The number 5405
5405 is a composite number with 8 divisors. Its prime factorisation is 5 × 23 × 47. Divisors (8): 1, 5, 23, 47, 115, 235, 1081, 5405.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5405 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5405 is composite. Its prime factorisation is
- 3
The divisors add up to 6912; without 5405 itself that is 1507, so 5405 is deficient (1507 is less than 5405). Euler's totient φ(5405) = 4048 numbers up to 5405 share no factor with it.
- 4
The digits of 5405 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5405 = 5 \times 23 \times 47 \]
5405 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6912 |
| Euler totient φ(n) | 4048 |
| Square | 29214025 |
| Cube | 157901805125 |
| Square root | 73.518705 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 160 |
| Scientific notation | 5.405 × |
5405 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and five |
| Binary (base 2) | 1010100011101 |
| Octal (base 8) | 12435 |
| Hexadecimal (base 16) | 151D |
| Base 3 | 21102012 |
| As time | 5405 seconds = 1 h 30 min 5 s |
Is 5405 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 | No (remainder 2) | 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 | Yes (5405 ÷ 5 = 1081) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5405 a prime number?
No. 5405 = 5 × 23 × 47, so it is divisible by 5.
What are the factors of 5405?
1, 5, 23, 47, 115, 235, 1081, 5405.
What is 5405 in binary?
1010100011101 (hexadecimal 151D, octal 12435).
What is the square root of 5405?
About 73.5187.
Is 5405 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5405?
It is a composite number with 8 divisors.