The number 3435
3435 is a binary palindrome (110101101011). Its prime factorisation is 3 × 5 × 229. Divisors (8): 1, 3, 5, 15, 229, 687, 1145, 3435.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3435: a binary palindrome (110101101011); a Harshad number: divisible by its digit sum 15.
- 2
3435 is composite. Its prime factorisation is
- 3
The divisors add up to 5520; without 3435 itself that is 2085, so 3435 is deficient (2085 is less than 3435). Euler's totient φ(3435) = 1824 numbers up to 3435 share no factor with it.
- 4
The digits of 3435 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3435 = 3 \times 5 \times 229 \]
3435 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5520 |
| Euler totient φ(n) | 1824 |
| Square | 11799225 |
| Cube | 40530337875 |
| Square root | 58.608873 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.435 × |
3435 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and thirty-five |
| Roman numerals | MMMCDXXXV |
| Binary (base 2) | 110101101011 |
| Octal (base 8) | 6553 |
| Hexadecimal (base 16) | D6B |
| Base 3 | 11201020 |
| As time | 3435 seconds = 57 min 15 s |
Is 3435 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 | Yes (3435 ÷ 3 = 1145) | 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 (3435 ÷ 5 = 687) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3435 a prime number?
No. 3435 = 3 × 5 × 229, so it is divisible by 3.
What are the factors of 3435?
1, 3, 5, 15, 229, 687, 1145, 3435.
What is 3435 in binary?
110101101011 (hexadecimal D6B, octal 6553).
What is the square root of 3435?
About 58.6089.
What is 3435 in Roman numerals?
MMMCDXXXV.
Is 3435 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3435?
3435 is a binary palindrome (110101101011); a Harshad number: divisible by its digit sum 15.