The number 97100
97100 is a composite number with 18 divisors. Its prime factorisation is × × 971. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 971, 1942, 3884, 4855, 9710, 19420, 24275 … 97100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97100 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97100 is composite. Its prime factorisation is
- 3
The divisors add up to 210924; without 97100 itself that is 113824, so 97100 is abundant (113824 is more than 97100). Euler's totient φ(97100) = 38800 numbers up to 97100 share no factor with it.
- 4
The digits of 97100 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97100 = 2^{2} \times 5^{2} \times 971 \]97100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 210924 |
| Euler totient φ(n) | 38800 |
| Square | 9428410000 |
| Cube | 915498611000000 |
| Square root | 311.608729 (= 10√971) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.71 × |
97100 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred |
| Binary (base 2) | 10111101101001100 |
| Octal (base 8) | 275514 |
| Hexadecimal (base 16) | 17B4C |
| Base 3 | 11221012022 |
| As time | 97100 seconds = 26 h 58 min 20 s |
Is 97100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97100 ÷ 2 = 48550) | 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 | Yes (97100 ÷ 4 = 24275) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97100 ÷ 5 = 19420) | 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 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97100 ÷ 10 = 9710) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97100 a prime number?
No. 97100 = × × 971, so it is divisible by 2.
What are the factors of 97100?
1, 2, 4, 5, 10, 20, 25, 50, 100, 971, 1942, 3884, 4855, 9710, 19420, 24275, 48550, 97100.
What is 97100 in binary?
10111101101001100 (hexadecimal 17B4C, octal 275514).
What is the square root of 97100?
About 311.6087, exactly 10√971.
Is 97100 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 97100?
It is a composite number with 18 divisors.