The number 10348
10348 is a composite number with 12 divisors. Its prime factorisation is × 13 × 199. Divisors (12): 1, 2, 4, 13, 26, 52, 199, 398, 796, 2587, 5174, 10348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10348 is composite. Its prime factorisation is
- 3
The divisors add up to 19600; without 10348 itself that is 9252, so 10348 is deficient (9252 is less than 10348). Euler's totient φ(10348) = 4752 numbers up to 10348 share no factor with it.
- 4
The digits of 10348 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 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10348 = 2^{2} \times 13 \times 199 \]10348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19600 |
| Euler totient φ(n) | 4752 |
| Square | 107081104 |
| Cube | 1108075264192 |
| Square root | 101.725120 (= 2√2587) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0348 × |
10348 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and forty-eight |
| Binary (base 2) | 10100001101100 |
| Octal (base 8) | 24154 |
| Hexadecimal (base 16) | 286C |
| Base 3 | 112012021 |
| As time | 10348 seconds = 2 h 52 min 28 s |
Is 10348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10348 ÷ 2 = 5174) | 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 (10348 ÷ 4 = 2587) | 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 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 4) | 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 8) | 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 10348 a prime number?
No. 10348 = × 13 × 199, so it is divisible by 2.
What are the factors of 10348?
1, 2, 4, 13, 26, 52, 199, 398, 796, 2587, 5174, 10348.
What is 10348 in binary?
10100001101100 (hexadecimal 286C, octal 24154).
What is the square root of 10348?
About 101.7251, exactly 2√2587.
Is 10348 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10348?
It is a composite number with 12 divisors.