The number 98988
98988 is a composite number with 24 divisors. Its prime factorisation is × 3 × 73 × 113. Divisors (24): 1, 2, 3, 4, 6, 12, 73, 113, 146, 219, 226, 292, 339, 438, 452, 678 … 98988.
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How to work it out
- 1
98988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98988 is composite. Its prime factorisation is
- 3
The divisors add up to 236208; without 98988 itself that is 137220, so 98988 is abundant (137220 is more than 98988). Euler's totient φ(98988) = 32256 numbers up to 98988 share no factor with it.
- 4
The digits of 98988 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
\[ 98988 = 2^{2} \times 3 \times 73 \times 113 \]98988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 236208 |
| Euler totient φ(n) | 32256 |
| Square | 9798624144 |
| Cube | 969946206766272 |
| Square root | 314.623585 (= 2√24747) |
| Digit sum / digital root | 42 / 6 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.8988 × |
98988 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred and eighty-eight |
| Binary (base 2) | 11000001010101100 |
| Octal (base 8) | 301254 |
| Hexadecimal (base 16) | 182AC |
| Base 3 | 12000210020 |
| As time | 98988 seconds = 27 h 29 min 48 s |
Is 98988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98988 ÷ 2 = 49494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98988 ÷ 3 = 32996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98988 ÷ 4 = 24747) | 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 (98988 ÷ 6 = 16498) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 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 | Yes (98988 ÷ 12 = 8249) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98988 a prime number?
No. 98988 = × 3 × 73 × 113, so it is divisible by 2.
What are the factors of 98988?
1, 2, 3, 4, 6, 12, 73, 113, 146, 219, 226, 292, 339, 438, 452, 678, 876, 1356, 8249, 16498, 24747, 32996, 49494, 98988.
What is 98988 in binary?
11000001010101100 (hexadecimal 182AC, octal 301254).
What is the square root of 98988?
About 314.6236, exactly 2√24747.
Is 98988 divisible by 3?
Yes. Its digits add up to 42, a multiple of 3.
What is special about the number 98988?
It is a composite number with 24 divisors.