The number 39400
39400 is a composite number with 24 divisors. Its prime factorisation is × × 197. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 197, 200, 394, 788, 985 … 39400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39400 is composite. Its prime factorisation is
- 3
The divisors add up to 92070; without 39400 itself that is 52670, so 39400 is abundant (52670 is more than 39400). Euler's totient φ(39400) = 15680 numbers up to 39400 share no factor with it.
- 4
The digits of 39400 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39400 = 2^{3} \times 5^{2} \times 197 \]39400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 92070 |
| Euler totient φ(n) | 15680 |
| Square | 1552360000 |
| Cube | 61162984000000 |
| Square root | 198.494332 (= 10√394) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.94 × |
39400 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand four hundred |
| Binary (base 2) | 1001100111101000 |
| Octal (base 8) | 114750 |
| Hexadecimal (base 16) | 99E8 |
| Base 3 | 2000001021 |
| As time | 39400 seconds = 10 h 56 min 40 s |
Is 39400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39400 ÷ 2 = 19700) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39400 ÷ 4 = 9850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (39400 ÷ 5 = 7880) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (39400 ÷ 8 = 4925) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (39400 ÷ 10 = 3940) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39400 a prime number?
No. 39400 = × × 197, so it is divisible by 2.
What are the factors of 39400?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 197, 200, 394, 788, 985, 1576, 1970, 3940, 4925, 7880, 9850, 19700, 39400.
What is 39400 in binary?
1001100111101000 (hexadecimal 99E8, octal 114750).
What is the square root of 39400?
About 198.4943, exactly 10√394.
Is 39400 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 39400?
It is a composite number with 24 divisors.