The number 5538
5538 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 71. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5538 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5538 is composite. Its prime factorisation is
- 3
The divisors add up to 12096; without 5538 itself that is 6558, so 5538 is abundant (6558 is more than 5538). Euler's totient φ(5538) = 1680 numbers up to 5538 share no factor with it.
- 4
The digits of 5538 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5538 = 2 \times 3 \times 13 \times 71 \]
5538 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12096 |
| Euler totient φ(n) | 1680 |
| Square | 30669444 |
| Cube | 169847380872 |
| Square root | 74.417740 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 5.538 × |
5538 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and thirty-eight |
| Binary (base 2) | 1010110100010 |
| Octal (base 8) | 12642 |
| Hexadecimal (base 16) | 15A2 |
| Base 3 | 21121010 |
| As time | 5538 seconds = 1 h 32 min 18 s |
Is 5538 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5538 ÷ 2 = 2769) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5538 ÷ 3 = 1846) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5538 ÷ 6 = 923) | 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 2) | 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 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5538 a prime number?
No. 5538 = 2 × 3 × 13 × 71, so it is divisible by 2.
What are the factors of 5538?
1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538.
What is 5538 in binary?
1010110100010 (hexadecimal 15A2, octal 12642).
What is the square root of 5538?
About 74.4177.
Is 5538 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5538?
It is a composite number with 16 divisors.