The number 96988
96988 is a composite number with 6 divisors. Its prime factorisation is × 24247. Divisors (6): 1, 2, 4, 24247, 48494, 96988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96988: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
96988 is composite. Its prime factorisation is
- 3
The divisors add up to 169736; without 96988 itself that is 72748, so 96988 is deficient (72748 is less than 96988). Euler's totient φ(96988) = 48492 numbers up to 96988 share no factor with it.
- 4
The digits of 96988 add up to 40, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96988 = 2^{2} \times 24247 \]96988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 169736 |
| Euler totient φ(n) | 48492 |
| Square | 9406672144 |
| Cube | 912334317902272 |
| Square root | 311.428965 (= 2√24247) |
| Digit sum / digital root | 40 / 4 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.6988 × |
96988 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand nine hundred and eighty-eight |
| Binary (base 2) | 10111101011011100 |
| Octal (base 8) | 275334 |
| Hexadecimal (base 16) | 17ADC |
| Base 3 | 11221001011 |
| As time | 96988 seconds = 26 h 56 min 28 s |
Is 96988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96988 ÷ 2 = 48494) | 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 (96988 ÷ 4 = 24247) | 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 4) | 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 1) | 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 96988 a prime number?
No. 96988 = × 24247, so it is divisible by 2.
What are the factors of 96988?
1, 2, 4, 24247, 48494, 96988.
What is 96988 in binary?
10111101011011100 (hexadecimal 17ADC, octal 275334).
What is the square root of 96988?
About 311.4290, exactly 2√24247.
Is 96988 divisible by 3?
No. Its digits add up to 40, which is not a multiple of 3.
What is special about the number 96988?
96988 is a happy number: repeatedly adding the squares of its digits reaches 1.