The number 40980
40980 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 683. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 683, 1366, 2049, 2732 … 40980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40980 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 40980 itself that is 73932, so 40980 is abundant (73932 is more than 40980). Euler's totient φ(40980) = 10912 numbers up to 40980 share no factor with it.
- 4
The digits of 40980 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40980 = 2^{2} \times 3 \times 5 \times 683 \]40980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 10912 |
| Square | 1679360400 |
| Cube | 68820189192000 |
| Square root | 202.435175 (= 2√10245) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.098 × |
40980 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and eighty |
| Binary (base 2) | 1010000000010100 |
| Octal (base 8) | 120024 |
| Hexadecimal (base 16) | A014 |
| Base 3 | 2002012210 |
| As time | 40980 seconds = 11 h 23 min 0 s |
Is 40980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40980 ÷ 2 = 20490) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40980 ÷ 3 = 13660) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40980 ÷ 4 = 10245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40980 ÷ 5 = 8196) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40980 ÷ 6 = 6830) | 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 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 (40980 ÷ 10 = 4098) | 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 | Yes (40980 ÷ 12 = 3415) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40980 a prime number?
No. 40980 = × 3 × 5 × 683, so it is divisible by 2.
What are the factors of 40980?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 683, 1366, 2049, 2732, 3415, 4098, 6830, 8196, 10245, 13660, 20490, 40980.
What is 40980 in binary?
1010000000010100 (hexadecimal A014, octal 120024).
What is the square root of 40980?
About 202.4352, exactly 2√10245.
Is 40980 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40980?
It is a composite number with 24 divisors.