The number 535
535 is a palindrome: it reads 535 backwards too. Its prime factorisation is 5 × 107. Divisors (4): 1, 5, 107, 535.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 535: a palindrome: it reads 535 backwards too; a semiprime: 5 × 107, the product of two primes.
- 2
535 is composite. Its prime factorisation is
- 3
The divisors add up to 648; without 535 itself that is 113, so 535 is deficient (113 is less than 535). Euler's totient φ(535) = 424 numbers up to 535 share no factor with it.
- 4
The digits of 535 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 535 = 5 \times 107 \]
535 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 648 |
| Euler totient φ(n) | 424 |
| Square | 286225 |
| Cube | 153130375 |
| Square root | 23.130067 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 22 |
| Scientific notation | 5.35 × |
535 in other forms
| Form | Value |
|---|---|
| In words | five hundred and thirty-five |
| Roman numerals | DXXXV |
| Binary (base 2) | 1000010111 |
| Octal (base 8) | 1027 |
| Hexadecimal (base 16) | 217 |
| Base 3 | 201211 |
| As time | 535 seconds = 8 min 55 s |
Is 535 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 (535 ÷ 5 = 107) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | 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 535 a prime number?
No. 535 = 5 × 107, so it is divisible by 5.
What are the factors of 535?
1, 5, 107, 535.
What is 535 in binary?
1000010111 (hexadecimal 217, octal 1027).
What is the square root of 535?
About 23.1301.
What is 535 in Roman numerals?
DXXXV.
Is 535 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 535?
535 is a palindrome: it reads 535 backwards too; a semiprime: 5 × 107, the product of two primes.