The number 43408
43408 is a composite number with 10 divisors. Its prime factorisation is × 2713. Divisors (10): 1, 2, 4, 8, 16, 2713, 5426, 10852, 21704, 43408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43408 is composite. Its prime factorisation is
- 3
The divisors add up to 84134; without 43408 itself that is 40726, so 43408 is deficient (40726 is less than 43408). Euler's totient φ(43408) = 21696 numbers up to 43408 share no factor with it.
- 4
The digits of 43408 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43408 = 2^{4} \times 2713 \]43408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 84134 |
| Euler totient φ(n) | 21696 |
| Square | 1884254464 |
| Cube | 81791717773312 |
| Square root | 208.345866 (= 4√2713) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3408 × |
43408 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and eight |
| Binary (base 2) | 1010100110010000 |
| Octal (base 8) | 124620 |
| Hexadecimal (base 16) | A990 |
| Base 3 | 2012112201 |
| As time | 43408 seconds = 12 h 3 min 28 s |
Is 43408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43408 ÷ 2 = 21704) | 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 (43408 ÷ 4 = 10852) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (43408 ÷ 8 = 5426) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 43408 a prime number?
No. 43408 = × 2713, so it is divisible by 2.
What are the factors of 43408?
1, 2, 4, 8, 16, 2713, 5426, 10852, 21704, 43408.
What is 43408 in binary?
1010100110010000 (hexadecimal A990, octal 124620).
What is the square root of 43408?
About 208.3459, exactly 4√2713.
Is 43408 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 43408?
It is a composite number with 10 divisors.