The number 5335
5335 is a palindrome: it reads 5335 backwards too. Its prime factorisation is 5 × 11 × 97. Divisors (8): 1, 5, 11, 55, 97, 485, 1067, 5335.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5335: a palindrome: it reads 5335 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5335 is composite. Its prime factorisation is
- 3
The divisors add up to 7056; without 5335 itself that is 1721, so 5335 is deficient (1721 is less than 5335). Euler's totient φ(5335) = 3840 numbers up to 5335 share no factor with it.
- 4
The digits of 5335 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
\[ 5335 = 5 \times 11 \times 97 \]
5335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7056 |
| Euler totient φ(n) | 3840 |
| Square | 28462225 |
| Cube | 151845970375 |
| Square root | 73.041084 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 5.335 × |
5335 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and thirty-five |
| Binary (base 2) | 1010011010111 |
| Octal (base 8) | 12327 |
| Hexadecimal (base 16) | 14D7 |
| Base 3 | 21022121 |
| As time | 5335 seconds = 1 h 28 min 55 s |
Is 5335 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5335 ÷ 5 = 1067) | 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 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 7) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5335 ÷ 11 = 485) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5335 a prime number?
No. 5335 = 5 × 11 × 97, so it is divisible by 5.
What are the factors of 5335?
1, 5, 11, 55, 97, 485, 1067, 5335.
What is 5335 in binary?
1010011010111 (hexadecimal 14D7, octal 12327).
What is the square root of 5335?
About 73.0411.
Is 5335 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5335?
5335 is a palindrome: it reads 5335 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.