The number 3535
3535 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 101. Divisors (8): 1, 5, 7, 35, 101, 505, 707, 3535.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3535: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3535 is composite. Its prime factorisation is
- 3
The divisors add up to 4896; without 3535 itself that is 1361, so 3535 is deficient (1361 is less than 3535). Euler's totient φ(3535) = 2400 numbers up to 3535 share no factor with it.
- 4
The digits of 3535 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 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3535 = 5 \times 7 \times 101 \]
3535 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4896 |
| Euler totient φ(n) | 2400 |
| Square | 12496225 |
| Cube | 44174155375 |
| Square root | 59.455866 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.535 × |
3535 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and thirty-five |
| Roman numerals | MMMDXXXV |
| Binary (base 2) | 110111001111 |
| Octal (base 8) | 6717 |
| Hexadecimal (base 16) | DCF |
| Base 3 | 11211221 |
| As time | 3535 seconds = 58 min 55 s |
Is 3535 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 (3535 ÷ 5 = 707) | 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 | Yes (3535 ÷ 7 = 505) | 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 | No (remainder 4) | 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 3535 a prime number?
No. 3535 = 5 × 7 × 101, so it is divisible by 5.
What are the factors of 3535?
1, 5, 7, 35, 101, 505, 707, 3535.
What is 3535 in binary?
110111001111 (hexadecimal DCF, octal 6717).
What is the square root of 3535?
About 59.4559.
What is 3535 in Roman numerals?
MMMDXXXV.
Is 3535 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3535?
3535 is a happy number: repeatedly adding the squares of its digits reaches 1.