The number 21462
21462 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 73. Divisors (24): 1, 2, 3, 6, 7, 14, 21, 42, 49, 73, 98, 146, 147, 219, 294, 438 … 21462.
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How to work it out
- 1
21462 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21462 is composite. Its prime factorisation is
- 3
The divisors add up to 50616; without 21462 itself that is 29154, so 21462 is abundant (29154 is more than 21462). Euler's totient φ(21462) = 6048 numbers up to 21462 share no factor with it.
- 4
The digits of 21462 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21462 = 2 \times 3 \times 7^{2} \times 73 \]21462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 50616 |
| Euler totient φ(n) | 6048 |
| Square | 460617444 |
| Cube | 9885771583128 |
| Square root | 146.499147 (= 7√438) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.1462 × |
21462 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand four hundred and sixty-two |
| Binary (base 2) | 101001111010110 |
| Octal (base 8) | 51726 |
| Hexadecimal (base 16) | 53D6 |
| Base 3 | 1002102220 |
| As time | 21462 seconds = 5 h 57 min 42 s |
Is 21462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21462 ÷ 2 = 10731) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21462 ÷ 3 = 7154) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (21462 ÷ 6 = 3577) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (21462 ÷ 7 = 3066) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21462 a prime number?
No. 21462 = 2 × 3 × × 73, so it is divisible by 2.
What are the factors of 21462?
1, 2, 3, 6, 7, 14, 21, 42, 49, 73, 98, 146, 147, 219, 294, 438, 511, 1022, 1533, 3066, 3577, 7154, 10731, 21462.
What is 21462 in binary?
101001111010110 (hexadecimal 53D6, octal 51726).
What is the square root of 21462?
About 146.4991, exactly 7√438.
Is 21462 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 21462?
It is a composite number with 24 divisors.