The number 5365
5365 is a composite number with 8 divisors. Its prime factorisation is 5 × 29 × 37. Divisors (8): 1, 5, 29, 37, 145, 185, 1073, 5365.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5365 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5365 is composite. Its prime factorisation is
- 3
The divisors add up to 6840; without 5365 itself that is 1475, so 5365 is deficient (1475 is less than 5365). Euler's totient φ(5365) = 4032 numbers up to 5365 share no factor with it.
- 4
The digits of 5365 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5365 = 5 \times 29 \times 37 \]
5365 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6840 |
| Euler totient φ(n) | 4032 |
| Square | 28783225 |
| Cube | 154422002125 |
| Square root | 73.246160 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 72 |
| Scientific notation | 5.365 × |
5365 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and sixty-five |
| Binary (base 2) | 1010011110101 |
| Octal (base 8) | 12365 |
| Hexadecimal (base 16) | 14F5 |
| Base 3 | 21100201 |
| As time | 5365 seconds = 1 h 29 min 25 s |
Is 5365 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 1) | 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 (5365 ÷ 5 = 1073) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5365 a prime number?
No. 5365 = 5 × 29 × 37, so it is divisible by 5.
What are the factors of 5365?
1, 5, 29, 37, 145, 185, 1073, 5365.
What is 5365 in binary?
1010011110101 (hexadecimal 14F5, octal 12365).
What is the square root of 5365?
About 73.2462.
Is 5365 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5365?
It is a composite number with 8 divisors.