The number 97989
97989 is a composite number with 8 divisors. Its prime factorisation is 3 × 89 × 367. Divisors (8): 1, 3, 89, 267, 367, 1101, 32663, 97989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97989: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97989 is composite. Its prime factorisation is
- 3
The divisors add up to 132480; without 97989 itself that is 34491, so 97989 is deficient (34491 is less than 97989). Euler's totient φ(97989) = 64416 numbers up to 97989 share no factor with it.
- 4
The digits of 97989 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97989 = 3 \times 89 \times 367 \]
97989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 132480 |
| Euler totient φ(n) | 64416 |
| Square | 9601844121 |
| Cube | 940875103572669 |
| Square root | 313.031947 |
| Digit sum / digital root | 42 / 6 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.7989 × |
97989 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and eighty-nine |
| Binary (base 2) | 10111111011000101 |
| Octal (base 8) | 277305 |
| Hexadecimal (base 16) | 17EC5 |
| Base 3 | 11222102020 |
| As time | 97989 seconds = 27 h 13 min 9 s |
Is 97989 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97989 ÷ 3 = 32663) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97989 a prime number?
No. 97989 = 3 × 89 × 367, so it is divisible by 3.
What are the factors of 97989?
1, 3, 89, 267, 367, 1101, 32663, 97989.
What is 97989 in binary?
10111111011000101 (hexadecimal 17EC5, octal 277305).
What is the square root of 97989?
About 313.0319.
Is 97989 divisible by 3?
Yes. Its digits add up to 42, a multiple of 3.
What is special about the number 97989?
97989 is a happy number: repeatedly adding the squares of its digits reaches 1.