The number 3523
3523 is a composite number with 4 divisors. Its prime factorisation is 13 × 271. Divisors (4): 1, 13, 271, 3523.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3523: a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 271, the product of two primes.
- 2
3523 is composite. Its prime factorisation is
- 3
The divisors add up to 3808; without 3523 itself that is 285, so 3523 is deficient (285 is less than 3523). Euler's totient φ(3523) = 3240 numbers up to 3523 share no factor with it.
- 4
The digits of 3523 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 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3523 = 13 \times 271 \]
3523 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3808 |
| Euler totient φ(n) | 3240 |
| Square | 12411529 |
| Cube | 43725816667 |
| Square root | 59.354865 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.523 × |
3523 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and twenty-three |
| Roman numerals | MMMDXXIII |
| Binary (base 2) | 110111000011 |
| Octal (base 8) | 6703 |
| Hexadecimal (base 16) | DC3 |
| Base 3 | 11211111 |
| As time | 3523 seconds = 58 min 43 s |
Is 3523 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3523 a prime number?
No. 3523 = 13 × 271, so it is divisible by 13.
What are the factors of 3523?
1, 13, 271, 3523.
What is 3523 in binary?
110111000011 (hexadecimal DC3, octal 6703).
What is the square root of 3523?
About 59.3549.
What is 3523 in Roman numerals?
MMMDXXIII.
Is 3523 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3523?
3523 is a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 271, the product of two primes.