The number 43989
43989 is a binary palindrome (1010101111010101). Its prime factorisation is 3 × 11 × 31 × 43. Divisors (16): 1, 3, 11, 31, 33, 43, 93, 129, 341, 473, 1023, 1333, 1419, 3999, 14663, 43989.
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How to work it out
- 1
What is special about 43989: a binary palindrome (1010101111010101); a Harshad number: divisible by its digit sum 33.
- 2
43989 is composite. Its prime factorisation is
- 3
The divisors add up to 67584; without 43989 itself that is 23595, so 43989 is deficient (23595 is less than 43989). Euler's totient φ(43989) = 25200 numbers up to 43989 share no factor with it.
- 4
The digits of 43989 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43989 = 3 \times 11 \times 31 \times 43 \]
43989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67584 |
| Euler totient φ(n) | 25200 |
| Square | 1935032121 |
| Cube | 85120127970669 |
| Square root | 209.735548 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.3989 × |
43989 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and eighty-nine |
| Binary (base 2) | 1010101111010101 |
| Octal (base 8) | 125725 |
| Hexadecimal (base 16) | ABD5 |
| Base 3 | 2020100020 |
| As time | 43989 seconds = 12 h 13 min 9 s |
Is 43989 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 (43989 ÷ 3 = 14663) | 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 4) | 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 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 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (43989 ÷ 11 = 3999) | 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 43989 a prime number?
No. 43989 = 3 × 11 × 31 × 43, so it is divisible by 3.
What are the factors of 43989?
1, 3, 11, 31, 33, 43, 93, 129, 341, 473, 1023, 1333, 1419, 3999, 14663, 43989.
What is 43989 in binary?
1010101111010101 (hexadecimal ABD5, octal 125725).
What is the square root of 43989?
About 209.7355.
Is 43989 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 43989?
43989 is a binary palindrome (1010101111010101); a Harshad number: divisible by its digit sum 33.