The number 3536
3536 is a composite number with 20 divisors. Its prime factorisation is × 13 × 17. Divisors (20): 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272 … 3536.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3536: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
3536 is composite. Its prime factorisation is
- 3
The divisors add up to 7812; without 3536 itself that is 4276, so 3536 is abundant (4276 is more than 3536). Euler's totient φ(3536) = 1536 numbers up to 3536 share no factor with it.
- 4
The digits of 3536 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 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3536 = 2^{4} \times 13 \times 17 \]3536 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 7812 |
| Euler totient φ(n) | 1536 |
| Square | 12503296 |
| Cube | 44211654656 |
| Square root | 59.464275 (= 4√221) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.536 × |
3536 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and thirty-six |
| Roman numerals | MMMDXXXVI |
| Binary (base 2) | 110111010000 |
| Octal (base 8) | 6720 |
| Hexadecimal (base 16) | DD0 |
| Base 3 | 11211222 |
| As time | 3536 seconds = 58 min 56 s |
Is 3536 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3536 ÷ 2 = 1768) | 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 (3536 ÷ 4 = 884) | 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 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 | Yes (3536 ÷ 8 = 442) | 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 5) | 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 3536 a prime number?
No. 3536 = × 13 × 17, so it is divisible by 2.
What are the factors of 3536?
1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536.
What is 3536 in binary?
110111010000 (hexadecimal DD0, octal 6720).
What is the square root of 3536?
About 59.4643, exactly 4√221.
What is 3536 in Roman numerals?
MMMDXXXVI.
Is 3536 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3536?
3536 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.