The number 35408
35408 is a composite number with 10 divisors. Its prime factorisation is × 2213. Divisors (10): 1, 2, 4, 8, 16, 2213, 4426, 8852, 17704, 35408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35408 is composite. Its prime factorisation is
- 3
The divisors add up to 68634; without 35408 itself that is 33226, so 35408 is deficient (33226 is less than 35408). Euler's totient φ(35408) = 17696 numbers up to 35408 share no factor with it.
- 4
The digits of 35408 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35408 = 2^{4} \times 2213 \]35408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 68634 |
| Euler totient φ(n) | 17696 |
| Square | 1253726464 |
| Cube | 44391946637312 |
| Square root | 188.170136 (= 4√2213) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5408 × |
35408 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and eight |
| Binary (base 2) | 1000101001010000 |
| Octal (base 8) | 105120 |
| Hexadecimal (base 16) | 8A50 |
| Base 3 | 1210120102 |
| As time | 35408 seconds = 9 h 50 min 8 s |
Is 35408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35408 ÷ 2 = 17704) | 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 (35408 ÷ 4 = 8852) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 (35408 ÷ 8 = 4426) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 35408 a prime number?
No. 35408 = × 2213, so it is divisible by 2.
What are the factors of 35408?
1, 2, 4, 8, 16, 2213, 4426, 8852, 17704, 35408.
What is 35408 in binary?
1000101001010000 (hexadecimal 8A50, octal 105120).
What is the square root of 35408?
About 188.1701, exactly 4√2213.
Is 35408 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 35408?
It is a composite number with 10 divisors.