The number 98550
98550 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 73. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 73 … 98550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98550: a Harshad number: divisible by its digit sum 27.
- 2
98550 is composite. Its prime factorisation is
- 3
The divisors add up to 275280; without 98550 itself that is 176730, so 98550 is abundant (176730 is more than 98550). Euler's totient φ(98550) = 25920 numbers up to 98550 share no factor with it.
- 4
The digits of 98550 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98550 = 2 \times 3^{3} \times 5^{2} \times 73 \]98550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 275280 |
| Euler totient φ(n) | 25920 |
| Square | 9712102500 |
| Cube | 957127701375000 |
| Square root | 313.926743 (= 15√438) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.855 × |
98550 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand five hundred and fifty |
| Binary (base 2) | 11000000011110110 |
| Octal (base 8) | 300366 |
| Hexadecimal (base 16) | 180F6 |
| Base 3 | 12000012000 |
| As time | 98550 seconds = 27 h 22 min 30 s |
Is 98550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98550 ÷ 2 = 49275) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98550 ÷ 3 = 32850) | 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 | Yes (98550 ÷ 5 = 19710) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (98550 ÷ 6 = 16425) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (98550 ÷ 9 = 10950) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98550 ÷ 10 = 9855) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98550 a prime number?
No. 98550 = 2 × × × 73, so it is divisible by 2.
What are the factors of 98550?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 73, 75, 90, 135, 146, 150, 219, 225, 270, 365, 438, 450, 657, 675, 730, 1095, 1314, 1350, 1825, 1971, 2190, 3285, 3650, 3942, 5475, 6570, 9855, 10950, 16425, 19710, 32850, 49275, 98550.
What is 98550 in binary?
11000000011110110 (hexadecimal 180F6, octal 300366).
What is the square root of 98550?
About 313.9267, exactly 15√438.
Is 98550 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 98550?
98550 is a Harshad number: divisible by its digit sum 27.