The number 97828
97828 is a composite number with 12 divisors. Its prime factorisation is × 37 × 661. Divisors (12): 1, 2, 4, 37, 74, 148, 661, 1322, 2644, 24457, 48914, 97828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97828: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97828 is composite. Its prime factorisation is
- 3
The divisors add up to 176092; without 97828 itself that is 78264, so 97828 is deficient (78264 is less than 97828). Euler's totient φ(97828) = 47520 numbers up to 97828 share no factor with it.
- 4
The digits of 97828 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97828 = 2^{2} \times 37 \times 661 \]97828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 176092 |
| Euler totient φ(n) | 47520 |
| Square | 9570317584 |
| Cube | 936245028607552 |
| Square root | 312.774679 (= 2√24457) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 172 |
| Scientific notation | 9.7828 × |
97828 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand eight hundred and twenty-eight |
| Binary (base 2) | 10111111000100100 |
| Octal (base 8) | 277044 |
| Hexadecimal (base 16) | 17E24 |
| Base 3 | 11222012021 |
| As time | 97828 seconds = 27 h 10 min 28 s |
Is 97828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97828 ÷ 2 = 48914) | 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 (97828 ÷ 4 = 24457) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 3) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97828 a prime number?
No. 97828 = × 37 × 661, so it is divisible by 2.
What are the factors of 97828?
1, 2, 4, 37, 74, 148, 661, 1322, 2644, 24457, 48914, 97828.
What is 97828 in binary?
10111111000100100 (hexadecimal 17E24, octal 277044).
What is the square root of 97828?
About 312.7747, exactly 2√24457.
Is 97828 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 97828?
97828 is a happy number: repeatedly adding the squares of its digits reaches 1.