The number 21054
21054 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 29. Divisors (24): 1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 121, 174, 242, 319, 363 … 21054.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21054 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21054 is composite. Its prime factorisation is
- 3
The divisors add up to 47880; without 21054 itself that is 26826, so 21054 is abundant (26826 is more than 21054). Euler's totient φ(21054) = 6160 numbers up to 21054 share no factor with it.
- 4
The digits of 21054 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21054 = 2 \times 3 \times 11^{2} \times 29 \]21054 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 47880 |
| Euler totient φ(n) | 6160 |
| Square | 443270916 |
| Cube | 9332625865464 |
| Square root | 145.099966 (= 11√174) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.1054 × |
21054 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand and fifty-four |
| Binary (base 2) | 101001000111110 |
| Octal (base 8) | 51076 |
| Hexadecimal (base 16) | 523E |
| Base 3 | 1001212210 |
| As time | 21054 seconds = 5 h 50 min 54 s |
Is 21054 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21054 ÷ 2 = 10527) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21054 ÷ 3 = 7018) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (21054 ÷ 6 = 3509) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (21054 ÷ 11 = 1914) | 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 21054 a prime number?
No. 21054 = 2 × 3 × × 29, so it is divisible by 2.
What are the factors of 21054?
1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 121, 174, 242, 319, 363, 638, 726, 957, 1914, 3509, 7018, 10527, 21054.
What is 21054 in binary?
101001000111110 (hexadecimal 523E, octal 51076).
What is the square root of 21054?
About 145.1000, exactly 11√174.
Is 21054 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 21054?
It is a composite number with 24 divisors.