The number 3770
3770 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 29. Divisors (16): 1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3770 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3770 is composite. Its prime factorisation is
- 3
The divisors add up to 7560; without 3770 itself that is 3790, so 3770 is abundant (3790 is more than 3770). Euler's totient φ(3770) = 1344 numbers up to 3770 share no factor with it.
- 4
The digits of 3770 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3770 = 2 \times 5 \times 13 \times 29 \]
3770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7560 |
| Euler totient φ(n) | 1344 |
| Square | 14212900 |
| Cube | 53582633000 |
| Square root | 61.400326 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.77 × |
3770 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and seventy |
| Roman numerals | MMMDCCLXX |
| Binary (base 2) | 111010111010 |
| Octal (base 8) | 7272 |
| Hexadecimal (base 16) | EBA |
| Base 3 | 12011122 |
| As time | 3770 seconds = 1 h 2 min 50 s |
Is 3770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3770 ÷ 2 = 1885) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3770 ÷ 5 = 754) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3770 ÷ 10 = 377) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3770 a prime number?
No. 3770 = 2 × 5 × 13 × 29, so it is divisible by 2.
What are the factors of 3770?
1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770.
What is 3770 in binary?
111010111010 (hexadecimal EBA, octal 7272).
What is the square root of 3770?
About 61.4003.
What is 3770 in Roman numerals?
MMMDCCLXX.
Is 3770 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3770?
It is a composite number with 16 divisors.