The number 43998
43998 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 7333. Divisors (8): 1, 2, 3, 6, 7333, 14666, 21999, 43998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43998 is composite. Its prime factorisation is
- 3
The divisors add up to 88008; without 43998 itself that is 44010, so 43998 is abundant (44010 is more than 43998). Euler's totient φ(43998) = 14664 numbers up to 43998 share no factor with it.
- 4
The digits of 43998 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43998 = 2 \times 3 \times 7333 \]
43998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 88008 |
| Euler totient φ(n) | 14664 |
| Square | 1935824004 |
| Cube | 85172384527992 |
| Square root | 209.757002 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3998 × |
43998 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and ninety-eight |
| Binary (base 2) | 1010101111011110 |
| Octal (base 8) | 125736 |
| Hexadecimal (base 16) | ABDE |
| Base 3 | 2020100120 |
| As time | 43998 seconds = 12 h 13 min 18 s |
Is 43998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43998 ÷ 2 = 21999) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43998 ÷ 3 = 14666) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43998 ÷ 6 = 7333) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43998 a prime number?
No. 43998 = 2 × 3 × 7333, so it is divisible by 2.
What are the factors of 43998?
1, 2, 3, 6, 7333, 14666, 21999, 43998.
What is 43998 in binary?
1010101111011110 (hexadecimal ABDE, octal 125736).
What is the square root of 43998?
About 209.7570.
Is 43998 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 43998?
It is a composite number with 8 divisors.