The number 3672
3672 is a composite number with 32 divisors. Its prime factorisation is × × 17. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54 … 3672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3672: a Harshad number: divisible by its digit sum 18.
- 2
3672 is composite. Its prime factorisation is
- 3
The divisors add up to 10800; without 3672 itself that is 7128, so 3672 is abundant (7128 is more than 3672). Euler's totient φ(3672) = 1152 numbers up to 3672 share no factor with it.
- 4
The digits of 3672 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3672 = 2^{3} \times 3^{3} \times 17 \]3672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 10800 |
| Euler totient φ(n) | 1152 |
| Square | 13483584 |
| Cube | 49511720448 |
| Square root | 60.597030 (= 6√102) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.672 × |
3672 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and seventy-two |
| Roman numerals | MMMDCLXXII |
| Binary (base 2) | 111001011000 |
| Octal (base 8) | 7130 |
| Hexadecimal (base 16) | E58 |
| Base 3 | 12001000 |
| As time | 3672 seconds = 1 h 1 min 12 s |
Is 3672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3672 ÷ 2 = 1836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3672 ÷ 3 = 1224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3672 ÷ 4 = 918) | 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 (3672 ÷ 6 = 612) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (3672 ÷ 8 = 459) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3672 ÷ 9 = 408) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3672 ÷ 12 = 306) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3672 a prime number?
No. 3672 = × × 17, so it is divisible by 2.
What are the factors of 3672?
1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672.
What is 3672 in binary?
111001011000 (hexadecimal E58, octal 7130).
What is the square root of 3672?
About 60.5970, exactly 6√102.
What is 3672 in Roman numerals?
MMMDCLXXII.
Is 3672 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3672?
3672 is a Harshad number: divisible by its digit sum 18.