The number 97662
97662 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 41 × 397. Divisors (16): 1, 2, 3, 6, 41, 82, 123, 246, 397, 794, 1191, 2382, 16277, 32554, 48831, 97662.
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How to work it out
- 1
97662 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97662 is composite. Its prime factorisation is
- 3
The divisors add up to 200592; without 97662 itself that is 102930, so 97662 is abundant (102930 is more than 97662). Euler's totient φ(97662) = 31680 numbers up to 97662 share no factor with it.
- 4
The digits of 97662 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97662 = 2 \times 3 \times 41 \times 397 \]
97662 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 200592 |
| Euler totient φ(n) | 31680 |
| Square | 9537866244 |
| Cube | 931487093121528 |
| Square root | 312.509200 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7662 × |
97662 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and sixty-two |
| Binary (base 2) | 10111110101111110 |
| Octal (base 8) | 276576 |
| Hexadecimal (base 16) | 17D7E |
| Base 3 | 11221222010 |
| As time | 97662 seconds = 27 h 7 min 42 s |
Is 97662 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97662 ÷ 2 = 48831) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97662 ÷ 3 = 32554) | 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 (97662 ÷ 6 = 16277) | 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 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 4) | 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 97662 a prime number?
No. 97662 = 2 × 3 × 41 × 397, so it is divisible by 2.
What are the factors of 97662?
1, 2, 3, 6, 41, 82, 123, 246, 397, 794, 1191, 2382, 16277, 32554, 48831, 97662.
What is 97662 in binary?
10111110101111110 (hexadecimal 17D7E, octal 276576).
What is the square root of 97662?
About 312.5092.
Is 97662 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 97662?
It is a composite number with 16 divisors.