The number 76076
76076 is a composite number with 48 divisors. Its prime factorisation is × 7 × 11 × 13 × 19. Divisors (48): 1, 2, 4, 7, 11, 13, 14, 19, 22, 26, 28, 38, 44, 52, 76, 77 … 76076.
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How to work it out
- 1
What is special about 76076: a Harshad number: divisible by its digit sum 26.
- 2
76076 is composite. Its prime factorisation is
- 3
The divisors add up to 188160; without 76076 itself that is 112084, so 76076 is abundant (112084 is more than 76076). Euler's totient φ(76076) = 25920 numbers up to 76076 share no factor with it.
- 4
The digits of 76076 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76076 = 2^{2} \times 7 \times 11 \times 13 \times 19 \]76076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 188160 |
| Euler totient φ(n) | 25920 |
| Square | 5787557776 |
| Cube | 440294245366976 |
| Square root | 275.818781 (= 2√19019) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.6076 × |
76076 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and seventy-six |
| Binary (base 2) | 10010100100101100 |
| Octal (base 8) | 224454 |
| Hexadecimal (base 16) | 1292C |
| Base 3 | 10212100122 |
| As time | 76076 seconds = 21 h 7 min 56 s |
Is 76076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76076 ÷ 2 = 38038) | 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 | Yes (76076 ÷ 4 = 19019) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76076 ÷ 7 = 10868) | 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 8) | 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 | Yes (76076 ÷ 11 = 6916) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76076 a prime number?
No. 76076 = × 7 × 11 × 13 × 19, so it is divisible by 2.
What are the factors of 76076?
1, 2, 4, 7, 11, 13, 14, 19, 22, 26, 28, 38, 44, 52, 76, 77, 91, 133, 143, 154, 182, 209, 247, 266, 286, 308, 364, 418, 494, 532, 572, 836, 988, 1001, 1463, 1729, 2002, 2717, 2926, 3458, 4004, 5434, 5852, 6916, 10868, 19019, 38038, 76076.
What is 76076 in binary?
10010100100101100 (hexadecimal 1292C, octal 224454).
What is the square root of 76076?
About 275.8188, exactly 2√19019.
Is 76076 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 76076?
76076 is a Harshad number: divisible by its digit sum 26.