The number 97998
97998 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 16333. Divisors (8): 1, 2, 3, 6, 16333, 32666, 48999, 97998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97998: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97998 is composite. Its prime factorisation is
- 3
The divisors add up to 196008; without 97998 itself that is 98010, so 97998 is abundant (98010 is more than 97998). Euler's totient φ(97998) = 32664 numbers up to 97998 share no factor with it.
- 4
The digits of 97998 add up to 42, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97998 = 2 \times 3 \times 16333 \]
97998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 196008 |
| Euler totient φ(n) | 32664 |
| Square | 9603608004 |
| Cube | 941134377175992 |
| Square root | 313.046322 |
| Digit sum / digital root | 42 / 6 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.7998 × |
97998 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and ninety-eight |
| Binary (base 2) | 10111111011001110 |
| Octal (base 8) | 277316 |
| Hexadecimal (base 16) | 17ECE |
| Base 3 | 11222102120 |
| As time | 97998 seconds = 27 h 13 min 18 s |
Is 97998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97998 ÷ 2 = 48999) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97998 ÷ 3 = 32666) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97998 ÷ 6 = 16333) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 10) | 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 97998 a prime number?
No. 97998 = 2 × 3 × 16333, so it is divisible by 2.
What are the factors of 97998?
1, 2, 3, 6, 16333, 32666, 48999, 97998.
What is 97998 in binary?
10111111011001110 (hexadecimal 17ECE, octal 277316).
What is the square root of 97998?
About 313.0463.
Is 97998 divisible by 3?
Yes. Its digits add up to 42, a multiple of 3.
What is special about the number 97998?
97998 is a happy number: repeatedly adding the squares of its digits reaches 1.