The number 36401
36401 is a composite number with 4 divisors. Its prime factorisation is 89 × 409. Divisors (4): 1, 89, 409, 36401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36401: a semiprime: 89 × 409, the product of two primes.
- 2
36401 is composite. Its prime factorisation is
- 3
The divisors add up to 36900; without 36401 itself that is 499, so 36401 is deficient (499 is less than 36401). Euler's totient φ(36401) = 35904 numbers up to 36401 share no factor with it.
- 4
The digits of 36401 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36401 = 89 \times 409 \]
36401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36900 |
| Euler totient φ(n) | 35904 |
| Square | 1325032801 |
| Cube | 48232518989201 |
| Square root | 190.790461 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.6401 × |
36401 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand four hundred and one |
| Binary (base 2) | 1000111000110001 |
| Octal (base 8) | 107061 |
| Hexadecimal (base 16) | 8E31 |
| Base 3 | 1211221012 |
| As time | 36401 seconds = 10 h 6 min 41 s |
Is 36401 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36401 a prime number?
No. 36401 = 89 × 409, so it is divisible by 89.
What are the factors of 36401?
1, 89, 409, 36401.
What is 36401 in binary?
1000111000110001 (hexadecimal 8E31, octal 107061).
What is the square root of 36401?
About 190.7905.
Is 36401 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 36401?
36401 is a semiprime: 89 × 409, the product of two primes.