The number 19400
19400 is a composite number with 24 divisors. Its prime factorisation is × × 97. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 97, 100, 194, 200, 388, 485 … 19400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19400 is composite. Its prime factorisation is
- 3
The divisors add up to 45570; without 19400 itself that is 26170, so 19400 is abundant (26170 is more than 19400). Euler's totient φ(19400) = 7680 numbers up to 19400 share no factor with it.
- 4
The digits of 19400 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19400 = 2^{3} \times 5^{2} \times 97 \]19400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 45570 |
| Euler totient φ(n) | 7680 |
| Square | 376360000 |
| Cube | 7301384000000 |
| Square root | 139.283883 (= 10√194) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 167 |
| Scientific notation | 1.94 × |
19400 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand four hundred |
| Binary (base 2) | 100101111001000 |
| Octal (base 8) | 45710 |
| Hexadecimal (base 16) | 4BC8 |
| Base 3 | 222121112 |
| As time | 19400 seconds = 5 h 23 min 20 s |
Is 19400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19400 ÷ 2 = 9700) | 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 (19400 ÷ 4 = 4850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (19400 ÷ 5 = 3880) | 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 3) | 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 (19400 ÷ 8 = 2425) | 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 (19400 ÷ 10 = 1940) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 19400 a prime number?
No. 19400 = × × 97, so it is divisible by 2.
What are the factors of 19400?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 97, 100, 194, 200, 388, 485, 776, 970, 1940, 2425, 3880, 4850, 9700, 19400.
What is 19400 in binary?
100101111001000 (hexadecimal 4BC8, octal 45710).
What is the square root of 19400?
About 139.2839, exactly 10√194.
Is 19400 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 19400?
It is a composite number with 24 divisors.