The number 97600
97600 is a composite number with 42 divisors. Its prime factorisation is × × 61. Divisors (42): 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 61, 64, 80, 100 … 97600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97600 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97600 is composite. Its prime factorisation is
- 3
The divisors add up to 244094; without 97600 itself that is 146494, so 97600 is abundant (146494 is more than 97600). Euler's totient φ(97600) = 38400 numbers up to 97600 share no factor with it.
- 4
The digits of 97600 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97600 = 2^{6} \times 5^{2} \times 61 \]97600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 244094 |
| Euler totient φ(n) | 38400 |
| Square | 9525760000 |
| Cube | 929714176000000 |
| Square root | 312.409987 (= 40√61) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.76 × |
97600 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred |
| Binary (base 2) | 10111110101000000 |
| Octal (base 8) | 276500 |
| Hexadecimal (base 16) | 17D40 |
| Base 3 | 11221212211 |
| As time | 97600 seconds = 27 h 6 min 40 s |
Is 97600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97600 ÷ 2 = 48800) | 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 (97600 ÷ 4 = 24400) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97600 ÷ 5 = 19520) | 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 6) | 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 (97600 ÷ 8 = 12200) | 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 | Yes (97600 ÷ 10 = 9760) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 97600 a prime number?
No. 97600 = × × 61, so it is divisible by 2.
What are the factors of 97600?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 61, 64, 80, 100, 122, 160, 200, 244, 305, 320, 400, 488, 610, 800, 976, 1220, 1525, 1600, 1952, 2440, 3050, 3904, 4880, 6100, 9760, 12200, 19520, 24400, 48800, 97600.
What is 97600 in binary?
10111110101000000 (hexadecimal 17D40, octal 276500).
What is the square root of 97600?
About 312.4100, exactly 40√61.
Is 97600 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 97600?
It is a composite number with 42 divisors.