The number 77104
77104 is a composite number with 20 divisors. Its prime factorisation is × 61 × 79. Divisors (20): 1, 2, 4, 8, 16, 61, 79, 122, 158, 244, 316, 488, 632, 976, 1264, 4819 … 77104.
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How to work it out
- 1
77104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77104 is composite. Its prime factorisation is
- 3
The divisors add up to 153760; without 77104 itself that is 76656, so 77104 is deficient (76656 is less than 77104). Euler's totient φ(77104) = 37440 numbers up to 77104 share no factor with it.
- 4
The digits of 77104 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77104 = 2^{4} \times 61 \times 79 \]77104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 153760 |
| Euler totient φ(n) | 37440 |
| Square | 5945026816 |
| Cube | 458385347620864 |
| Square root | 277.676070 (= 4√4819) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7104 × |
77104 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and four |
| Binary (base 2) | 10010110100110000 |
| Octal (base 8) | 226460 |
| Hexadecimal (base 16) | 12D30 |
| Base 3 | 10220202201 |
| As time | 77104 seconds = 21 h 25 min 4 s |
Is 77104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77104 ÷ 2 = 38552) | 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 (77104 ÷ 4 = 19276) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 (77104 ÷ 8 = 9638) | 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 4) | 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 77104 a prime number?
No. 77104 = × 61 × 79, so it is divisible by 2.
What are the factors of 77104?
1, 2, 4, 8, 16, 61, 79, 122, 158, 244, 316, 488, 632, 976, 1264, 4819, 9638, 19276, 38552, 77104.
What is 77104 in binary?
10010110100110000 (hexadecimal 12D30, octal 226460).
What is the square root of 77104?
About 277.6761, exactly 4√4819.
Is 77104 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 77104?
It is a composite number with 20 divisors.