The number 76007
76007 is a composite number with 6 divisors. Its prime factorisation is Ć 263. Divisors (6): 1, 17, 263, 289, 4471, 76007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76007 is composite. Its prime factorisation is
- 3
The divisors add up to 81048; without 76007 itself that is 5041, so 76007 is deficient (5041 is less than 76007). Euler's totient Ļ(76007) = 71264 numbers up to 76007 share no factor with it.
- 4
The digits of 76007 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 192 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76007 = 17^{2} \times 263 \]76007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 81048 |
| Euler totient Ļ(n) | 71264 |
| Square | 5777064049 |
| Cube | 439097307172343 |
| Square root | 275.693671 (= 17ā263) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 192 |
| Scientific notation | 7.6007 Ć |
76007 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and seven |
| Binary (base 2) | 10010100011100111 |
| Octal (base 8) | 224347 |
| Hexadecimal (base 16) | 128E7 |
| Base 3 | 10212021002 |
| As time | 76007 seconds = 21 h 6 min 47 s |
Is 76007 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | 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 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76007 a prime number?
No. 76007 = Ć 263, so it is divisible by 17.
What are the factors of 76007?
1, 17, 263, 289, 4471, 76007.
What is 76007 in binary?
10010100011100111 (hexadecimal 128E7, octal 224347).
What is the square root of 76007?
About 275.6937, exactly 17ā263.
Is 76007 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 76007?
It is a composite number with 6 divisors.