The number 3740
3740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 17. Divisors (24): 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170 … 3740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3740 is composite. Its prime factorisation is
- 3
The divisors add up to 9072; without 3740 itself that is 5332, so 3740 is abundant (5332 is more than 3740). Euler's totient φ(3740) = 1280 numbers up to 3740 share no factor with it.
- 4
The digits of 3740 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3740 = 2^{2} \times 5 \times 11 \times 17 \]3740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9072 |
| Euler totient φ(n) | 1280 |
| Square | 13987600 |
| Cube | 52313624000 |
| Square root | 61.155539 (= 2√935) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.74 × |
3740 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and forty |
| Roman numerals | MMMDCCXL |
| Binary (base 2) | 111010011100 |
| Octal (base 8) | 7234 |
| Hexadecimal (base 16) | E9C |
| Base 3 | 12010112 |
| As time | 3740 seconds = 1 h 2 min 20 s |
Is 3740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3740 ÷ 2 = 1870) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3740 ÷ 4 = 935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3740 ÷ 5 = 748) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3740 ÷ 10 = 374) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3740 ÷ 11 = 340) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3740 a prime number?
No. 3740 = × 5 × 11 × 17, so it is divisible by 2.
What are the factors of 3740?
1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740.
What is 3740 in binary?
111010011100 (hexadecimal E9C, octal 7234).
What is the square root of 3740?
About 61.1555, exactly 2√935.
What is 3740 in Roman numerals?
MMMDCCXL.
Is 3740 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3740?
It is a composite number with 24 divisors.