The number 40101
40101 is a composite number with 4 divisors. Its prime factorisation is 3 × 13367. Divisors (4): 1, 3, 13367, 40101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40101: a semiprime: 3 × 13367, the product of two primes.
- 2
40101 is composite. Its prime factorisation is
- 3
The divisors add up to 53472; without 40101 itself that is 13371, so 40101 is deficient (13371 is less than 40101). Euler's totient φ(40101) = 26732 numbers up to 40101 share no factor with it.
- 4
The digits of 40101 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40101 = 3 \times 13367 \]
40101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 53472 |
| Euler totient φ(n) | 26732 |
| Square | 1608090201 |
| Cube | 64486025150301 |
| Square root | 200.252341 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0101 × |
40101 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and one |
| Binary (base 2) | 1001110010100101 |
| Octal (base 8) | 116245 |
| Hexadecimal (base 16) | 9CA5 |
| Base 3 | 2001000020 |
| As time | 40101 seconds = 11 h 8 min 21 s |
Is 40101 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 | Yes (40101 ÷ 3 = 13367) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40101 a prime number?
No. 40101 = 3 × 13367, so it is divisible by 3.
What are the factors of 40101?
1, 3, 13367, 40101.
What is 40101 in binary?
1001110010100101 (hexadecimal 9CA5, octal 116245).
What is the square root of 40101?
About 200.2523.
Is 40101 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 40101?
40101 is a semiprime: 3 × 13367, the product of two primes.