The number 77896
77896 is a composite number with 32 divisors. Its prime factorisation is × 7 × 13 × 107. Divisors (32): 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 107, 182, 214 … 77896.
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How to work it out
- 1
77896 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77896 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 77896 itself that is 103544, so 77896 is abundant (103544 is more than 77896). Euler's totient φ(77896) = 30528 numbers up to 77896 share no factor with it.
- 4
The digits of 77896 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77896 = 2^{3} \times 7 \times 13 \times 107 \]77896 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 30528 |
| Square | 6067786816 |
| Cube | 472656321819136 |
| Square root | 279.098549 (= 2√19474) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7896 × |
77896 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and ninety-six |
| Binary (base 2) | 10011000001001000 |
| Octal (base 8) | 230110 |
| Hexadecimal (base 16) | 13048 |
| Base 3 | 10221212001 |
| As time | 77896 seconds = 21 h 38 min 16 s |
Is 77896 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77896 ÷ 2 = 38948) | 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 (77896 ÷ 4 = 19474) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (77896 ÷ 7 = 11128) | 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 (77896 ÷ 8 = 9737) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 77896 a prime number?
No. 77896 = × 7 × 13 × 107, so it is divisible by 2.
What are the factors of 77896?
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 107, 182, 214, 364, 428, 728, 749, 856, 1391, 1498, 2782, 2996, 5564, 5992, 9737, 11128, 19474, 38948, 77896.
What is 77896 in binary?
10011000001001000 (hexadecimal 13048, octal 230110).
What is the square root of 77896?
About 279.0985, exactly 2√19474.
Is 77896 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 77896?
It is a composite number with 32 divisors.