The number 43470
43470 is a composite number with 64 divisors. Its prime factorisation is 2 × × 5 × 7 × 23. Divisors (64): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 23, 27, 30, 35 … 43470.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43470: a Harshad number: divisible by its digit sum 18.
- 2
43470 is composite. Its prime factorisation is
- 3
The divisors add up to 138240; without 43470 itself that is 94770, so 43470 is abundant (94770 is more than 43470). Euler's totient φ(43470) = 9504 numbers up to 43470 share no factor with it.
- 4
The digits of 43470 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43470 = 2 \times 3^{3} \times 5 \times 7 \times 23 \]43470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 138240 |
| Euler totient φ(n) | 9504 |
| Square | 1889640900 |
| Cube | 82142689923000 |
| Square root | 208.494604 (= 3√4830) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.347 × |
43470 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and seventy |
| Binary (base 2) | 1010100111001110 |
| Octal (base 8) | 124716 |
| Hexadecimal (base 16) | A9CE |
| Base 3 | 2012122000 |
| As time | 43470 seconds = 12 h 4 min 30 s |
Is 43470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43470 ÷ 2 = 21735) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43470 ÷ 3 = 14490) | 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 | Yes (43470 ÷ 5 = 8694) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43470 ÷ 6 = 7245) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43470 ÷ 7 = 6210) | 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 | Yes (43470 ÷ 9 = 4830) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43470 ÷ 10 = 4347) | 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 43470 a prime number?
No. 43470 = 2 × × 5 × 7 × 23, so it is divisible by 2.
What are the factors of 43470?
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 23, 27, 30, 35, 42, 45, 46, 54, 63, 69, 70, 90, 105, 115, 126, 135, 138, 161, 189, 207, 210, 230, 270, 315, 322, 345, 378, 414, 483, 621, 630, 690, 805, 945, 966, 1035, 1242, 1449, 1610, 1890, 2070, 2415, 2898, 3105, 4347, 4830, 6210, 7245, 8694, 14490, 21735, 43470.
What is 43470 in binary?
1010100111001110 (hexadecimal A9CE, octal 124716).
What is the square root of 43470?
About 208.4946, exactly 3√4830.
Is 43470 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43470?
43470 is a Harshad number: divisible by its digit sum 18.