The number 5456
5456 is a composite number with 20 divisors. Its prime factorisation is × 11 × 31. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496 … 5456.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5456 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5456 is composite. Its prime factorisation is
- 3
The divisors add up to 11904; without 5456 itself that is 6448, so 5456 is abundant (6448 is more than 5456). Euler's totient φ(5456) = 2400 numbers up to 5456 share no factor with it.
- 4
The digits of 5456 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 15 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5456 = 2^{4} \times 11 \times 31 \]5456 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 11904 |
| Euler totient φ(n) | 2400 |
| Square | 29767936 |
| Cube | 162413858816 |
| Square root | 73.864741 (= 4√341) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 15 |
| Scientific notation | 5.456 × |
5456 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and fifty-six |
| Binary (base 2) | 1010101010000 |
| Octal (base 8) | 12520 |
| Hexadecimal (base 16) | 1550 |
| Base 3 | 21111002 |
| As time | 5456 seconds = 1 h 30 min 56 s |
Is 5456 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5456 ÷ 2 = 2728) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5456 ÷ 4 = 1364) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (5456 ÷ 8 = 682) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5456 ÷ 11 = 496) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5456 a prime number?
No. 5456 = × 11 × 31, so it is divisible by 2.
What are the factors of 5456?
1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456.
What is 5456 in binary?
1010101010000 (hexadecimal 1550, octal 12520).
What is the square root of 5456?
About 73.8647, exactly 4√341.
Is 5456 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5456?
It is a composite number with 20 divisors.