The number 76006
76006 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 61 × 89. Divisors (16): 1, 2, 7, 14, 61, 89, 122, 178, 427, 623, 854, 1246, 5429, 10858, 38003, 76006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76006 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 76006 itself that is 57914, so 76006 is deficient (57914 is less than 76006). Euler's totient φ(76006) = 31680 numbers up to 76006 share no factor with it.
- 4
The digits of 76006 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76006 = 2 \times 7 \times 61 \times 89 \]
76006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 31680 |
| Square | 5776912036 |
| Cube | 439079976208216 |
| Square root | 275.691857 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.6006 × |
76006 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and six |
| Binary (base 2) | 10010100011100110 |
| Octal (base 8) | 224346 |
| Hexadecimal (base 16) | 128E6 |
| Base 3 | 10212021001 |
| As time | 76006 seconds = 21 h 6 min 46 s |
Is 76006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76006 ÷ 2 = 38003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76006 ÷ 7 = 10858) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76006 a prime number?
No. 76006 = 2 × 7 × 61 × 89, so it is divisible by 2.
What are the factors of 76006?
1, 2, 7, 14, 61, 89, 122, 178, 427, 623, 854, 1246, 5429, 10858, 38003, 76006.
What is 76006 in binary?
10010100011100110 (hexadecimal 128E6, octal 224346).
What is the square root of 76006?
About 275.6919.
Is 76006 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 76006?
It is a composite number with 16 divisors.