The number 80940
80940 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 19 × 71. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 71 … 80940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80940 is composite. Its prime factorisation is
- 3
The divisors add up to 241920; without 80940 itself that is 160980, so 80940 is abundant (160980 is more than 80940). Euler's totient φ(80940) = 20160 numbers up to 80940 share no factor with it.
- 4
The digits of 80940 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80940 = 2^{2} \times 3 \times 5 \times 19 \times 71 \]80940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 241920 |
| Euler totient φ(n) | 20160 |
| Square | 6551283600 |
| Cube | 530260894584000 |
| Square root | 284.499561 (= 2√20235) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.094 × |
80940 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and forty |
| Binary (base 2) | 10011110000101100 |
| Octal (base 8) | 236054 |
| Hexadecimal (base 16) | 13C2C |
| Base 3 | 11010000210 |
| As time | 80940 seconds = 22 h 29 min 0 s |
Is 80940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80940 ÷ 2 = 40470) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80940 ÷ 3 = 26980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80940 ÷ 4 = 20235) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80940 ÷ 5 = 16188) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80940 ÷ 6 = 13490) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (80940 ÷ 10 = 8094) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80940 ÷ 12 = 6745) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80940 a prime number?
No. 80940 = × 3 × 5 × 19 × 71, so it is divisible by 2.
What are the factors of 80940?
1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 71, 76, 95, 114, 142, 190, 213, 228, 284, 285, 355, 380, 426, 570, 710, 852, 1065, 1140, 1349, 1420, 2130, 2698, 4047, 4260, 5396, 6745, 8094, 13490, 16188, 20235, 26980, 40470, 80940.
What is 80940 in binary?
10011110000101100 (hexadecimal 13C2C, octal 236054).
What is the square root of 80940?
About 284.4996, exactly 2√20235.
Is 80940 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80940?
It is a composite number with 48 divisors.