The number 3237
3237 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 83. Divisors (8): 1, 3, 13, 39, 83, 249, 1079, 3237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3237 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3237 is composite. Its prime factorisation is
- 3
The divisors add up to 4704; without 3237 itself that is 1467, so 3237 is deficient (1467 is less than 3237). Euler's totient φ(3237) = 1968 numbers up to 3237 share no factor with it.
- 4
The digits of 3237 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3237 = 3 \times 13 \times 83 \]
3237 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4704 |
| Euler totient φ(n) | 1968 |
| Square | 10478169 |
| Cube | 33917833053 |
| Square root | 56.894639 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 3.237 × |
3237 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and thirty-seven |
| Roman numerals | MMMCCXXXVII |
| Binary (base 2) | 110010100101 |
| Octal (base 8) | 6245 |
| Hexadecimal (base 16) | CA5 |
| Base 3 | 11102220 |
| As time | 3237 seconds = 53 min 57 s |
Is 3237 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 (3237 ÷ 3 = 1079) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | 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 3237 a prime number?
No. 3237 = 3 × 13 × 83, so it is divisible by 3.
What are the factors of 3237?
1, 3, 13, 39, 83, 249, 1079, 3237.
What is 3237 in binary?
110010100101 (hexadecimal CA5, octal 6245).
What is the square root of 3237?
About 56.8946.
What is 3237 in Roman numerals?
MMMCCXXXVII.
Is 3237 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3237?
It is a composite number with 8 divisors.