The number 3880
3880 is a composite number with 16 divisors. Its prime factorisation is × 5 × 97. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3880 is composite. Its prime factorisation is
- 3
The divisors add up to 8820; without 3880 itself that is 4940, so 3880 is abundant (4940 is more than 3880). Euler's totient φ(3880) = 1536 numbers up to 3880 share no factor with it.
- 4
The digits of 3880 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3880 = 2^{3} \times 5 \times 97 \]3880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8820 |
| Euler totient φ(n) | 1536 |
| Square | 15054400 |
| Cube | 58411072000 |
| Square root | 62.289646 (= 2√970) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 100 |
| Scientific notation | 3.88 × |
3880 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and eighty |
| Roman numerals | MMMDCCCLXXX |
| Binary (base 2) | 111100101000 |
| Octal (base 8) | 7450 |
| Hexadecimal (base 16) | F28 |
| Base 3 | 12022201 |
| As time | 3880 seconds = 1 h 4 min 40 s |
Is 3880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3880 ÷ 2 = 1940) | 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 (3880 ÷ 4 = 970) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3880 ÷ 5 = 776) | 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 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 | Yes (3880 ÷ 8 = 485) | 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 (3880 ÷ 10 = 388) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3880 a prime number?
No. 3880 = × 5 × 97, so it is divisible by 2.
What are the factors of 3880?
1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880.
What is 3880 in binary?
111100101000 (hexadecimal F28, octal 7450).
What is the square root of 3880?
About 62.2896, exactly 2√970.
What is 3880 in Roman numerals?
MMMDCCCLXXX.
Is 3880 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3880?
It is a composite number with 16 divisors.