The number 3522
3522 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 587. Divisors (8): 1, 2, 3, 6, 587, 1174, 1761, 3522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3522 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3522 is composite. Its prime factorisation is
- 3
The divisors add up to 7056; without 3522 itself that is 3534, so 3522 is abundant (3534 is more than 3522). Euler's totient φ(3522) = 1172 numbers up to 3522 share no factor with it.
- 4
The digits of 3522 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3522 = 2 \times 3 \times 587 \]
3522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7056 |
| Euler totient φ(n) | 1172 |
| Square | 12404484 |
| Cube | 43688592648 |
| Square root | 59.346440 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.522 × |
3522 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and twenty-two |
| Roman numerals | MMMDXXII |
| Binary (base 2) | 110111000010 |
| Octal (base 8) | 6702 |
| Hexadecimal (base 16) | DC2 |
| Base 3 | 11211110 |
| As time | 3522 seconds = 58 min 42 s |
Is 3522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3522 ÷ 2 = 1761) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3522 ÷ 3 = 1174) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3522 ÷ 6 = 587) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3522 a prime number?
No. 3522 = 2 × 3 × 587, so it is divisible by 2.
What are the factors of 3522?
1, 2, 3, 6, 587, 1174, 1761, 3522.
What is 3522 in binary?
110111000010 (hexadecimal DC2, octal 6702).
What is the square root of 3522?
About 59.3464.
What is 3522 in Roman numerals?
MMMDXXII.
Is 3522 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3522?
It is a composite number with 8 divisors.