The number 3723
3723 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 73. Divisors (8): 1, 3, 17, 51, 73, 219, 1241, 3723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3723 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3723 is composite. Its prime factorisation is
- 3
The divisors add up to 5328; without 3723 itself that is 1605, so 3723 is deficient (1605 is less than 3723). Euler's totient φ(3723) = 2304 numbers up to 3723 share no factor with it.
- 4
The digits of 3723 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3723 = 3 \times 17 \times 73 \]
3723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5328 |
| Euler totient φ(n) | 2304 |
| Square | 13860729 |
| Cube | 51603494067 |
| Square root | 61.016391 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.723 × |
3723 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and twenty-three |
| Roman numerals | MMMDCCXXIII |
| Binary (base 2) | 111010001011 |
| Octal (base 8) | 7213 |
| Hexadecimal (base 16) | E8B |
| Base 3 | 12002220 |
| As time | 3723 seconds = 1 h 2 min 3 s |
Is 3723 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 (3723 ÷ 3 = 1241) | 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 | No (remainder 3) | 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 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 3723 a prime number?
No. 3723 = 3 × 17 × 73, so it is divisible by 3.
What are the factors of 3723?
1, 3, 17, 51, 73, 219, 1241, 3723.
What is 3723 in binary?
111010001011 (hexadecimal E8B, octal 7213).
What is the square root of 3723?
About 61.0164.
What is 3723 in Roman numerals?
MMMDCCXXIII.
Is 3723 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3723?
It is a composite number with 8 divisors.