The number 35984
35984 is a composite number with 20 divisors. Its prime factorisation is × 13 × 173. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 173, 208, 346, 692, 1384, 2249, 2768 … 35984.
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How to work it out
- 1
35984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35984 is composite. Its prime factorisation is
- 3
The divisors add up to 75516; without 35984 itself that is 39532, so 35984 is abundant (39532 is more than 35984). Euler's totient φ(35984) = 16512 numbers up to 35984 share no factor with it.
- 4
The digits of 35984 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35984 = 2^{4} \times 13 \times 173 \]35984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 75516 |
| Euler totient φ(n) | 16512 |
| Square | 1294848256 |
| Cube | 46593819643904 |
| Square root | 189.694491 (= 4√2249) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5984 × |
35984 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and eighty-four |
| Binary (base 2) | 1000110010010000 |
| Octal (base 8) | 106220 |
| Hexadecimal (base 16) | 8C90 |
| Base 3 | 1211100202 |
| As time | 35984 seconds = 9 h 59 min 44 s |
Is 35984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35984 ÷ 2 = 17992) | 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 (35984 ÷ 4 = 8996) | 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 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 (35984 ÷ 8 = 4498) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 35984 a prime number?
No. 35984 = × 13 × 173, so it is divisible by 2.
What are the factors of 35984?
1, 2, 4, 8, 13, 16, 26, 52, 104, 173, 208, 346, 692, 1384, 2249, 2768, 4498, 8996, 17992, 35984.
What is 35984 in binary?
1000110010010000 (hexadecimal 8C90, octal 106220).
What is the square root of 35984?
About 189.6945, exactly 4√2249.
Is 35984 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 35984?
It is a composite number with 20 divisors.