The number 76008
76008 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3167. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3167, 6334, 9501, 12668, 19002, 25336, 38004, 76008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76008 is composite. Its prime factorisation is
- 3
The divisors add up to 190080; without 76008 itself that is 114072, so 76008 is abundant (114072 is more than 76008). Euler's totient φ(76008) = 25328 numbers up to 76008 share no factor with it.
- 4
The digits of 76008 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76008 = 2^{3} \times 3 \times 3167 \]76008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 190080 |
| Euler totient φ(n) | 25328 |
| Square | 5777216064 |
| Cube | 439114638592512 |
| Square root | 275.695484 (= 2√19002) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.6008 × |
76008 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and eight |
| Binary (base 2) | 10010100011101000 |
| Octal (base 8) | 224350 |
| Hexadecimal (base 16) | 128E8 |
| Base 3 | 10212021010 |
| As time | 76008 seconds = 21 h 6 min 48 s |
Is 76008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76008 ÷ 2 = 38004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76008 ÷ 3 = 25336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76008 ÷ 4 = 19002) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (76008 ÷ 6 = 12668) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (76008 ÷ 8 = 9501) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76008 ÷ 12 = 6334) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76008 a prime number?
No. 76008 = × 3 × 3167, so it is divisible by 2.
What are the factors of 76008?
1, 2, 3, 4, 6, 8, 12, 24, 3167, 6334, 9501, 12668, 19002, 25336, 38004, 76008.
What is 76008 in binary?
10010100011101000 (hexadecimal 128E8, octal 224350).
What is the square root of 76008?
About 275.6955, exactly 2√19002.
Is 76008 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 76008?
It is a composite number with 16 divisors.