The number 5388
5388 is a composite number with 12 divisors. Its prime factorisation is × 3 × 449. Divisors (12): 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5388 is composite. Its prime factorisation is
- 3
The divisors add up to 12600; without 5388 itself that is 7212, so 5388 is abundant (7212 is more than 5388). Euler's totient φ(5388) = 1792 numbers up to 5388 share no factor with it.
- 4
The digits of 5388 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5388 = 2^{2} \times 3 \times 449 \]5388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 12600 |
| Euler totient φ(n) | 1792 |
| Square | 29030544 |
| Cube | 156416571072 |
| Square root | 73.402997 (= 2√1347) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 5.388 × |
5388 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and eighty-eight |
| Binary (base 2) | 1010100001100 |
| Octal (base 8) | 12414 |
| Hexadecimal (base 16) | 150C |
| Base 3 | 21101120 |
| As time | 5388 seconds = 1 h 29 min 48 s |
Is 5388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5388 ÷ 2 = 2694) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5388 ÷ 3 = 1796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5388 ÷ 4 = 1347) | 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 (5388 ÷ 6 = 898) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5388 ÷ 12 = 449) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5388 a prime number?
No. 5388 = × 3 × 449, so it is divisible by 2.
What are the factors of 5388?
1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388.
What is 5388 in binary?
1010100001100 (hexadecimal 150C, octal 12414).
What is the square root of 5388?
About 73.4030, exactly 2√1347.
Is 5388 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 5388?
It is a composite number with 12 divisors.