The number 77412
77412 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6451. Divisors (12): 1, 2, 3, 4, 6, 12, 6451, 12902, 19353, 25804, 38706, 77412.
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How to work it out
- 1
77412 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77412 is composite. Its prime factorisation is
- 3
The divisors add up to 180656; without 77412 itself that is 103244, so 77412 is abundant (103244 is more than 77412). Euler's totient φ(77412) = 25800 numbers up to 77412 share no factor with it.
- 4
The digits of 77412 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77412 = 2^{2} \times 3 \times 6451 \]77412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 180656 |
| Euler totient φ(n) | 25800 |
| Square | 5992617744 |
| Cube | 463900524798528 |
| Square root | 278.230121 (= 2√19353) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7412 × |
77412 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and twelve |
| Binary (base 2) | 10010111001100100 |
| Octal (base 8) | 227144 |
| Hexadecimal (base 16) | 12E64 |
| Base 3 | 10221012010 |
| As time | 77412 seconds = 21 h 30 min 12 s |
Is 77412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77412 ÷ 2 = 38706) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77412 ÷ 3 = 25804) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77412 ÷ 4 = 19353) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77412 ÷ 6 = 12902) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (77412 ÷ 12 = 6451) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77412 a prime number?
No. 77412 = × 3 × 6451, so it is divisible by 2.
What are the factors of 77412?
1, 2, 3, 4, 6, 12, 6451, 12902, 19353, 25804, 38706, 77412.
What is 77412 in binary?
10010111001100100 (hexadecimal 12E64, octal 227144).
What is the square root of 77412?
About 278.2301, exactly 2√19353.
Is 77412 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77412?
It is a composite number with 12 divisors.