The number 98210
98210 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 23 × 61. Divisors (32): 1, 2, 5, 7, 10, 14, 23, 35, 46, 61, 70, 115, 122, 161, 230, 305 … 98210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98210 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98210 is composite. Its prime factorisation is
- 3
The divisors add up to 214272; without 98210 itself that is 116062, so 98210 is abundant (116062 is more than 98210). Euler's totient φ(98210) = 31680 numbers up to 98210 share no factor with it.
- 4
The digits of 98210 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98210 = 2 \times 5 \times 7 \times 23 \times 61 \]
98210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 214272 |
| Euler totient φ(n) | 31680 |
| Square | 9645204100 |
| Cube | 947255494661000 |
| Square root | 313.384748 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.821 × |
98210 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand two hundred and ten |
| Binary (base 2) | 10111111110100010 |
| Octal (base 8) | 277642 |
| Hexadecimal (base 16) | 17FA2 |
| Base 3 | 11222201102 |
| As time | 98210 seconds = 27 h 16 min 50 s |
Is 98210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98210 ÷ 2 = 49105) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 (98210 ÷ 5 = 19642) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (98210 ÷ 7 = 14030) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98210 ÷ 10 = 9821) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98210 a prime number?
No. 98210 = 2 × 5 × 7 × 23 × 61, so it is divisible by 2.
What are the factors of 98210?
1, 2, 5, 7, 10, 14, 23, 35, 46, 61, 70, 115, 122, 161, 230, 305, 322, 427, 610, 805, 854, 1403, 1610, 2135, 2806, 4270, 7015, 9821, 14030, 19642, 49105, 98210.
What is 98210 in binary?
10111111110100010 (hexadecimal 17FA2, octal 277642).
What is the square root of 98210?
About 313.3847.
Is 98210 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 98210?
It is a composite number with 32 divisors.