The number 3531
3531 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 107. Divisors (8): 1, 3, 11, 33, 107, 321, 1177, 3531.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3531: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3531 is composite. Its prime factorisation is
- 3
The divisors add up to 5184; without 3531 itself that is 1653, so 3531 is deficient (1653 is less than 3531). Euler's totient φ(3531) = 2120 numbers up to 3531 share no factor with it.
- 4
The digits of 3531 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 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3531 = 3 \times 11 \times 107 \]
3531 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5184 |
| Euler totient φ(n) | 2120 |
| Square | 12467961 |
| Cube | 44024370291 |
| Square root | 59.422218 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 100 |
| Scientific notation | 3.531 × |
3531 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and thirty-one |
| Roman numerals | MMMDXXXI |
| Binary (base 2) | 110111001011 |
| Octal (base 8) | 6713 |
| Hexadecimal (base 16) | DCB |
| Base 3 | 11211210 |
| As time | 3531 seconds = 58 min 51 s |
Is 3531 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 (3531 ÷ 3 = 1177) | 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 | No (remainder 1) | 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 3) | 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 3) | 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 | Yes (3531 ÷ 11 = 321) | 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 3531 a prime number?
No. 3531 = 3 × 11 × 107, so it is divisible by 3.
What are the factors of 3531?
1, 3, 11, 33, 107, 321, 1177, 3531.
What is 3531 in binary?
110111001011 (hexadecimal DCB, octal 6713).
What is the square root of 3531?
About 59.4222.
What is 3531 in Roman numerals?
MMMDXXXI.
Is 3531 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3531?
3531 is a happy number: repeatedly adding the squares of its digits reaches 1.