The number 536
536 is a composite number with 8 divisors. Its prime factorisation is × 67. Divisors (8): 1, 2, 4, 8, 67, 134, 268, 536.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 536: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
536 is composite. Its prime factorisation is
- 3
The divisors add up to 1020; without 536 itself that is 484, so 536 is deficient (484 is less than 536). Euler's totient φ(536) = 264 numbers up to 536 share no factor with it.
- 4
The digits of 536 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 536 = 2^{3} \times 67 \]536 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1020 |
| Euler totient φ(n) | 264 |
| Square | 287296 |
| Cube | 153990656 |
| Square root | 23.151674 (= 2√134) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 30 |
| Scientific notation | 5.36 × |
536 in other forms
| Form | Value |
|---|---|
| In words | five hundred and thirty-six |
| Roman numerals | DXXXVI |
| Binary (base 2) | 1000011000 |
| Octal (base 8) | 1030 |
| Hexadecimal (base 16) | 218 |
| Base 3 | 201212 |
| As time | 536 seconds = 8 min 56 s |
Is 536 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (536 ÷ 2 = 268) | 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 (536 ÷ 4 = 134) | 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 4) | 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 (536 ÷ 8 = 67) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | 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 536 a prime number?
No. 536 = × 67, so it is divisible by 2.
What are the factors of 536?
1, 2, 4, 8, 67, 134, 268, 536.
What is 536 in binary?
1000011000 (hexadecimal 218, octal 1030).
What is the square root of 536?
About 23.1517, exactly 2√134.
What is 536 in Roman numerals?
DXXXVI.
Is 536 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 536?
536 is a happy number: repeatedly adding the squares of its digits reaches 1.