The number 5428
5428 is a composite number with 12 divisors. Its prime factorisation is × 23 × 59. Divisors (12): 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5428: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5428 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 5428 itself that is 4652, so 5428 is deficient (4652 is less than 5428). Euler's totient φ(5428) = 2552 numbers up to 5428 share no factor with it.
- 4
The digits of 5428 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5428 = 2^{2} \times 23 \times 59 \]5428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 2552 |
| Square | 29463184 |
| Cube | 159926162752 |
| Square root | 73.674962 (= 2√1357) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.428 × |
5428 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and twenty-eight |
| Binary (base 2) | 1010100110100 |
| Octal (base 8) | 12464 |
| Hexadecimal (base 16) | 1534 |
| Base 3 | 21110001 |
| As time | 5428 seconds = 1 h 30 min 28 s |
Is 5428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5428 ÷ 2 = 2714) | 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 (5428 ÷ 4 = 1357) | 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 3) | 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 5) | 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 5428 a prime number?
No. 5428 = × 23 × 59, so it is divisible by 2.
What are the factors of 5428?
1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428.
What is 5428 in binary?
1010100110100 (hexadecimal 1534, octal 12464).
What is the square root of 5428?
About 73.6750, exactly 2√1357.
Is 5428 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5428?
5428 is a happy number: repeatedly adding the squares of its digits reaches 1.