The number 97988
97988 is a composite number with 24 divisors. Its prime factorisation is × 11 × 17 × 131. Divisors (24): 1, 2, 4, 11, 17, 22, 34, 44, 68, 131, 187, 262, 374, 524, 748, 1441 … 97988.
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How to work it out
- 1
97988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97988 is composite. Its prime factorisation is
- 3
The divisors add up to 199584; without 97988 itself that is 101596, so 97988 is abundant (101596 is more than 97988). Euler's totient φ(97988) = 41600 numbers up to 97988 share no factor with it.
- 4
The digits of 97988 add up to 41, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97988 = 2^{2} \times 11 \times 17 \times 131 \]97988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 199584 |
| Euler totient φ(n) | 41600 |
| Square | 9601648144 |
| Cube | 940846298334272 |
| Square root | 313.030350 (= 2√24497) |
| Digit sum / digital root | 41 / 5 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.7988 × |
97988 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and eighty-eight |
| Binary (base 2) | 10111111011000100 |
| Octal (base 8) | 277304 |
| Hexadecimal (base 16) | 17EC4 |
| Base 3 | 11222102012 |
| As time | 97988 seconds = 27 h 13 min 8 s |
Is 97988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97988 ÷ 2 = 48994) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97988 ÷ 4 = 24497) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 | Yes (97988 ÷ 11 = 8908) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97988 a prime number?
No. 97988 = × 11 × 17 × 131, so it is divisible by 2.
What are the factors of 97988?
1, 2, 4, 11, 17, 22, 34, 44, 68, 131, 187, 262, 374, 524, 748, 1441, 2227, 2882, 4454, 5764, 8908, 24497, 48994, 97988.
What is 97988 in binary?
10111111011000100 (hexadecimal 17EC4, octal 277304).
What is the square root of 97988?
About 313.0303, exactly 2√24497.
Is 97988 divisible by 3?
No. Its digits add up to 41, which is not a multiple of 3.
What is special about the number 97988?
It is a composite number with 24 divisors.