The number 5406
5406 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 53. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5406 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5406 is composite. Its prime factorisation is
- 3
The divisors add up to 11664; without 5406 itself that is 6258, so 5406 is abundant (6258 is more than 5406). Euler's totient φ(5406) = 1664 numbers up to 5406 share no factor with it.
- 4
The digits of 5406 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5406 = 2 \times 3 \times 17 \times 53 \]
5406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 11664 |
| Euler totient φ(n) | 1664 |
| Square | 29224836 |
| Cube | 157989463416 |
| Square root | 73.525506 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 160 |
| Scientific notation | 5.406 × |
5406 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and six |
| Binary (base 2) | 1010100011110 |
| Octal (base 8) | 12436 |
| Hexadecimal (base 16) | 151E |
| Base 3 | 21102020 |
| As time | 5406 seconds = 1 h 30 min 6 s |
Is 5406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5406 ÷ 2 = 2703) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5406 ÷ 3 = 1802) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (5406 ÷ 6 = 901) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5406 a prime number?
No. 5406 = 2 × 3 × 17 × 53, so it is divisible by 2.
What are the factors of 5406?
1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406.
What is 5406 in binary?
1010100011110 (hexadecimal 151E, octal 12436).
What is the square root of 5406?
About 73.5255.
Is 5406 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5406?
It is a composite number with 16 divisors.