The number 54021
54021 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1637. Divisors (8): 1, 3, 11, 33, 1637, 4911, 18007, 54021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54021 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54021 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 54021 itself that is 24603, so 54021 is deficient (24603 is less than 54021). Euler's totient φ(54021) = 32720 numbers up to 54021 share no factor with it.
- 4
The digits of 54021 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54021 = 3 \times 11 \times 1637 \]
54021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 32720 |
| Square | 2918268441 |
| Cube | 157647779451261 |
| Square root | 232.424181 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.4021 × |
54021 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and twenty-one |
| Binary (base 2) | 1101001100000101 |
| Octal (base 8) | 151405 |
| Hexadecimal (base 16) | D305 |
| Base 3 | 2202002210 |
| As time | 54021 seconds = 15 h 0 min 21 s |
Is 54021 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54021 ÷ 3 = 18007) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (54021 ÷ 11 = 4911) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54021 a prime number?
No. 54021 = 3 × 11 × 1637, so it is divisible by 3.
What are the factors of 54021?
1, 3, 11, 33, 1637, 4911, 18007, 54021.
What is 54021 in binary?
1101001100000101 (hexadecimal D305, octal 151405).
What is the square root of 54021?
About 232.4242.
Is 54021 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 54021?
It is a composite number with 8 divisors.