The number 80649
80649 is a composite number with 16 divisors. Its prime factorisation is × 29 × 103. Divisors (16): 1, 3, 9, 27, 29, 87, 103, 261, 309, 783, 927, 2781, 2987, 8961, 26883, 80649.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80649: a Harshad number: divisible by its digit sum 27.
- 2
80649 is composite. Its prime factorisation is
- 3
The divisors add up to 124800; without 80649 itself that is 44151, so 80649 is deficient (44151 is less than 80649). Euler's totient φ(80649) = 51408 numbers up to 80649 share no factor with it.
- 4
The digits of 80649 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80649 = 3^{3} \times 29 \times 103 \]80649 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 124800 |
| Euler totient φ(n) | 51408 |
| Square | 6504261201 |
| Cube | 524562161599449 |
| Square root | 283.987676 (= 3√8961) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 8.0649 × |
80649 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand six hundred and forty-nine |
| Binary (base 2) | 10011101100001001 |
| Octal (base 8) | 235411 |
| Hexadecimal (base 16) | 13B09 |
| Base 3 | 11002122000 |
| As time | 80649 seconds = 22 h 24 min 9 s |
Is 80649 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80649 ÷ 3 = 26883) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80649 ÷ 9 = 8961) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80649 a prime number?
No. 80649 = × 29 × 103, so it is divisible by 3.
What are the factors of 80649?
1, 3, 9, 27, 29, 87, 103, 261, 309, 783, 927, 2781, 2987, 8961, 26883, 80649.
What is 80649 in binary?
10011101100001001 (hexadecimal 13B09, octal 235411).
What is the square root of 80649?
About 283.9877, exactly 3√8961.
Is 80649 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80649?
80649 is a Harshad number: divisible by its digit sum 27.