The number 3612
3612 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 43. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172 … 3612.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3612: a Harshad number: divisible by its digit sum 12.
- 2
3612 is composite. Its prime factorisation is
- 3
The divisors add up to 9856; without 3612 itself that is 6244, so 3612 is abundant (6244 is more than 3612). Euler's totient φ(3612) = 1008 numbers up to 3612 share no factor with it.
- 4
The digits of 3612 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 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3612 = 2^{2} \times 3 \times 7 \times 43 \]3612 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9856 |
| Euler totient φ(n) | 1008 |
| Square | 13046544 |
| Cube | 47124116928 |
| Square root | 60.099917 (= 2√903) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.612 × |
3612 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and twelve |
| Roman numerals | MMMDCXII |
| Binary (base 2) | 111000011100 |
| Octal (base 8) | 7034 |
| Hexadecimal (base 16) | E1C |
| Base 3 | 11221210 |
| As time | 3612 seconds = 1 h 0 min 12 s |
Is 3612 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3612 ÷ 2 = 1806) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3612 ÷ 3 = 1204) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3612 ÷ 4 = 903) | 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 (3612 ÷ 6 = 602) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3612 ÷ 7 = 516) | 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 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3612 ÷ 12 = 301) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3612 a prime number?
No. 3612 = × 3 × 7 × 43, so it is divisible by 2.
What are the factors of 3612?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612.
What is 3612 in binary?
111000011100 (hexadecimal E1C, octal 7034).
What is the square root of 3612?
About 60.0999, exactly 2√903.
What is 3612 in Roman numerals?
MMMDCXII.
Is 3612 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3612?
3612 is a Harshad number: divisible by its digit sum 12.