The number 43420
43420 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 167. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 167, 260, 334, 668, 835 … 43420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43420: a Harshad number: divisible by its digit sum 13.
- 2
43420 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 43420 itself that is 55364, so 43420 is abundant (55364 is more than 43420). Euler's totient φ(43420) = 15936 numbers up to 43420 share no factor with it.
- 4
The digits of 43420 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 207 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43420 = 2^{2} \times 5 \times 13 \times 167 \]43420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 15936 |
| Square | 1885296400 |
| Cube | 81859569688000 |
| Square root | 208.374663 (= 2√10855) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 207 |
| Scientific notation | 4.342 × |
43420 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and twenty |
| Binary (base 2) | 1010100110011100 |
| Octal (base 8) | 124634 |
| Hexadecimal (base 16) | A99C |
| Base 3 | 2012120011 |
| As time | 43420 seconds = 12 h 3 min 40 s |
Is 43420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43420 ÷ 2 = 21710) | 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 (43420 ÷ 4 = 10855) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43420 ÷ 5 = 8684) | 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 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43420 ÷ 10 = 4342) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43420 a prime number?
No. 43420 = × 5 × 13 × 167, so it is divisible by 2.
What are the factors of 43420?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 167, 260, 334, 668, 835, 1670, 2171, 3340, 4342, 8684, 10855, 21710, 43420.
What is 43420 in binary?
1010100110011100 (hexadecimal A99C, octal 124634).
What is the square root of 43420?
About 208.3747, exactly 2√10855.
Is 43420 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 43420?
43420 is a Harshad number: divisible by its digit sum 13.