The number 5336
5336 is a composite number with 16 divisors. Its prime factorisation is × 23 × 29. Divisors (16): 1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5336: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5336 is composite. Its prime factorisation is
- 3
The divisors add up to 10800; without 5336 itself that is 5464, so 5336 is abundant (5464 is more than 5336). Euler's totient φ(5336) = 2464 numbers up to 5336 share no factor with it.
- 4
The digits of 5336 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5336 = 2^{3} \times 23 \times 29 \]5336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10800 |
| Euler totient φ(n) | 2464 |
| Square | 28472896 |
| Cube | 151931373056 |
| Square root | 73.047929 (= 2√1334) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 147 |
| Scientific notation | 5.336 × |
5336 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and thirty-six |
| Binary (base 2) | 1010011011000 |
| Octal (base 8) | 12330 |
| Hexadecimal (base 16) | 14D8 |
| Base 3 | 21022122 |
| As time | 5336 seconds = 1 h 28 min 56 s |
Is 5336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5336 ÷ 2 = 2668) | 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 | Yes (5336 ÷ 4 = 1334) | 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 | No (remainder 2) | 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 | Yes (5336 ÷ 8 = 667) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5336 a prime number?
No. 5336 = × 23 × 29, so it is divisible by 2.
What are the factors of 5336?
1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336.
What is 5336 in binary?
1010011011000 (hexadecimal 14D8, octal 12330).
What is the square root of 5336?
About 73.0479, exactly 2√1334.
Is 5336 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5336?
5336 is a happy number: repeatedly adding the squares of its digits reaches 1.