The number 43464
43464 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1811. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1811, 3622, 5433, 7244, 10866, 14488, 21732, 43464.
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How to work it out
- 1
43464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43464 is composite. Its prime factorisation is
- 3
The divisors add up to 108720; without 43464 itself that is 65256, so 43464 is abundant (65256 is more than 43464). Euler's totient φ(43464) = 14480 numbers up to 43464 share no factor with it.
- 4
The digits of 43464 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43464 = 2^{3} \times 3 \times 1811 \]43464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 108720 |
| Euler totient φ(n) | 14480 |
| Square | 1889119296 |
| Cube | 82108681081344 |
| Square root | 208.480215 (= 2√10866) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3464 × |
43464 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and sixty-four |
| Binary (base 2) | 1010100111001000 |
| Octal (base 8) | 124710 |
| Hexadecimal (base 16) | A9C8 |
| Base 3 | 2012121210 |
| As time | 43464 seconds = 12 h 4 min 24 s |
Is 43464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43464 ÷ 2 = 21732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43464 ÷ 3 = 14488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43464 ÷ 4 = 10866) | 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 | Yes (43464 ÷ 6 = 7244) | 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 (43464 ÷ 8 = 5433) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (43464 ÷ 12 = 3622) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43464 a prime number?
No. 43464 = × 3 × 1811, so it is divisible by 2.
What are the factors of 43464?
1, 2, 3, 4, 6, 8, 12, 24, 1811, 3622, 5433, 7244, 10866, 14488, 21732, 43464.
What is 43464 in binary?
1010100111001000 (hexadecimal A9C8, octal 124710).
What is the square root of 43464?
About 208.4802, exactly 2√10866.
Is 43464 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 43464?
It is a composite number with 16 divisors.