The number 35384
35384 is a composite number with 8 divisors. Its prime factorisation is × 4423. Divisors (8): 1, 2, 4, 8, 4423, 8846, 17692, 35384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35384 is composite. Its prime factorisation is
- 3
The divisors add up to 66360; without 35384 itself that is 30976, so 35384 is deficient (30976 is less than 35384). Euler's totient φ(35384) = 17688 numbers up to 35384 share no factor with it.
- 4
The digits of 35384 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35384 = 2^{3} \times 4423 \]35384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66360 |
| Euler totient φ(n) | 17688 |
| Square | 1252027456 |
| Cube | 44301739503104 |
| Square root | 188.106353 (= 2√8846) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5384 × |
35384 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and eighty-four |
| Binary (base 2) | 1000101000111000 |
| Octal (base 8) | 105070 |
| Hexadecimal (base 16) | 8A38 |
| Base 3 | 1210112112 |
| As time | 35384 seconds = 9 h 49 min 44 s |
Is 35384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35384 ÷ 2 = 17692) | 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 (35384 ÷ 4 = 8846) | 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 6) | 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 (35384 ÷ 8 = 4423) | 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 8) | 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 35384 a prime number?
No. 35384 = × 4423, so it is divisible by 2.
What are the factors of 35384?
1, 2, 4, 8, 4423, 8846, 17692, 35384.
What is 35384 in binary?
1000101000111000 (hexadecimal 8A38, octal 105070).
What is the square root of 35384?
About 188.1064, exactly 2√8846.
Is 35384 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 35384?
It is a composite number with 8 divisors.