The number 43101
43101 is a composite number with 6 divisors. Its prime factorisation is × 4789. Divisors (6): 1, 3, 9, 4789, 14367, 43101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43101: a Harshad number: divisible by its digit sum 9.
- 2
43101 is composite. Its prime factorisation is
- 3
The divisors add up to 62270; without 43101 itself that is 19169, so 43101 is deficient (19169 is less than 43101). Euler's totient φ(43101) = 28728 numbers up to 43101 share no factor with it.
- 4
The digits of 43101 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43101 = 3^{2} \times 4789 \]43101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 62270 |
| Euler totient φ(n) | 28728 |
| Square | 1857696201 |
| Cube | 80068563959301 |
| Square root | 207.607803 (= 3√4789) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.3101 × |
43101 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and one |
| Binary (base 2) | 1010100001011101 |
| Octal (base 8) | 124135 |
| Hexadecimal (base 16) | A85D |
| Base 3 | 2012010100 |
| As time | 43101 seconds = 11 h 58 min 21 s |
Is 43101 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 (43101 ÷ 3 = 14367) | 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 2) | 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 | Yes (43101 ÷ 9 = 4789) | 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 3) | 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 43101 a prime number?
No. 43101 = × 4789, so it is divisible by 3.
What are the factors of 43101?
1, 3, 9, 4789, 14367, 43101.
What is 43101 in binary?
1010100001011101 (hexadecimal A85D, octal 124135).
What is the square root of 43101?
About 207.6078, exactly 3√4789.
Is 43101 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 43101?
43101 is a Harshad number: divisible by its digit sum 9.