The number 3730
3730 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 373. Divisors (8): 1, 2, 5, 10, 373, 746, 1865, 3730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3730 is composite. Its prime factorisation is
- 3
The divisors add up to 6732; without 3730 itself that is 3002, so 3730 is deficient (3002 is less than 3730). Euler's totient φ(3730) = 1488 numbers up to 3730 share no factor with it.
- 4
The digits of 3730 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3730 = 2 \times 5 \times 373 \]
3730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6732 |
| Euler totient φ(n) | 1488 |
| Square | 13912900 |
| Cube | 51895117000 |
| Square root | 61.073726 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 69 |
| Scientific notation | 3.73 × |
3730 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and thirty |
| Roman numerals | MMMDCCXXX |
| Binary (base 2) | 111010010010 |
| Octal (base 8) | 7222 |
| Hexadecimal (base 16) | E92 |
| Base 3 | 12010011 |
| As time | 3730 seconds = 1 h 2 min 10 s |
Is 3730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3730 ÷ 2 = 1865) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | Yes (3730 ÷ 5 = 746) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3730 ÷ 10 = 373) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3730 a prime number?
No. 3730 = 2 × 5 × 373, so it is divisible by 2.
What are the factors of 3730?
1, 2, 5, 10, 373, 746, 1865, 3730.
What is 3730 in binary?
111010010010 (hexadecimal E92, octal 7222).
What is the square root of 3730?
About 61.0737.
What is 3730 in Roman numerals?
MMMDCCXXX.
Is 3730 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3730?
It is a composite number with 8 divisors.