The number 3505
3505 is a composite number with 4 divisors. Its prime factorisation is 5 × 701. Divisors (4): 1, 5, 701, 3505.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3505: a semiprime: 5 × 701, the product of two primes.
- 2
3505 is composite. Its prime factorisation is
- 3
The divisors add up to 4212; without 3505 itself that is 707, so 3505 is deficient (707 is less than 3505). Euler's totient φ(3505) = 2800 numbers up to 3505 share no factor with it.
- 4
The digits of 3505 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3505 = 5 \times 701 \]
3505 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4212 |
| Euler totient φ(n) | 2800 |
| Square | 12285025 |
| Cube | 43059012625 |
| Square root | 59.203040 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.505 × |
3505 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and five |
| Roman numerals | MMMDV |
| Binary (base 2) | 110110110001 |
| Octal (base 8) | 6661 |
| Hexadecimal (base 16) | DB1 |
| Base 3 | 11210211 |
| As time | 3505 seconds = 58 min 25 s |
Is 3505 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3505 ÷ 5 = 701) | 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 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3505 a prime number?
No. 3505 = 5 × 701, so it is divisible by 5.
What are the factors of 3505?
1, 5, 701, 3505.
What is 3505 in binary?
110110110001 (hexadecimal DB1, octal 6661).
What is the square root of 3505?
About 59.2030.
What is 3505 in Roman numerals?
MMMDV.
Is 3505 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3505?
3505 is a semiprime: 5 × 701, the product of two primes.