The number 10438
10438 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 307. Divisors (8): 1, 2, 17, 34, 307, 614, 5219, 10438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10438 is composite. Its prime factorisation is
- 3
The divisors add up to 16632; without 10438 itself that is 6194, so 10438 is deficient (6194 is less than 10438). Euler's totient φ(10438) = 4896 numbers up to 10438 share no factor with it.
- 4
The digits of 10438 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10438 = 2 \times 17 \times 307 \]
10438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16632 |
| Euler totient φ(n) | 4896 |
| Square | 108951844 |
| Cube | 1137239347672 |
| Square root | 102.166531 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.0438 × |
10438 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and thirty-eight |
| Binary (base 2) | 10100011000110 |
| Octal (base 8) | 24306 |
| Hexadecimal (base 16) | 28C6 |
| Base 3 | 112022121 |
| As time | 10438 seconds = 2 h 53 min 58 s |
Is 10438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10438 ÷ 2 = 5219) | 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 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10438 a prime number?
No. 10438 = 2 × 17 × 307, so it is divisible by 2.
What are the factors of 10438?
1, 2, 17, 34, 307, 614, 5219, 10438.
What is 10438 in binary?
10100011000110 (hexadecimal 28C6, octal 24306).
What is the square root of 10438?
About 102.1665.
Is 10438 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10438?
It is a composite number with 8 divisors.