The number 19940
19940 is a composite number with 12 divisors. Its prime factorisation is × 5 × 997. Divisors (12): 1, 2, 4, 5, 10, 20, 997, 1994, 3988, 4985, 9970, 19940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19940 is composite. Its prime factorisation is
- 3
The divisors add up to 41916; without 19940 itself that is 21976, so 19940 is abundant (21976 is more than 19940). Euler's totient φ(19940) = 7968 numbers up to 19940 share no factor with it.
- 4
The digits of 19940 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19940 = 2^{2} \times 5 \times 997 \]19940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 41916 |
| Euler totient φ(n) | 7968 |
| Square | 397603600 |
| Cube | 7928215784000 |
| Square root | 141.209065 (= 2√4985) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 118 |
| Scientific notation | 1.994 × |
19940 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand nine hundred and forty |
| Binary (base 2) | 100110111100100 |
| Octal (base 8) | 46744 |
| Hexadecimal (base 16) | 4DE4 |
| Base 3 | 1000100112 |
| As time | 19940 seconds = 5 h 32 min 20 s |
Is 19940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19940 ÷ 2 = 9970) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (19940 ÷ 4 = 4985) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (19940 ÷ 5 = 3988) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (19940 ÷ 10 = 1994) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19940 a prime number?
No. 19940 = × 5 × 997, so it is divisible by 2.
What are the factors of 19940?
1, 2, 4, 5, 10, 20, 997, 1994, 3988, 4985, 9970, 19940.
What is 19940 in binary?
100110111100100 (hexadecimal 4DE4, octal 46744).
What is the square root of 19940?
About 141.2091, exactly 2√4985.
Is 19940 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 19940?
It is a composite number with 12 divisors.