The number 3700
3700 is a composite number with 18 divisors. Its prime factorisation is × × 37. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925 … 3700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3700: a Harshad number: divisible by its digit sum 10.
- 2
3700 is composite. Its prime factorisation is
- 3
The divisors add up to 8246; without 3700 itself that is 4546, so 3700 is abundant (4546 is more than 3700). Euler's totient φ(3700) = 1440 numbers up to 3700 share no factor with it.
- 4
The digits of 3700 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3700 = 2^{2} \times 5^{2} \times 37 \]3700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 8246 |
| Euler totient φ(n) | 1440 |
| Square | 13690000 |
| Cube | 50653000000 |
| Square root | 60.827625 (= 10√37) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.7 × |
3700 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred |
| Roman numerals | MMMDCC |
| Binary (base 2) | 111001110100 |
| Octal (base 8) | 7164 |
| Hexadecimal (base 16) | E74 |
| Base 3 | 12002001 |
| As time | 3700 seconds = 1 h 1 min 40 s |
Is 3700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3700 ÷ 2 = 1850) | 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 | Yes (3700 ÷ 4 = 925) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3700 ÷ 5 = 740) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3700 ÷ 10 = 370) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3700 a prime number?
No. 3700 = × × 37, so it is divisible by 2.
What are the factors of 3700?
1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700.
What is 3700 in binary?
111001110100 (hexadecimal E74, octal 7164).
What is the square root of 3700?
About 60.8276, exactly 10√37.
What is 3700 in Roman numerals?
MMMDCC.
Is 3700 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3700?
3700 is a Harshad number: divisible by its digit sum 10.