The number 80704
80704 is a composite number with 28 divisors. Its prime factorisation is × 13 × 97. Divisors (28): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 97, 104, 194, 208, 388, 416 … 80704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80704: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80704 is composite. Its prime factorisation is
- 3
The divisors add up to 174244; without 80704 itself that is 93540, so 80704 is abundant (93540 is more than 80704). Euler's totient φ(80704) = 36864 numbers up to 80704 share no factor with it.
- 4
The digits of 80704 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80704 = 2^{6} \times 13 \times 97 \]80704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 174244 |
| Euler totient φ(n) | 36864 |
| Square | 6513135616 |
| Cube | 525636096753664 |
| Square root | 284.084494 (= 8√1261) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0704 × |
80704 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and four |
| Binary (base 2) | 10011101101000000 |
| Octal (base 8) | 235500 |
| Hexadecimal (base 16) | 13B40 |
| Base 3 | 11002201001 |
| As time | 80704 seconds = 22 h 25 min 4 s |
Is 80704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80704 ÷ 2 = 40352) | 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 (80704 ÷ 4 = 20176) | 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 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 (80704 ÷ 8 = 10088) | 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 8) | 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 80704 a prime number?
No. 80704 = × 13 × 97, so it is divisible by 2.
What are the factors of 80704?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 97, 104, 194, 208, 388, 416, 776, 832, 1261, 1552, 2522, 3104, 5044, 6208, 10088, 20176, 40352, 80704.
What is 80704 in binary?
10011101101000000 (hexadecimal 13B40, octal 235500).
What is the square root of 80704?
About 284.0845, exactly 8√1261.
Is 80704 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 80704?
80704 is a happy number: repeatedly adding the squares of its digits reaches 1.