The number 76000
76000 is a composite number with 48 divisors. Its prime factorisation is × × 19. Divisors (48): 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 76, 80 … 76000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76000 is composite. Its prime factorisation is
- 3
The divisors add up to 196560; without 76000 itself that is 120560, so 76000 is abundant (120560 is more than 76000). Euler's totient φ(76000) = 28800 numbers up to 76000 share no factor with it.
- 4
The digits of 76000 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76000 = 2^{5} \times 5^{3} \times 19 \]76000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 196560 |
| Euler totient φ(n) | 28800 |
| Square | 5776000000 |
| Cube | 438976000000000 |
| Square root | 275.680975 (= 20√190) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.6 × |
76000 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand |
| Binary (base 2) | 10010100011100000 |
| Octal (base 8) | 224340 |
| Hexadecimal (base 16) | 128E0 |
| Base 3 | 10212020211 |
| As time | 76000 seconds = 21 h 6 min 40 s |
Is 76000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76000 ÷ 2 = 38000) | 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 | Yes (76000 ÷ 4 = 19000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76000 ÷ 5 = 15200) | 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 | 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 | Yes (76000 ÷ 8 = 9500) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76000 ÷ 10 = 7600) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76000 a prime number?
No. 76000 = × × 19, so it is divisible by 2.
What are the factors of 76000?
1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 76, 80, 95, 100, 125, 152, 160, 190, 200, 250, 304, 380, 400, 475, 500, 608, 760, 800, 950, 1000, 1520, 1900, 2000, 2375, 3040, 3800, 4000, 4750, 7600, 9500, 15200, 19000, 38000, 76000.
What is 76000 in binary?
10010100011100000 (hexadecimal 128E0, octal 224340).
What is the square root of 76000?
About 275.6810, exactly 20√190.
Is 76000 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 76000?
It is a composite number with 48 divisors.