The number 3675
3675 is a composite number with 18 divisors. Its prime factorisation is 3 × × . Divisors (18): 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735 … 3675.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3675: a Harshad number: divisible by its digit sum 21.
- 2
3675 is composite. Its prime factorisation is
- 3
The divisors add up to 7068; without 3675 itself that is 3393, so 3675 is deficient (3393 is less than 3675). Euler's totient φ(3675) = 1680 numbers up to 3675 share no factor with it.
- 4
The digits of 3675 add up to 21, 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
\[ 3675 = 3 \times 5^{2} \times 7^{2} \]3675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 7068 |
| Euler totient φ(n) | 1680 |
| Square | 13505625 |
| Cube | 49633171875 |
| Square root | 60.621778 (= 35√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 100 |
| Scientific notation | 3.675 × |
3675 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and seventy-five |
| Roman numerals | MMMDCLXXV |
| Binary (base 2) | 111001011011 |
| Octal (base 8) | 7133 |
| Hexadecimal (base 16) | E5B |
| Base 3 | 12001010 |
| As time | 3675 seconds = 1 h 1 min 15 s |
Is 3675 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 (3675 ÷ 3 = 1225) | 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 | Yes (3675 ÷ 5 = 735) | 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 | Yes (3675 ÷ 7 = 525) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 3675 a prime number?
No. 3675 = 3 × × , so it is divisible by 3.
What are the factors of 3675?
1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675.
What is 3675 in binary?
111001011011 (hexadecimal E5B, octal 7133).
What is the square root of 3675?
About 60.6218, exactly 35√3.
What is 3675 in Roman numerals?
MMMDCLXXV.
Is 3675 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3675?
3675 is a Harshad number: divisible by its digit sum 21.