The number 10210
10210 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1021. Divisors (8): 1, 2, 5, 10, 1021, 2042, 5105, 10210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10210 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10210 is composite. Its prime factorisation is
- 3
The divisors add up to 18396; without 10210 itself that is 8186, so 10210 is deficient (8186 is less than 10210). Euler's totient φ(10210) = 4080 numbers up to 10210 share no factor with it.
- 4
The digits of 10210 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10210 = 2 \times 5 \times 1021 \]
10210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18396 |
| Euler totient φ(n) | 4080 |
| Square | 104244100 |
| Cube | 1064332261000 |
| Square root | 101.044545 |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.021 × |
10210 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and ten |
| Binary (base 2) | 10011111100010 |
| Octal (base 8) | 23742 |
| Hexadecimal (base 16) | 27E2 |
| Base 3 | 112000011 |
| As time | 10210 seconds = 2 h 50 min 10 s |
Is 10210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10210 ÷ 2 = 5105) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (10210 ÷ 5 = 2042) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10210 ÷ 10 = 1021) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10210 a prime number?
No. 10210 = 2 × 5 × 1021, so it is divisible by 2.
What are the factors of 10210?
1, 2, 5, 10, 1021, 2042, 5105, 10210.
What is 10210 in binary?
10011111100010 (hexadecimal 27E2, octal 23742).
What is the square root of 10210?
About 101.0445.
Is 10210 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 10210?
It is a composite number with 8 divisors.