The number 43072
43072 is a composite number with 14 divisors. Its prime factorisation is × 673. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 673, 1346, 2692, 5384, 10768, 21536, 43072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43072: a Harshad number: divisible by its digit sum 16.
- 2
43072 is composite. Its prime factorisation is
- 3
The divisors add up to 85598; without 43072 itself that is 42526, so 43072 is deficient (42526 is less than 43072). Euler's totient φ(43072) = 21504 numbers up to 43072 share no factor with it.
- 4
The digits of 43072 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43072 = 2^{6} \times 673 \]43072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 85598 |
| Euler totient φ(n) | 21504 |
| Square | 1855197184 |
| Cube | 79907053109248 |
| Square root | 207.537948 (= 8√673) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3072 × |
43072 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and seventy-two |
| Binary (base 2) | 1010100001000000 |
| Octal (base 8) | 124100 |
| Hexadecimal (base 16) | A840 |
| Base 3 | 2012002021 |
| As time | 43072 seconds = 11 h 57 min 52 s |
Is 43072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43072 ÷ 2 = 21536) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43072 ÷ 4 = 10768) | 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 | No (remainder 4) | 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 | Yes (43072 ÷ 8 = 5384) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43072 a prime number?
No. 43072 = × 673, so it is divisible by 2.
What are the factors of 43072?
1, 2, 4, 8, 16, 32, 64, 673, 1346, 2692, 5384, 10768, 21536, 43072.
What is 43072 in binary?
1010100001000000 (hexadecimal A840, octal 124100).
What is the square root of 43072?
About 207.5379, exactly 8√673.
Is 43072 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 43072?
43072 is a Harshad number: divisible by its digit sum 16.