The number 4212
4212 is a composite number with 30 divisors. Its prime factorisation is × × 13. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78 … 4212.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4212: a Harshad number: divisible by its digit sum 9.
- 2
4212 is composite. Its prime factorisation is
- 3
The divisors add up to 11858; without 4212 itself that is 7646, so 4212 is abundant (7646 is more than 4212). Euler's totient φ(4212) = 1296 numbers up to 4212 share no factor with it.
- 4
The digits of 4212 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4212 = 2^{2} \times 3^{4} \times 13 \]4212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 11858 |
| Euler totient φ(n) | 1296 |
| Square | 17740944 |
| Cube | 74724856128 |
| Square root | 64.899923 (= 18√13) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 82 |
| Scientific notation | 4.212 × |
4212 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and twelve |
| Binary (base 2) | 1000001110100 |
| Octal (base 8) | 10164 |
| Hexadecimal (base 16) | 1074 |
| Base 3 | 12210000 |
| As time | 4212 seconds = 1 h 10 min 12 s |
Is 4212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4212 ÷ 2 = 2106) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4212 ÷ 3 = 1404) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4212 ÷ 4 = 1053) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4212 ÷ 6 = 702) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4212 ÷ 9 = 468) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4212 ÷ 12 = 351) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4212 a prime number?
No. 4212 = × × 13, so it is divisible by 2.
What are the factors of 4212?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212.
What is 4212 in binary?
1000001110100 (hexadecimal 1074, octal 10164).
What is the square root of 4212?
About 64.8999, exactly 18√13.
Is 4212 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 4212?
4212 is a Harshad number: divisible by its digit sum 9.