The number 39884
39884 is a composite number with 18 divisors. Its prime factorisation is × × 59. Divisors (18): 1, 2, 4, 13, 26, 52, 59, 118, 169, 236, 338, 676, 767, 1534, 3068, 9971 … 39884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39884 is composite. Its prime factorisation is
- 3
The divisors add up to 76860; without 39884 itself that is 36976, so 39884 is deficient (36976 is less than 39884). Euler's totient φ(39884) = 18096 numbers up to 39884 share no factor with it.
- 4
The digits of 39884 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39884 = 2^{2} \times 13^{2} \times 59 \]39884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 76860 |
| Euler totient φ(n) | 18096 |
| Square | 1590733456 |
| Cube | 63444813159104 |
| Square root | 199.709789 (= 26√59) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 119 |
| Scientific notation | 3.9884 × |
39884 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand eight hundred and eighty-four |
| Binary (base 2) | 1001101111001100 |
| Octal (base 8) | 115714 |
| Hexadecimal (base 16) | 9BCC |
| Base 3 | 2000201012 |
| As time | 39884 seconds = 11 h 4 min 44 s |
Is 39884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39884 ÷ 2 = 19942) | 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 (39884 ÷ 4 = 9971) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39884 a prime number?
No. 39884 = × × 59, so it is divisible by 2.
What are the factors of 39884?
1, 2, 4, 13, 26, 52, 59, 118, 169, 236, 338, 676, 767, 1534, 3068, 9971, 19942, 39884.
What is 39884 in binary?
1001101111001100 (hexadecimal 9BCC, octal 115714).
What is the square root of 39884?
About 199.7098, exactly 26√59.
Is 39884 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 39884?
It is a composite number with 18 divisors.