The number 77076
77076 is a composite number with 18 divisors. Its prime factorisation is × × 2141. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2141, 4282, 6423, 8564, 12846, 19269, 25692 … 77076.
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How to work it out
- 1
77076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77076 is composite. Its prime factorisation is
- 3
The divisors add up to 194922; without 77076 itself that is 117846, so 77076 is abundant (117846 is more than 77076). Euler's totient φ(77076) = 25680 numbers up to 77076 share no factor with it.
- 4
The digits of 77076 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77076 = 2^{2} \times 3^{2} \times 2141 \]77076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 194922 |
| Euler totient φ(n) | 25680 |
| Square | 5940709776 |
| Cube | 457886146694976 |
| Square root | 277.625647 (= 6√2141) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7076 × |
77076 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and seventy-six |
| Binary (base 2) | 10010110100010100 |
| Octal (base 8) | 226424 |
| Hexadecimal (base 16) | 12D14 |
| Base 3 | 10220201200 |
| As time | 77076 seconds = 21 h 24 min 36 s |
Is 77076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77076 ÷ 2 = 38538) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77076 ÷ 3 = 25692) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77076 ÷ 4 = 19269) | 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 | Yes (77076 ÷ 6 = 12846) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (77076 ÷ 9 = 8564) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77076 ÷ 12 = 6423) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77076 a prime number?
No. 77076 = × × 2141, so it is divisible by 2.
What are the factors of 77076?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2141, 4282, 6423, 8564, 12846, 19269, 25692, 38538, 77076.
What is 77076 in binary?
10010110100010100 (hexadecimal 12D14, octal 226424).
What is the square root of 77076?
About 277.6256, exactly 6√2141.
Is 77076 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77076?
It is a composite number with 18 divisors.