The number 3076
3076 is a composite number with 6 divisors. Its prime factorisation is × 769. Divisors (6): 1, 2, 4, 769, 1538, 3076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3076: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3076 is composite. Its prime factorisation is
- 3
The divisors add up to 5390; without 3076 itself that is 2314, so 3076 is deficient (2314 is less than 3076). Euler's totient φ(3076) = 1536 numbers up to 3076 share no factor with it.
- 4
The digits of 3076 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3076 = 2^{2} \times 769 \]3076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5390 |
| Euler totient φ(n) | 1536 |
| Square | 9461776 |
| Cube | 29104422976 |
| Square root | 55.461698 (= 2√769) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.076 × |
3076 in other forms
| Form | Value |
|---|---|
| In words | three thousand and seventy-six |
| Roman numerals | MMMLXXVI |
| Binary (base 2) | 110000000100 |
| Octal (base 8) | 6004 |
| Hexadecimal (base 16) | C04 |
| Base 3 | 11012221 |
| As time | 3076 seconds = 51 min 16 s |
Is 3076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3076 ÷ 2 = 1538) | 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 (3076 ÷ 4 = 769) | 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 | No (remainder 3) | 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 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 7) | 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 3076 a prime number?
No. 3076 = × 769, so it is divisible by 2.
What are the factors of 3076?
1, 2, 4, 769, 1538, 3076.
What is 3076 in binary?
110000000100 (hexadecimal C04, octal 6004).
What is the square root of 3076?
About 55.4617, exactly 2√769.
What is 3076 in Roman numerals?
MMMLXXVI.
Is 3076 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3076?
3076 is a happy number: repeatedly adding the squares of its digits reaches 1.