The number 10439
10439 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 73. Divisors (8): 1, 11, 13, 73, 143, 803, 949, 10439.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10439 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10439 is composite. Its prime factorisation is
- 3
The divisors add up to 12432; without 10439 itself that is 1993, so 10439 is deficient (1993 is less than 10439). Euler's totient φ(10439) = 8640 numbers up to 10439 share no factor with it.
- 4
The digits of 10439 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10439 = 11 \times 13 \times 73 \]
10439 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12432 |
| Euler totient φ(n) | 8640 |
| Square | 108972721 |
| Cube | 1137566234519 |
| Square root | 102.171425 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0439 × |
10439 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and thirty-nine |
| Binary (base 2) | 10100011000111 |
| Octal (base 8) | 24307 |
| Hexadecimal (base 16) | 28C7 |
| Base 3 | 112022122 |
| As time | 10439 seconds = 2 h 53 min 59 s |
Is 10439 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | 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 5) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (10439 ÷ 11 = 949) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10439 a prime number?
No. 10439 = 11 × 13 × 73, so it is divisible by 11.
What are the factors of 10439?
1, 11, 13, 73, 143, 803, 949, 10439.
What is 10439 in binary?
10100011000111 (hexadecimal 28C7, octal 24307).
What is the square root of 10439?
About 102.1714.
Is 10439 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 10439?
It is a composite number with 8 divisors.