The number 98748
98748 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 211. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156 … 98748.
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How to work it out
- 1
What is special about 98748: a Harshad number: divisible by its digit sum 36.
- 2
98748 is composite. Its prime factorisation is
- 3
The divisors add up to 270088; without 98748 itself that is 171340, so 98748 is abundant (171340 is more than 98748). Euler's totient φ(98748) = 30240 numbers up to 98748 share no factor with it.
- 4
The digits of 98748 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 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98748 = 2^{2} \times 3^{2} \times 13 \times 211 \]98748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 270088 |
| Euler totient φ(n) | 30240 |
| Square | 9751167504 |
| Cube | 962908288684992 |
| Square root | 314.241945 (= 6√2743) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.8748 × |
98748 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand seven hundred and forty-eight |
| Binary (base 2) | 11000000110111100 |
| Octal (base 8) | 300674 |
| Hexadecimal (base 16) | 181BC |
| Base 3 | 12000110100 |
| As time | 98748 seconds = 27 h 25 min 48 s |
Is 98748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98748 ÷ 2 = 49374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98748 ÷ 3 = 32916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98748 ÷ 4 = 24687) | 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 (98748 ÷ 6 = 16458) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (98748 ÷ 9 = 10972) | 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 | Yes (98748 ÷ 12 = 8229) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98748 a prime number?
No. 98748 = × × 13 × 211, so it is divisible by 2.
What are the factors of 98748?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 211, 234, 422, 468, 633, 844, 1266, 1899, 2532, 2743, 3798, 5486, 7596, 8229, 10972, 16458, 24687, 32916, 49374, 98748.
What is 98748 in binary?
11000000110111100 (hexadecimal 181BC, octal 300674).
What is the square root of 98748?
About 314.2419, exactly 6√2743.
Is 98748 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 98748?
98748 is a Harshad number: divisible by its digit sum 36.