The number 97726
97726 is a composite number with 8 divisors. Its prime factorisation is 2 × 131 × 373. Divisors (8): 1, 2, 131, 262, 373, 746, 48863, 97726.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97726: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97726 is composite. Its prime factorisation is
- 3
The divisors add up to 148104; without 97726 itself that is 50378, so 97726 is deficient (50378 is less than 97726). Euler's totient φ(97726) = 48360 numbers up to 97726 share no factor with it.
- 4
The digits of 97726 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97726 = 2 \times 131 \times 373 \]
97726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 148104 |
| Euler totient φ(n) | 48360 |
| Square | 9550371076 |
| Cube | 933319563773176 |
| Square root | 312.611580 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7726 × |
97726 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and twenty-six |
| Binary (base 2) | 10111110110111110 |
| Octal (base 8) | 276676 |
| Hexadecimal (base 16) | 17DBE |
| Base 3 | 11222001111 |
| As time | 97726 seconds = 27 h 8 min 46 s |
Is 97726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97726 ÷ 2 = 48863) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | No (remainder 6) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97726 a prime number?
No. 97726 = 2 × 131 × 373, so it is divisible by 2.
What are the factors of 97726?
1, 2, 131, 262, 373, 746, 48863, 97726.
What is 97726 in binary?
10111110110111110 (hexadecimal 17DBE, octal 276676).
What is the square root of 97726?
About 312.6116.
Is 97726 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97726?
97726 is a happy number: repeatedly adding the squares of its digits reaches 1.