The number 97762
97762 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 6983. Divisors (8): 1, 2, 7, 14, 6983, 13966, 48881, 97762.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97762: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97762 is composite. Its prime factorisation is
- 3
The divisors add up to 167616; without 97762 itself that is 69854, so 97762 is deficient (69854 is less than 97762). Euler's totient φ(97762) = 41892 numbers up to 97762 share no factor with it.
- 4
The digits of 97762 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
\[ 97762 = 2 \times 7 \times 6983 \]
97762 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 167616 |
| Euler totient φ(n) | 41892 |
| Square | 9557408644 |
| Cube | 934351383854728 |
| Square root | 312.669154 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7762 × |
97762 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and sixty-two |
| Binary (base 2) | 10111110111100010 |
| Octal (base 8) | 276742 |
| Hexadecimal (base 16) | 17DE2 |
| Base 3 | 11222002211 |
| As time | 97762 seconds = 27 h 9 min 22 s |
Is 97762 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97762 ÷ 2 = 48881) | 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 2) | 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 (97762 ÷ 7 = 13966) | 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 | No (remainder 4) | 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 5) | 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 97762 a prime number?
No. 97762 = 2 × 7 × 6983, so it is divisible by 2.
What are the factors of 97762?
1, 2, 7, 14, 6983, 13966, 48881, 97762.
What is 97762 in binary?
10111110111100010 (hexadecimal 17DE2, octal 276742).
What is the square root of 97762?
About 312.6692.
Is 97762 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97762?
97762 is a happy number: repeatedly adding the squares of its digits reaches 1.