, 97162.
What is 97162 in binary?
10111101110001010 (hexadecimal 17B8A, octal 275612).
What is the square root of 97162?
About 311.7082.
Is 97162 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 97162?
It is a composite number with 16 divisors.