The number 88998
88998 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 13 × 163. Divisors (32): 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 163, 182, 273 … 88998.
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How to work it out
- 1
What is special about 88998: a Harshad number: divisible by its digit sum 42.
- 2
88998 is composite. Its prime factorisation is
- 3
The divisors add up to 220416; without 88998 itself that is 131418, so 88998 is abundant (131418 is more than 88998). Euler's totient φ(88998) = 23328 numbers up to 88998 share no factor with it.
- 4
The digits of 88998 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88998 = 2 \times 3 \times 7 \times 13 \times 163 \]
88998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 220416 |
| Euler totient φ(n) | 23328 |
| Square | 7920644004 |
| Cube | 704921475067992 |
| Square root | 298.325326 |
| Digit sum / digital root | 42 / 6 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.8998 × |
88998 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand nine hundred and ninety-eight |
| Binary (base 2) | 10101101110100110 |
| Octal (base 8) | 255646 |
| Hexadecimal (base 16) | 15BA6 |
| Base 3 | 11112002020 |
| As time | 88998 seconds = 24 h 43 min 18 s |
Is 88998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88998 ÷ 2 = 44499) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88998 ÷ 3 = 29666) | 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 (88998 ÷ 6 = 14833) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (88998 ÷ 7 = 12714) | 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 8) | 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 88998 a prime number?
No. 88998 = 2 × 3 × 7 × 13 × 163, so it is divisible by 2.
What are the factors of 88998?
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 163, 182, 273, 326, 489, 546, 978, 1141, 2119, 2282, 3423, 4238, 6357, 6846, 12714, 14833, 29666, 44499, 88998.
What is 88998 in binary?
10101101110100110 (hexadecimal 15BA6, octal 255646).
What is the square root of 88998?
About 298.3253.
Is 88998 divisible by 3?
Yes. Its digits add up to 42, a multiple of 3.
What is special about the number 88998?
88998 is a Harshad number: divisible by its digit sum 42.