The number 77048
77048 is a composite number with 8 divisors. Its prime factorisation is × 9631. Divisors (8): 1, 2, 4, 8, 9631, 19262, 38524, 77048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77048 is composite. Its prime factorisation is
- 3
The divisors add up to 144480; without 77048 itself that is 67432, so 77048 is deficient (67432 is less than 77048). Euler's totient φ(77048) = 38520 numbers up to 77048 share no factor with it.
- 4
The digits of 77048 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77048 = 2^{3} \times 9631 \]77048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 144480 |
| Euler totient φ(n) | 38520 |
| Square | 5936394304 |
| Cube | 457387308334592 |
| Square root | 277.575215 (= 2√19262) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 161 |
| Scientific notation | 7.7048 × |
77048 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and forty-eight |
| Binary (base 2) | 10010110011111000 |
| Octal (base 8) | 226370 |
| Hexadecimal (base 16) | 12CF8 |
| Base 3 | 10220200122 |
| As time | 77048 seconds = 21 h 24 min 8 s |
Is 77048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77048 ÷ 2 = 38524) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77048 ÷ 4 = 19262) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (77048 ÷ 8 = 9631) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77048 a prime number?
No. 77048 = × 9631, so it is divisible by 2.
What are the factors of 77048?
1, 2, 4, 8, 9631, 19262, 38524, 77048.
What is 77048 in binary?
10010110011111000 (hexadecimal 12CF8, octal 226370).
What is the square root of 77048?
About 277.5752, exactly 2√19262.
Is 77048 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77048?
It is a composite number with 8 divisors.