The number 76016
76016 is a composite number with 10 divisors. Its prime factorisation is × 4751. Divisors (10): 1, 2, 4, 8, 16, 4751, 9502, 19004, 38008, 76016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76016 is composite. Its prime factorisation is
- 3
The divisors add up to 147312; without 76016 itself that is 71296, so 76016 is deficient (71296 is less than 76016). Euler's totient φ(76016) = 38000 numbers up to 76016 share no factor with it.
- 4
The digits of 76016 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76016 = 2^{4} \times 4751 \]76016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 147312 |
| Euler totient φ(n) | 38000 |
| Square | 5778432256 |
| Cube | 439253306372096 |
| Square root | 275.709993 (= 4√4751) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.6016 × |
76016 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and sixteen |
| Binary (base 2) | 10010100011110000 |
| Octal (base 8) | 224360 |
| Hexadecimal (base 16) | 128F0 |
| Base 3 | 10212021102 |
| As time | 76016 seconds = 21 h 6 min 56 s |
Is 76016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76016 ÷ 2 = 38008) | 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 (76016 ÷ 4 = 19004) | 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 | 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 | Yes (76016 ÷ 8 = 9502) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | 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 76016 a prime number?
No. 76016 = × 4751, so it is divisible by 2.
What are the factors of 76016?
1, 2, 4, 8, 16, 4751, 9502, 19004, 38008, 76016.
What is 76016 in binary?
10010100011110000 (hexadecimal 128F0, octal 224360).
What is the square root of 76016?
About 275.7100, exactly 4√4751.
Is 76016 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 76016?
It is a composite number with 10 divisors.