The number 5440
5440 is a composite number with 28 divisors. Its prime factorisation is × 5 × 17. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85 … 5440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5440 is composite. Its prime factorisation is
- 3
The divisors add up to 13716; without 5440 itself that is 8276, so 5440 is abundant (8276 is more than 5440). Euler's totient φ(5440) = 2048 numbers up to 5440 share no factor with it.
- 4
The digits of 5440 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 15 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5440 = 2^{6} \times 5 \times 17 \]5440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 13716 |
| Euler totient φ(n) | 2048 |
| Square | 29593600 |
| Cube | 160989184000 |
| Square root | 73.756356 (= 8√85) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 15 |
| Scientific notation | 5.44 × |
5440 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and forty |
| Binary (base 2) | 1010101000000 |
| Octal (base 8) | 12500 |
| Hexadecimal (base 16) | 1540 |
| Base 3 | 21110111 |
| As time | 5440 seconds = 1 h 30 min 40 s |
Is 5440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5440 ÷ 2 = 2720) | 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 (5440 ÷ 4 = 1360) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5440 ÷ 5 = 1088) | 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 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 | Yes (5440 ÷ 8 = 680) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5440 ÷ 10 = 544) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 5440 a prime number?
No. 5440 = × 5 × 17, so it is divisible by 2.
What are the factors of 5440?
1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440.
What is 5440 in binary?
1010101000000 (hexadecimal 1540, octal 12500).
What is the square root of 5440?
About 73.7564, exactly 8√85.
Is 5440 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5440?
It is a composite number with 28 divisors.