The number 21412
21412 is a palindrome: it reads 21412 backwards too. Its prime factorisation is × 53 × 101. Divisors (12): 1, 2, 4, 53, 101, 106, 202, 212, 404, 5353, 10706, 21412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21412: a palindrome: it reads 21412 backwards too.
- 2
21412 is composite. Its prime factorisation is
- 3
The divisors add up to 38556; without 21412 itself that is 17144, so 21412 is deficient (17144 is less than 21412). Euler's totient φ(21412) = 10400 numbers up to 21412 share no factor with it.
- 4
The digits of 21412 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21412 = 2^{2} \times 53 \times 101 \]21412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 38556 |
| Euler totient φ(n) | 10400 |
| Square | 458473744 |
| Cube | 9816839806528 |
| Square root | 146.328398 (= 2√5353) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.1412 × |
21412 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand four hundred and twelve |
| Binary (base 2) | 101001110100100 |
| Octal (base 8) | 51644 |
| Hexadecimal (base 16) | 53A4 |
| Base 3 | 1002101001 |
| As time | 21412 seconds = 5 h 56 min 52 s |
Is 21412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21412 ÷ 2 = 10706) | 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 | Yes (21412 ÷ 4 = 5353) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 1) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21412 a prime number?
No. 21412 = × 53 × 101, so it is divisible by 2.
What are the factors of 21412?
1, 2, 4, 53, 101, 106, 202, 212, 404, 5353, 10706, 21412.
What is 21412 in binary?
101001110100100 (hexadecimal 53A4, octal 51644).
What is the square root of 21412?
About 146.3284, exactly 2√5353.
Is 21412 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 21412?
21412 is a palindrome: it reads 21412 backwards too.