The number 3976
3976 is a composite number with 16 divisors. Its prime factorisation is × 7 × 71. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3976 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 3976 itself that is 4664, so 3976 is abundant (4664 is more than 3976). Euler's totient φ(3976) = 1680 numbers up to 3976 share no factor with it.
- 4
The digits of 3976 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3976 = 2^{3} \times 7 \times 71 \]3976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 1680 |
| Square | 15808576 |
| Cube | 62854898176 |
| Square root | 63.055531 (= 2√994) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 25 |
| Scientific notation | 3.976 × |
3976 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and seventy-six |
| Roman numerals | MMMCMLXXVI |
| Binary (base 2) | 111110001000 |
| Octal (base 8) | 7610 |
| Hexadecimal (base 16) | F88 |
| Base 3 | 12110021 |
| As time | 3976 seconds = 1 h 6 min 16 s |
Is 3976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3976 ÷ 2 = 1988) | 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 (3976 ÷ 4 = 994) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (3976 ÷ 7 = 568) | 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 (3976 ÷ 8 = 497) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 3976 a prime number?
No. 3976 = × 7 × 71, so it is divisible by 2.
What are the factors of 3976?
1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976.
What is 3976 in binary?
111110001000 (hexadecimal F88, octal 7610).
What is the square root of 3976?
About 63.0555, exactly 2√994.
What is 3976 in Roman numerals?
MMMCMLXXVI.
Is 3976 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 3976?
It is a composite number with 16 divisors.