The number 76164
76164 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 577. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 577, 1154, 1731, 2308 … 76164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76164 is composite. Its prime factorisation is
- 3
The divisors add up to 194208; without 76164 itself that is 118044, so 76164 is abundant (118044 is more than 76164). Euler's totient φ(76164) = 23040 numbers up to 76164 share no factor with it.
- 4
The digits of 76164 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76164 = 2^{2} \times 3 \times 11 \times 577 \]76164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 194208 |
| Euler totient φ(n) | 23040 |
| Square | 5800954896 |
| Cube | 441823928698944 |
| Square root | 275.978260 (= 2√19041) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.6164 × |
76164 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand one hundred and sixty-four |
| Binary (base 2) | 10010100110000100 |
| Octal (base 8) | 224604 |
| Hexadecimal (base 16) | 12984 |
| Base 3 | 10212110220 |
| As time | 76164 seconds = 21 h 9 min 24 s |
Is 76164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76164 ÷ 2 = 38082) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76164 ÷ 3 = 25388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76164 ÷ 4 = 19041) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (76164 ÷ 6 = 12694) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (76164 ÷ 11 = 6924) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76164 ÷ 12 = 6347) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76164 a prime number?
No. 76164 = × 3 × 11 × 577, so it is divisible by 2.
What are the factors of 76164?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 577, 1154, 1731, 2308, 3462, 6347, 6924, 12694, 19041, 25388, 38082, 76164.
What is 76164 in binary?
10010100110000100 (hexadecimal 12984, octal 224604).
What is the square root of 76164?
About 275.9783, exactly 2√19041.
Is 76164 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 76164?
It is a composite number with 24 divisors.