The number 21464
21464 is a composite number with 8 divisors. Its prime factorisation is × 2683. Divisors (8): 1, 2, 4, 8, 2683, 5366, 10732, 21464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21464 is composite. Its prime factorisation is
- 3
The divisors add up to 40260; without 21464 itself that is 18796, so 21464 is deficient (18796 is less than 21464). Euler's totient φ(21464) = 10728 numbers up to 21464 share no factor with it.
- 4
The digits of 21464 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21464 = 2^{3} \times 2683 \]21464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40260 |
| Euler totient φ(n) | 10728 |
| Square | 460703296 |
| Cube | 9888535545344 |
| Square root | 146.505973 (= 2√5366) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.1464 × |
21464 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand four hundred and sixty-four |
| Binary (base 2) | 101001111011000 |
| Octal (base 8) | 51730 |
| Hexadecimal (base 16) | 53D8 |
| Base 3 | 1002102222 |
| As time | 21464 seconds = 5 h 57 min 44 s |
Is 21464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21464 ÷ 2 = 10732) | 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 | Yes (21464 ÷ 4 = 5366) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 2) | 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 | Yes (21464 ÷ 8 = 2683) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21464 a prime number?
No. 21464 = × 2683, so it is divisible by 2.
What are the factors of 21464?
1, 2, 4, 8, 2683, 5366, 10732, 21464.
What is 21464 in binary?
101001111011000 (hexadecimal 53D8, octal 51730).
What is the square root of 21464?
About 146.5060, exactly 2√5366.
Is 21464 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 21464?
It is a composite number with 8 divisors.