The number 40210
40210 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 4021. Divisors (8): 1, 2, 5, 10, 4021, 8042, 20105, 40210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40210 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40210 is composite. Its prime factorisation is
- 3
The divisors add up to 72396; without 40210 itself that is 32186, so 40210 is deficient (32186 is less than 40210). Euler's totient φ(40210) = 16080 numbers up to 40210 share no factor with it.
- 4
The digits of 40210 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40210 = 2 \times 5 \times 4021 \]
40210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72396 |
| Euler totient φ(n) | 16080 |
| Square | 1616844100 |
| Cube | 65013301261000 |
| Square root | 200.524313 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.021 × |
40210 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and ten |
| Binary (base 2) | 1001110100010010 |
| Octal (base 8) | 116422 |
| Hexadecimal (base 16) | 9D12 |
| Base 3 | 2001011021 |
| As time | 40210 seconds = 11 h 10 min 10 s |
Is 40210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40210 ÷ 2 = 20105) | 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 (40210 ÷ 5 = 8042) | 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 2) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40210 ÷ 10 = 4021) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 40210 a prime number?
No. 40210 = 2 × 5 × 4021, so it is divisible by 2.
What are the factors of 40210?
1, 2, 5, 10, 4021, 8042, 20105, 40210.
What is 40210 in binary?
1001110100010010 (hexadecimal 9D12, octal 116422).
What is the square root of 40210?
About 200.5243.
Is 40210 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 40210?
It is a composite number with 8 divisors.