The number 97722
97722 is a composite number with 24 divisors. Its prime factorisation is 2 × × 61 × 89. Divisors (24): 1, 2, 3, 6, 9, 18, 61, 89, 122, 178, 183, 267, 366, 534, 549, 801 … 97722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97722 is composite. Its prime factorisation is
- 3
The divisors add up to 217620; without 97722 itself that is 119898, so 97722 is abundant (119898 is more than 97722). Euler's totient φ(97722) = 31680 numbers up to 97722 share no factor with it.
- 4
The digits of 97722 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97722 = 2 \times 3^{2} \times 61 \times 89 \]97722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 217620 |
| Euler totient φ(n) | 31680 |
| Square | 9549589284 |
| Cube | 933204964011048 |
| Square root | 312.605182 (= 3√10858) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7722 × |
97722 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and twenty-two |
| Binary (base 2) | 10111110110111010 |
| Octal (base 8) | 276672 |
| Hexadecimal (base 16) | 17DBA |
| Base 3 | 11222001100 |
| As time | 97722 seconds = 27 h 8 min 42 s |
Is 97722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97722 ÷ 2 = 48861) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97722 ÷ 3 = 32574) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97722 ÷ 6 = 16287) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97722 ÷ 9 = 10858) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97722 a prime number?
No. 97722 = 2 × × 61 × 89, so it is divisible by 2.
What are the factors of 97722?
1, 2, 3, 6, 9, 18, 61, 89, 122, 178, 183, 267, 366, 534, 549, 801, 1098, 1602, 5429, 10858, 16287, 32574, 48861, 97722.
What is 97722 in binary?
10111110110111010 (hexadecimal 17DBA, octal 276672).
What is the square root of 97722?
About 312.6052, exactly 3√10858.
Is 97722 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97722?
It is a composite number with 24 divisors.