The number 36426
36426 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 467. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 467, 934, 1401, 2802, 6071, 12142, 18213, 36426.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36426 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36426 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 36426 itself that is 42198, so 36426 is abundant (42198 is more than 36426). Euler's totient φ(36426) = 11184 numbers up to 36426 share no factor with it.
- 4
The digits of 36426 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36426 = 2 \times 3 \times 13 \times 467 \]
36426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 11184 |
| Square | 1326853476 |
| Cube | 48331964716776 |
| Square root | 190.855967 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6426 × |
36426 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand four hundred and twenty-six |
| Binary (base 2) | 1000111001001010 |
| Octal (base 8) | 107112 |
| Hexadecimal (base 16) | 8E4A |
| Base 3 | 1211222010 |
| As time | 36426 seconds = 10 h 7 min 6 s |
Is 36426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36426 ÷ 2 = 18213) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36426 ÷ 3 = 12142) | 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 | Yes (36426 ÷ 6 = 6071) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36426 a prime number?
No. 36426 = 2 × 3 × 13 × 467, so it is divisible by 2.
What are the factors of 36426?
1, 2, 3, 6, 13, 26, 39, 78, 467, 934, 1401, 2802, 6071, 12142, 18213, 36426.
What is 36426 in binary?
1000111001001010 (hexadecimal 8E4A, octal 107112).
What is the square root of 36426?
About 190.8560.
Is 36426 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 36426?
It is a composite number with 16 divisors.