The number 5488
5488 is a composite number with 20 divisors. Its prime factorisation is × . Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686 … 5488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5488 is composite. Its prime factorisation is
- 3
The divisors add up to 12400; without 5488 itself that is 6912, so 5488 is abundant (6912 is more than 5488). Euler's totient φ(5488) = 2352 numbers up to 5488 share no factor with it.
- 4
The digits of 5488 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5488 = 2^{4} \times 7^{3} \]5488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 12400 |
| Euler totient φ(n) | 2352 |
| Square | 30118144 |
| Cube | 165288374272 |
| Square root | 74.081037 (= 28√7) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.488 × |
5488 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and eighty-eight |
| Binary (base 2) | 1010101110000 |
| Octal (base 8) | 12560 |
| Hexadecimal (base 16) | 1570 |
| Base 3 | 21112021 |
| As time | 5488 seconds = 1 h 31 min 28 s |
Is 5488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5488 ÷ 2 = 2744) | 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 (5488 ÷ 4 = 1372) | 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 | Yes (5488 ÷ 7 = 784) | 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 | Yes (5488 ÷ 8 = 686) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | 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 5488 a prime number?
No. 5488 = × , so it is divisible by 2.
What are the factors of 5488?
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488.
What is 5488 in binary?
1010101110000 (hexadecimal 1570, octal 12560).
What is the square root of 5488?
About 74.0810, exactly 28√7.
Is 5488 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 5488?
It is a composite number with 20 divisors.