The number 36421
36421 is a composite number with 12 divisors. Its prime factorisation is 7 × × 43. Divisors (12): 1, 7, 11, 43, 77, 121, 301, 473, 847, 3311, 5203, 36421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36421 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36421 is composite. Its prime factorisation is
- 3
The divisors add up to 46816; without 36421 itself that is 10395, so 36421 is deficient (10395 is less than 36421). Euler's totient φ(36421) = 27720 numbers up to 36421 share no factor with it.
- 4
The digits of 36421 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 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36421 = 7 \times 11^{2} \times 43 \]36421 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 46816 |
| Euler totient φ(n) | 27720 |
| Square | 1326489241 |
| Cube | 48312064646461 |
| Square root | 190.842867 (= 11√301) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6421 × |
36421 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand four hundred and twenty-one |
| Binary (base 2) | 1000111001000101 |
| Octal (base 8) | 107105 |
| Hexadecimal (base 16) | 8E45 |
| Base 3 | 1211221221 |
| As time | 36421 seconds = 10 h 7 min 1 s |
Is 36421 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (36421 ÷ 7 = 5203) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (36421 ÷ 11 = 3311) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36421 a prime number?
No. 36421 = 7 × × 43, so it is divisible by 7.
What are the factors of 36421?
1, 7, 11, 43, 77, 121, 301, 473, 847, 3311, 5203, 36421.
What is 36421 in binary?
1000111001000101 (hexadecimal 8E45, octal 107105).
What is the square root of 36421?
About 190.8429, exactly 11√301.
Is 36421 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 36421?
It is a composite number with 12 divisors.