The number 3726
3726 is a composite number with 20 divisors. Its prime factorisation is 2 × × 23. Divisors (20): 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414 … 3726.
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How to work it out
- 1
What is special about 3726: a Harshad number: divisible by its digit sum 18.
- 2
3726 is composite. Its prime factorisation is
- 3
The divisors add up to 8712; without 3726 itself that is 4986, so 3726 is abundant (4986 is more than 3726). Euler's totient φ(3726) = 1188 numbers up to 3726 share no factor with it.
- 4
The digits of 3726 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 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3726 = 2 \times 3^{4} \times 23 \]3726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 8712 |
| Euler totient φ(n) | 1188 |
| Square | 13883076 |
| Cube | 51728341176 |
| Square root | 61.040970 (= 9√46) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 69 |
| Scientific notation | 3.726 × |
3726 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and twenty-six |
| Roman numerals | MMMDCCXXVI |
| Binary (base 2) | 111010001110 |
| Octal (base 8) | 7216 |
| Hexadecimal (base 16) | E8E |
| Base 3 | 12010000 |
| As time | 3726 seconds = 1 h 2 min 6 s |
Is 3726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3726 ÷ 2 = 1863) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3726 ÷ 3 = 1242) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3726 ÷ 6 = 621) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3726 ÷ 9 = 414) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3726 a prime number?
No. 3726 = 2 × × 23, so it is divisible by 2.
What are the factors of 3726?
1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726.
What is 3726 in binary?
111010001110 (hexadecimal E8E, octal 7216).
What is the square root of 3726?
About 61.0410, exactly 9√46.
What is 3726 in Roman numerals?
MMMDCCXXVI.
Is 3726 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3726?
3726 is a Harshad number: divisible by its digit sum 18.