The number 97720
97720 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 349. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280 … 97720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97720 is composite. Its prime factorisation is
- 3
The divisors add up to 252000; without 97720 itself that is 154280, so 97720 is abundant (154280 is more than 97720). Euler's totient φ(97720) = 33408 numbers up to 97720 share no factor with it.
- 4
The digits of 97720 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
\[ 97720 = 2^{3} \times 5 \times 7 \times 349 \]97720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 252000 |
| Euler totient φ(n) | 33408 |
| Square | 9549198400 |
| Cube | 933147667648000 |
| Square root | 312.601983 (= 2√24430) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.772 × |
97720 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and twenty |
| Binary (base 2) | 10111110110111000 |
| Octal (base 8) | 276670 |
| Hexadecimal (base 16) | 17DB8 |
| Base 3 | 11222001021 |
| As time | 97720 seconds = 27 h 8 min 40 s |
Is 97720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97720 ÷ 2 = 48860) | 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 (97720 ÷ 4 = 24430) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97720 ÷ 5 = 19544) | 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 (97720 ÷ 7 = 13960) | 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 (97720 ÷ 8 = 12215) | 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 | Yes (97720 ÷ 10 = 9772) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 97720 a prime number?
No. 97720 = × 5 × 7 × 349, so it is divisible by 2.
What are the factors of 97720?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 349, 698, 1396, 1745, 2443, 2792, 3490, 4886, 6980, 9772, 12215, 13960, 19544, 24430, 48860, 97720.
What is 97720 in binary?
10111110110111000 (hexadecimal 17DB8, octal 276670).
What is the square root of 97720?
About 312.6020, exactly 2√24430.
Is 97720 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 97720?
It is a composite number with 32 divisors.