The number 39664
39664 is a composite number with 20 divisors. Its prime factorisation is × 37 × 67. Divisors (20): 1, 2, 4, 8, 16, 37, 67, 74, 134, 148, 268, 296, 536, 592, 1072, 2479 … 39664.
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How to work it out
- 1
39664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39664 is composite. Its prime factorisation is
- 3
The divisors add up to 80104; without 39664 itself that is 40440, so 39664 is abundant (40440 is more than 39664). Euler's totient φ(39664) = 19008 numbers up to 39664 share no factor with it.
- 4
The digits of 39664 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39664 = 2^{4} \times 37 \times 67 \]39664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 80104 |
| Euler totient φ(n) | 19008 |
| Square | 1573232896 |
| Cube | 62400709586944 |
| Square root | 199.158229 (= 4√2479) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.9664 × |
39664 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand six hundred and sixty-four |
| Binary (base 2) | 1001101011110000 |
| Octal (base 8) | 115360 |
| Hexadecimal (base 16) | 9AF0 |
| Base 3 | 2000102001 |
| As time | 39664 seconds = 11 h 1 min 4 s |
Is 39664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39664 ÷ 2 = 19832) | 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 (39664 ÷ 4 = 9916) | 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 4) | 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 | Yes (39664 ÷ 8 = 4958) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39664 a prime number?
No. 39664 = × 37 × 67, so it is divisible by 2.
What are the factors of 39664?
1, 2, 4, 8, 16, 37, 67, 74, 134, 148, 268, 296, 536, 592, 1072, 2479, 4958, 9916, 19832, 39664.
What is 39664 in binary?
1001101011110000 (hexadecimal 9AF0, octal 115360).
What is the square root of 39664?
About 199.1582, exactly 4√2479.
Is 39664 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 39664?
It is a composite number with 20 divisors.