The number 3521
3521 is a composite number with 4 divisors. Its prime factorisation is 7 × 503. Divisors (4): 1, 7, 503, 3521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3521: a semiprime: 7 × 503, the product of two primes.
- 2
3521 is composite. Its prime factorisation is
- 3
The divisors add up to 4032; without 3521 itself that is 511, so 3521 is deficient (511 is less than 3521). Euler's totient φ(3521) = 3012 numbers up to 3521 share no factor with it.
- 4
The digits of 3521 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3521 = 7 \times 503 \]
3521 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4032 |
| Euler totient φ(n) | 3012 |
| Square | 12397441 |
| Cube | 43651389761 |
| Square root | 59.338015 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.521 × |
3521 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and twenty-one |
| Roman numerals | MMMDXXI |
| Binary (base 2) | 110111000001 |
| Octal (base 8) | 6701 |
| Hexadecimal (base 16) | DC1 |
| Base 3 | 11211102 |
| As time | 3521 seconds = 58 min 41 s |
Is 3521 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 2) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3521 ÷ 7 = 503) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3521 a prime number?
No. 3521 = 7 × 503, so it is divisible by 7.
What are the factors of 3521?
1, 7, 503, 3521.
What is 3521 in binary?
110111000001 (hexadecimal DC1, octal 6701).
What is the square root of 3521?
About 59.3380.
What is 3521 in Roman numerals?
MMMDXXI.
Is 3521 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3521?
3521 is a semiprime: 7 × 503, the product of two primes.