The number 98388
98388 is a composite number with 24 divisors. Its prime factorisation is × × 911. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 911, 1822, 2733, 3644 … 98388.
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How to work it out
- 1
What is special about 98388: a Harshad number: divisible by its digit sum 36.
- 2
98388 is composite. Its prime factorisation is
- 3
The divisors add up to 255360; without 98388 itself that is 156972, so 98388 is abundant (156972 is more than 98388). Euler's totient φ(98388) = 32760 numbers up to 98388 share no factor with it.
- 4
The digits of 98388 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98388 = 2^{2} \times 3^{3} \times 911 \]98388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 255360 |
| Euler totient φ(n) | 32760 |
| Square | 9680198544 |
| Cube | 952415374347072 |
| Square root | 313.668615 (= 6√2733) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8388 × |
98388 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand three hundred and eighty-eight |
| Binary (base 2) | 11000000001010100 |
| Octal (base 8) | 300124 |
| Hexadecimal (base 16) | 18054 |
| Base 3 | 11222222000 |
| As time | 98388 seconds = 27 h 19 min 48 s |
Is 98388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98388 ÷ 2 = 49194) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98388 ÷ 3 = 32796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98388 ÷ 4 = 24597) | 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 (98388 ÷ 6 = 16398) | 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 | Yes (98388 ÷ 9 = 10932) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (98388 ÷ 12 = 8199) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98388 a prime number?
No. 98388 = × × 911, so it is divisible by 2.
What are the factors of 98388?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 911, 1822, 2733, 3644, 5466, 8199, 10932, 16398, 24597, 32796, 49194, 98388.
What is 98388 in binary?
11000000001010100 (hexadecimal 18054, octal 300124).
What is the square root of 98388?
About 313.6686, exactly 6√2733.
Is 98388 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 98388?
98388 is a Harshad number: divisible by its digit sum 36.