The number 4210
4210 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 421. Divisors (8): 1, 2, 5, 10, 421, 842, 2105, 4210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4210 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4210 is composite. Its prime factorisation is
- 3
The divisors add up to 7596; without 4210 itself that is 3386, so 4210 is deficient (3386 is less than 4210). Euler's totient φ(4210) = 1680 numbers up to 4210 share no factor with it.
- 4
The digits of 4210 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4210 = 2 \times 5 \times 421 \]
4210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7596 |
| Euler totient φ(n) | 1680 |
| Square | 17724100 |
| Cube | 74618461000 |
| Square root | 64.884513 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.21 × |
4210 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and ten |
| Binary (base 2) | 1000001110010 |
| Octal (base 8) | 10162 |
| Hexadecimal (base 16) | 1072 |
| Base 3 | 12202221 |
| As time | 4210 seconds = 1 h 10 min 10 s |
Is 4210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4210 ÷ 2 = 2105) | 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 (4210 ÷ 5 = 842) | 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 3) | 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 (4210 ÷ 10 = 421) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 4210 a prime number?
No. 4210 = 2 × 5 × 421, so it is divisible by 2.
What are the factors of 4210?
1, 2, 5, 10, 421, 842, 2105, 4210.
What is 4210 in binary?
1000001110010 (hexadecimal 1072, octal 10162).
What is the square root of 4210?
About 64.8845.
Is 4210 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 4210?
It is a composite number with 8 divisors.