The number 21484
21484 is a composite number with 12 divisors. Its prime factorisation is × 41 × 131. Divisors (12): 1, 2, 4, 41, 82, 131, 164, 262, 524, 5371, 10742, 21484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21484 is composite. Its prime factorisation is
- 3
The divisors add up to 38808; without 21484 itself that is 17324, so 21484 is deficient (17324 is less than 21484). Euler's totient φ(21484) = 10400 numbers up to 21484 share no factor with it.
- 4
The digits of 21484 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21484 = 2^{2} \times 41 \times 131 \]21484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 38808 |
| Euler totient φ(n) | 10400 |
| Square | 461562256 |
| Cube | 9916203507904 |
| Square root | 146.574213 (= 2√5371) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.1484 × |
21484 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand four hundred and eighty-four |
| Binary (base 2) | 101001111101100 |
| Octal (base 8) | 51754 |
| Hexadecimal (base 16) | 53EC |
| Base 3 | 1002110201 |
| As time | 21484 seconds = 5 h 58 min 4 s |
Is 21484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21484 ÷ 2 = 10742) | 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 (21484 ÷ 4 = 5371) | 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 1) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21484 a prime number?
No. 21484 = × 41 × 131, so it is divisible by 2.
What are the factors of 21484?
1, 2, 4, 41, 82, 131, 164, 262, 524, 5371, 10742, 21484.
What is 21484 in binary?
101001111101100 (hexadecimal 53EC, octal 51754).
What is the square root of 21484?
About 146.5742, exactly 2√5371.
Is 21484 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 21484?
It is a composite number with 12 divisors.