The number 97700
97700 is a composite number with 18 divisors. Its prime factorisation is × × 977. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 977, 1954, 3908, 4885, 9770, 19540, 24425 … 97700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97700 is composite. Its prime factorisation is
- 3
The divisors add up to 212226; without 97700 itself that is 114526, so 97700 is abundant (114526 is more than 97700). Euler's totient φ(97700) = 39040 numbers up to 97700 share no factor with it.
- 4
The digits of 97700 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 203 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97700 = 2^{2} \times 5^{2} \times 977 \]97700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 212226 |
| Euler totient φ(n) | 39040 |
| Square | 9545290000 |
| Cube | 932574833000000 |
| Square root | 312.569992 (= 10√977) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 203 |
| Scientific notation | 9.77 × |
97700 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred |
| Binary (base 2) | 10111110110100100 |
| Octal (base 8) | 276644 |
| Hexadecimal (base 16) | 17DA4 |
| Base 3 | 11222000112 |
| As time | 97700 seconds = 27 h 8 min 20 s |
Is 97700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97700 ÷ 2 = 48850) | 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 (97700 ÷ 4 = 24425) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97700 ÷ 5 = 19540) | 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 1) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97700 ÷ 10 = 9770) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97700 a prime number?
No. 97700 = × × 977, so it is divisible by 2.
What are the factors of 97700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 977, 1954, 3908, 4885, 9770, 19540, 24425, 48850, 97700.
What is 97700 in binary?
10111110110100100 (hexadecimal 17DA4, octal 276644).
What is the square root of 97700?
About 312.5700, exactly 10√977.
Is 97700 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 97700?
It is a composite number with 18 divisors.