The number 5409
5409 is a composite number with 6 divisors. Its prime factorisation is × 601. Divisors (6): 1, 3, 9, 601, 1803, 5409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5409 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5409 is composite. Its prime factorisation is
- 3
The divisors add up to 7826; without 5409 itself that is 2417, so 5409 is deficient (2417 is less than 5409). Euler's totient φ(5409) = 3600 numbers up to 5409 share no factor with it.
- 4
The digits of 5409 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5409 = 3^{2} \times 601 \]5409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7826 |
| Euler totient φ(n) | 3600 |
| Square | 29257281 |
| Cube | 158252632929 |
| Square root | 73.545904 (= 3√601) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.409 × |
5409 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and nine |
| Binary (base 2) | 1010100100001 |
| Octal (base 8) | 12441 |
| Hexadecimal (base 16) | 1521 |
| Base 3 | 21102100 |
| As time | 5409 seconds = 1 h 30 min 9 s |
Is 5409 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5409 ÷ 3 = 1803) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5409 ÷ 9 = 601) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5409 a prime number?
No. 5409 = × 601, so it is divisible by 3.
What are the factors of 5409?
1, 3, 9, 601, 1803, 5409.
What is 5409 in binary?
1010100100001 (hexadecimal 1521, octal 12441).
What is the square root of 5409?
About 73.5459, exactly 3√601.
Is 5409 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5409?
It is a composite number with 6 divisors.