The number 3537
3537 is a composite number with 8 divisors. Its prime factorisation is × 131. Divisors (8): 1, 3, 9, 27, 131, 393, 1179, 3537.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3537 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3537 is composite. Its prime factorisation is
- 3
The divisors add up to 5280; without 3537 itself that is 1743, so 3537 is deficient (1743 is less than 3537). Euler's totient φ(3537) = 2340 numbers up to 3537 share no factor with it.
- 4
The digits of 3537 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3537 = 3^{3} \times 131 \]3537 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5280 |
| Euler totient φ(n) | 2340 |
| Square | 12510369 |
| Cube | 44249175153 |
| Square root | 59.472683 (= 3√393) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.537 × |
3537 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and thirty-seven |
| Roman numerals | MMMDXXXVII |
| Binary (base 2) | 110111010001 |
| Octal (base 8) | 6721 |
| Hexadecimal (base 16) | DD1 |
| Base 3 | 11212000 |
| As time | 3537 seconds = 58 min 57 s |
Is 3537 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 (3537 ÷ 3 = 1179) | 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 2) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3537 ÷ 9 = 393) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3537 a prime number?
No. 3537 = × 131, so it is divisible by 3.
What are the factors of 3537?
1, 3, 9, 27, 131, 393, 1179, 3537.
What is 3537 in binary?
110111010001 (hexadecimal DD1, octal 6721).
What is the square root of 3537?
About 59.4727, exactly 3√393.
What is 3537 in Roman numerals?
MMMDXXXVII.
Is 3537 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3537?
It is a composite number with 8 divisors.