The number 10426
10426 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 401. Divisors (8): 1, 2, 13, 26, 401, 802, 5213, 10426.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10426: a Harshad number: divisible by its digit sum 13.
- 2
10426 is composite. Its prime factorisation is
- 3
The divisors add up to 16884; without 10426 itself that is 6458, so 10426 is deficient (6458 is less than 10426). Euler's totient φ(10426) = 4800 numbers up to 10426 share no factor with it.
- 4
The digits of 10426 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 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10426 = 2 \times 13 \times 401 \]
10426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16884 |
| Euler totient φ(n) | 4800 |
| Square | 108701476 |
| Cube | 1133321588776 |
| Square root | 102.107786 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 104 |
| Scientific notation | 1.0426 × |
10426 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and twenty-six |
| Binary (base 2) | 10100010111010 |
| Octal (base 8) | 24272 |
| Hexadecimal (base 16) | 28BA |
| Base 3 | 112022011 |
| As time | 10426 seconds = 2 h 53 min 46 s |
Is 10426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10426 ÷ 2 = 5213) | 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 1) | 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 3) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 10426 a prime number?
No. 10426 = 2 × 13 × 401, so it is divisible by 2.
What are the factors of 10426?
1, 2, 13, 26, 401, 802, 5213, 10426.
What is 10426 in binary?
10100010111010 (hexadecimal 28BA, octal 24272).
What is the square root of 10426?
About 102.1078.
Is 10426 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10426?
10426 is a Harshad number: divisible by its digit sum 13.