The number 76480
76480 is a composite number with 28 divisors. Its prime factorisation is × 5 × 239. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 239, 320, 478 … 76480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76480 is composite. Its prime factorisation is
- 3
The divisors add up to 182880; without 76480 itself that is 106400, so 76480 is abundant (106400 is more than 76480). Euler's totient φ(76480) = 30464 numbers up to 76480 share no factor with it.
- 4
The digits of 76480 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76480 = 2^{6} \times 5 \times 239 \]76480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 182880 |
| Euler totient φ(n) | 30464 |
| Square | 5849190400 |
| Cube | 447346081792000 |
| Square root | 276.550176 (= 8√1195) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.648 × |
76480 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and eighty |
| Binary (base 2) | 10010101011000000 |
| Octal (base 8) | 225300 |
| Hexadecimal (base 16) | 12AC0 |
| Base 3 | 10212220121 |
| As time | 76480 seconds = 21 h 14 min 40 s |
Is 76480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76480 ÷ 2 = 38240) | 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 (76480 ÷ 4 = 19120) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76480 ÷ 5 = 15296) | 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 5) | 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 (76480 ÷ 8 = 9560) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76480 ÷ 10 = 7648) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76480 a prime number?
No. 76480 = × 5 × 239, so it is divisible by 2.
What are the factors of 76480?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 239, 320, 478, 956, 1195, 1912, 2390, 3824, 4780, 7648, 9560, 15296, 19120, 38240, 76480.
What is 76480 in binary?
10010101011000000 (hexadecimal 12AC0, octal 225300).
What is the square root of 76480?
About 276.5502, exactly 8√1195.
Is 76480 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 76480?
It is a composite number with 28 divisors.