The number 21362
21362 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 971. Divisors (8): 1, 2, 11, 22, 971, 1942, 10681, 21362.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21362 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21362 is composite. Its prime factorisation is
- 3
The divisors add up to 34992; without 21362 itself that is 13630, so 21362 is deficient (13630 is less than 21362). Euler's totient φ(21362) = 9700 numbers up to 21362 share no factor with it.
- 4
The digits of 21362 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21362 = 2 \times 11 \times 971 \]
21362 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34992 |
| Euler totient φ(n) | 9700 |
| Square | 456335044 |
| Cube | 9748229209928 |
| Square root | 146.157449 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.1362 × |
21362 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and sixty-two |
| Binary (base 2) | 101001101110010 |
| Octal (base 8) | 51562 |
| Hexadecimal (base 16) | 5372 |
| Base 3 | 1002022012 |
| As time | 21362 seconds = 5 h 56 min 2 s |
Is 21362 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21362 ÷ 2 = 10681) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (21362 ÷ 11 = 1942) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21362 a prime number?
No. 21362 = 2 × 11 × 971, so it is divisible by 2.
What are the factors of 21362?
1, 2, 11, 22, 971, 1942, 10681, 21362.
What is 21362 in binary?
101001101110010 (hexadecimal 5372, octal 51562).
What is the square root of 21362?
About 146.1574.
Is 21362 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 21362?
It is a composite number with 8 divisors.