The number 76048
76048 is a composite number with 30 divisors. Its prime factorisation is × × 97. Divisors (30): 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 97, 98, 112, 194, 196, 388 … 76048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76048 is composite. Its prime factorisation is
- 3
The divisors add up to 173166; without 76048 itself that is 97118, so 76048 is abundant (97118 is more than 76048). Euler's totient φ(76048) = 32256 numbers up to 76048 share no factor with it.
- 4
The digits of 76048 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76048 = 2^{4} \times 7^{2} \times 97 \]76048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 173166 |
| Euler totient φ(n) | 32256 |
| Square | 5783298304 |
| Cube | 439808269422592 |
| Square root | 275.768018 (= 28√97) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.6048 × |
76048 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and forty-eight |
| Binary (base 2) | 10010100100010000 |
| Octal (base 8) | 224420 |
| Hexadecimal (base 16) | 12910 |
| Base 3 | 10212022121 |
| As time | 76048 seconds = 21 h 7 min 28 s |
Is 76048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76048 ÷ 2 = 38024) | 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 (76048 ÷ 4 = 19012) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76048 ÷ 7 = 10864) | 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 (76048 ÷ 8 = 9506) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 76048 a prime number?
No. 76048 = × × 97, so it is divisible by 2.
What are the factors of 76048?
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 97, 98, 112, 194, 196, 388, 392, 679, 776, 784, 1358, 1552, 2716, 4753, 5432, 9506, 10864, 19012, 38024, 76048.
What is 76048 in binary?
10010100100010000 (hexadecimal 12910, octal 224420).
What is the square root of 76048?
About 275.7680, exactly 28√97.
Is 76048 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 76048?
It is a composite number with 30 divisors.