The number 97216
97216 is a composite number with 42 divisors. Its prime factorisation is × × 31. Divisors (42): 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 49, 56, 62, 64, 98, 112 … 97216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97216 is composite. Its prime factorisation is
- 3
The divisors add up to 231648; without 97216 itself that is 134432, so 97216 is abundant (134432 is more than 97216). Euler's totient φ(97216) = 40320 numbers up to 97216 share no factor with it.
- 4
The digits of 97216 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97216 = 2^{6} \times 7^{2} \times 31 \]97216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 231648 |
| Euler totient φ(n) | 40320 |
| Square | 9450950656 |
| Cube | 918783618973696 |
| Square root | 311.794804 (= 56√31) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7216 × |
97216 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and sixteen |
| Binary (base 2) | 10111101111000000 |
| Octal (base 8) | 275700 |
| Hexadecimal (base 16) | 17BC0 |
| Base 3 | 11221100121 |
| As time | 97216 seconds = 27 h 0 min 16 s |
Is 97216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97216 ÷ 2 = 48608) | 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 | Yes (97216 ÷ 4 = 24304) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (97216 ÷ 7 = 13888) | 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 | Yes (97216 ÷ 8 = 12152) | 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 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97216 a prime number?
No. 97216 = × × 31, so it is divisible by 2.
What are the factors of 97216?
1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 49, 56, 62, 64, 98, 112, 124, 196, 217, 224, 248, 392, 434, 448, 496, 784, 868, 992, 1519, 1568, 1736, 1984, 3038, 3136, 3472, 6076, 6944, 12152, 13888, 24304, 48608, 97216.
What is 97216 in binary?
10111101111000000 (hexadecimal 17BC0, octal 275700).
What is the square root of 97216?
About 311.7948, exactly 56√31.
Is 97216 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 97216?
It is a composite number with 42 divisors.