The number 43901
43901 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 307. Divisors (8): 1, 11, 13, 143, 307, 3377, 3991, 43901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43901 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43901 is composite. Its prime factorisation is
- 3
The divisors add up to 51744; without 43901 itself that is 7843, so 43901 is deficient (7843 is less than 43901). Euler's totient φ(43901) = 36720 numbers up to 43901 share no factor with it.
- 4
The digits of 43901 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43901 = 11 \times 13 \times 307 \]
43901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51744 |
| Euler totient φ(n) | 36720 |
| Square | 1927297801 |
| Cube | 84610300761701 |
| Square root | 209.525655 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.3901 × |
43901 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and one |
| Binary (base 2) | 1010101101111101 |
| Octal (base 8) | 125575 |
| Hexadecimal (base 16) | AB7D |
| Base 3 | 2020012222 |
| As time | 43901 seconds = 12 h 11 min 41 s |
Is 43901 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 4) | 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 8) | 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 (43901 ÷ 11 = 3991) | 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 43901 a prime number?
No. 43901 = 11 × 13 × 307, so it is divisible by 11.
What are the factors of 43901?
1, 11, 13, 143, 307, 3377, 3991, 43901.
What is 43901 in binary?
1010101101111101 (hexadecimal AB7D, octal 125575).
What is the square root of 43901?
About 209.5257.
Is 43901 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 43901?
It is a composite number with 8 divisors.