The number 21244
21244 is a composite number with 12 divisors. Its prime factorisation is × 47 × 113. Divisors (12): 1, 2, 4, 47, 94, 113, 188, 226, 452, 5311, 10622, 21244.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21244 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21244 is composite. Its prime factorisation is
- 3
The divisors add up to 38304; without 21244 itself that is 17060, so 21244 is deficient (17060 is less than 21244). Euler's totient φ(21244) = 10304 numbers up to 21244 share no factor with it.
- 4
The digits of 21244 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21244 = 2^{2} \times 47 \times 113 \]21244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 38304 |
| Euler totient φ(n) | 10304 |
| Square | 451307536 |
| Cube | 9587577294784 |
| Square root | 145.753216 (= 2√5311) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.1244 × |
21244 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand two hundred and forty-four |
| Binary (base 2) | 101001011111100 |
| Octal (base 8) | 51374 |
| Hexadecimal (base 16) | 52FC |
| Base 3 | 1002010211 |
| As time | 21244 seconds = 5 h 54 min 4 s |
Is 21244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21244 ÷ 2 = 10622) | 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 (21244 ÷ 4 = 5311) | 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 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21244 a prime number?
No. 21244 = × 47 × 113, so it is divisible by 2.
What are the factors of 21244?
1, 2, 4, 47, 94, 113, 188, 226, 452, 5311, 10622, 21244.
What is 21244 in binary?
101001011111100 (hexadecimal 52FC, octal 51374).
What is the square root of 21244?
About 145.7532, exactly 2√5311.
Is 21244 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 21244?
It is a composite number with 12 divisors.