The number 5362
5362 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 383. Divisors (8): 1, 2, 7, 14, 383, 766, 2681, 5362.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5362 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5362 is composite. Its prime factorisation is
- 3
The divisors add up to 9216; without 5362 itself that is 3854, so 5362 is deficient (3854 is less than 5362). Euler's totient φ(5362) = 2292 numbers up to 5362 share no factor with it.
- 4
The digits of 5362 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5362 = 2 \times 7 \times 383 \]
5362 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9216 |
| Euler totient φ(n) | 2292 |
| Square | 28751044 |
| Cube | 154163097928 |
| Square root | 73.225679 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 5.362 × |
5362 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and sixty-two |
| Binary (base 2) | 1010011110010 |
| Octal (base 8) | 12362 |
| Hexadecimal (base 16) | 14F2 |
| Base 3 | 21100121 |
| As time | 5362 seconds = 1 h 29 min 22 s |
Is 5362 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5362 ÷ 2 = 2681) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5362 ÷ 7 = 766) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5362 a prime number?
No. 5362 = 2 × 7 × 383, so it is divisible by 2.
What are the factors of 5362?
1, 2, 7, 14, 383, 766, 2681, 5362.
What is 5362 in binary?
1010011110010 (hexadecimal 14F2, octal 12362).
What is the square root of 5362?
About 73.2257.
Is 5362 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5362?
It is a composite number with 8 divisors.