The number 10408
10408 is a composite number with 8 divisors. Its prime factorisation is × 1301. Divisors (8): 1, 2, 4, 8, 1301, 2602, 5204, 10408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10408 is composite. Its prime factorisation is
- 3
The divisors add up to 19530; without 10408 itself that is 9122, so 10408 is deficient (9122 is less than 10408). Euler's totient φ(10408) = 5200 numbers up to 10408 share no factor with it.
- 4
The digits of 10408 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10408 = 2^{3} \times 1301 \]10408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19530 |
| Euler totient φ(n) | 5200 |
| Square | 108326464 |
| Cube | 1127461837312 |
| Square root | 102.019606 (= 2√2602) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.0408 × |
10408 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and eight |
| Binary (base 2) | 10100010101000 |
| Octal (base 8) | 24250 |
| Hexadecimal (base 16) | 28A8 |
| Base 3 | 112021111 |
| As time | 10408 seconds = 2 h 53 min 28 s |
Is 10408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10408 ÷ 2 = 5204) | 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 (10408 ÷ 4 = 2602) | 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 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 (10408 ÷ 8 = 1301) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10408 a prime number?
No. 10408 = × 1301, so it is divisible by 2.
What are the factors of 10408?
1, 2, 4, 8, 1301, 2602, 5204, 10408.
What is 10408 in binary?
10100010101000 (hexadecimal 28A8, octal 24250).
What is the square root of 10408?
About 102.0196, exactly 2√2602.
Is 10408 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10408?
It is a composite number with 8 divisors.