The number 43002
43002 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2389. Divisors (12): 1, 2, 3, 6, 9, 18, 2389, 4778, 7167, 14334, 21501, 43002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43002: a Harshad number: divisible by its digit sum 9.
- 2
43002 is composite. Its prime factorisation is
- 3
The divisors add up to 93210; without 43002 itself that is 50208, so 43002 is abundant (50208 is more than 43002). Euler's totient φ(43002) = 14328 numbers up to 43002 share no factor with it.
- 4
The digits of 43002 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43002 = 2 \times 3^{2} \times 2389 \]43002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93210 |
| Euler totient φ(n) | 14328 |
| Square | 1849172004 |
| Cube | 79518094516008 |
| Square root | 207.369236 (= 3√4778) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.3002 × |
43002 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and two |
| Binary (base 2) | 1010011111111010 |
| Octal (base 8) | 123772 |
| Hexadecimal (base 16) | A7FA |
| Base 3 | 2011222200 |
| As time | 43002 seconds = 11 h 56 min 42 s |
Is 43002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43002 ÷ 2 = 21501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43002 ÷ 3 = 14334) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43002 ÷ 6 = 7167) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43002 ÷ 9 = 4778) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43002 a prime number?
No. 43002 = 2 × × 2389, so it is divisible by 2.
What are the factors of 43002?
1, 2, 3, 6, 9, 18, 2389, 4778, 7167, 14334, 21501, 43002.
What is 43002 in binary?
1010011111111010 (hexadecimal A7FA, octal 123772).
What is the square root of 43002?
About 207.3692, exactly 3√4778.
Is 43002 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 43002?
43002 is a Harshad number: divisible by its digit sum 9.