The number 5408
5408 is a composite number with 18 divisors. Its prime factorisation is × . Divisors (18): 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352 … 5408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5408 is composite. Its prime factorisation is
- 3
The divisors add up to 11529; without 5408 itself that is 6121, so 5408 is abundant (6121 is more than 5408). Euler's totient φ(5408) = 2496 numbers up to 5408 share no factor with it.
- 4
The digits of 5408 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5408 = 2^{5} \times 13^{2} \]5408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 11529 |
| Euler totient φ(n) | 2496 |
| Square | 29246464 |
| Cube | 158164877312 |
| Square root | 73.539105 (= 52√2) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.408 × |
5408 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and eight |
| Binary (base 2) | 1010100100000 |
| Octal (base 8) | 12440 |
| Hexadecimal (base 16) | 1520 |
| Base 3 | 21102022 |
| As time | 5408 seconds = 1 h 30 min 8 s |
Is 5408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5408 ÷ 2 = 2704) | 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 (5408 ÷ 4 = 1352) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (5408 ÷ 8 = 676) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | 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 5408 a prime number?
No. 5408 = × , so it is divisible by 2.
What are the factors of 5408?
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408.
What is 5408 in binary?
1010100100000 (hexadecimal 1520, octal 12440).
What is the square root of 5408?
About 73.5391, exactly 52√2.
Is 5408 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5408?
It is a composite number with 18 divisors.