The number 77848
77848 is a composite number with 16 divisors. Its prime factorisation is × 37 × 263. Divisors (16): 1, 2, 4, 8, 37, 74, 148, 263, 296, 526, 1052, 2104, 9731, 19462, 38924, 77848.
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How to work it out
- 1
77848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77848 is composite. Its prime factorisation is
- 3
The divisors add up to 150480; without 77848 itself that is 72632, so 77848 is deficient (72632 is less than 77848). Euler's totient φ(77848) = 37728 numbers up to 77848 share no factor with it.
- 4
The digits of 77848 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77848 = 2^{3} \times 37 \times 263 \]77848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 150480 |
| Euler totient φ(n) | 37728 |
| Square | 6060311104 |
| Cube | 471783098824192 |
| Square root | 279.012545 (= 2√19462) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7848 × |
77848 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and forty-eight |
| Binary (base 2) | 10011000000011000 |
| Octal (base 8) | 230030 |
| Hexadecimal (base 16) | 13018 |
| Base 3 | 10221210021 |
| As time | 77848 seconds = 21 h 37 min 28 s |
Is 77848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77848 ÷ 2 = 38924) | 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 (77848 ÷ 4 = 19462) | 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 | 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 (77848 ÷ 8 = 9731) | 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 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 77848 a prime number?
No. 77848 = × 37 × 263, so it is divisible by 2.
What are the factors of 77848?
1, 2, 4, 8, 37, 74, 148, 263, 296, 526, 1052, 2104, 9731, 19462, 38924, 77848.
What is 77848 in binary?
10011000000011000 (hexadecimal 13018, octal 230030).
What is the square root of 77848?
About 279.0125, exactly 2√19462.
Is 77848 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 77848?
It is a composite number with 16 divisors.