The number 54028
54028 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1039. Divisors (12): 1, 2, 4, 13, 26, 52, 1039, 2078, 4156, 13507, 27014, 54028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54028: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
54028 is composite. Its prime factorisation is
- 3
The divisors add up to 101920; without 54028 itself that is 47892, so 54028 is deficient (47892 is less than 54028). Euler's totient φ(54028) = 24912 numbers up to 54028 share no factor with it.
- 4
The digits of 54028 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54028 = 2^{2} \times 13 \times 1039 \]54028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 101920 |
| Euler totient φ(n) | 24912 |
| Square | 2919024784 |
| Cube | 157709071029952 |
| Square root | 232.439239 (= 2√13507) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.4028 × |
54028 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and twenty-eight |
| Binary (base 2) | 1101001100001100 |
| Octal (base 8) | 151414 |
| Hexadecimal (base 16) | D30C |
| Base 3 | 2202010001 |
| As time | 54028 seconds = 15 h 0 min 28 s |
Is 54028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54028 ÷ 2 = 27014) | 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 (54028 ÷ 4 = 13507) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 54028 a prime number?
No. 54028 = × 13 × 1039, so it is divisible by 2.
What are the factors of 54028?
1, 2, 4, 13, 26, 52, 1039, 2078, 4156, 13507, 27014, 54028.
What is 54028 in binary?
1101001100001100 (hexadecimal D30C, octal 151414).
What is the square root of 54028?
About 232.4392, exactly 2√13507.
Is 54028 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 54028?
54028 is a happy number: repeatedly adding the squares of its digits reaches 1.