The number 74430
74430 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 827. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 827, 1654, 2481, 4135 … 74430.
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How to work it out
- 1
What is special about 74430: a Harshad number: divisible by its digit sum 18.
- 2
74430 is composite. Its prime factorisation is
- 3
The divisors add up to 193752; without 74430 itself that is 119322, so 74430 is abundant (119322 is more than 74430). Euler's totient φ(74430) = 19824 numbers up to 74430 share no factor with it.
- 4
The digits of 74430 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74430 = 2 \times 3^{2} \times 5 \times 827 \]74430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 193752 |
| Euler totient φ(n) | 19824 |
| Square | 5539824900 |
| Cube | 412329167307000 |
| Square root | 272.818621 (= 3√8270) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.443 × |
74430 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and thirty |
| Binary (base 2) | 10010001010111110 |
| Octal (base 8) | 221276 |
| Hexadecimal (base 16) | 122BE |
| Base 3 | 10210002200 |
| As time | 74430 seconds = 20 h 40 min 30 s |
Is 74430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74430 ÷ 2 = 37215) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74430 ÷ 3 = 24810) | 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 (74430 ÷ 5 = 14886) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74430 ÷ 6 = 12405) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74430 ÷ 9 = 8270) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74430 ÷ 10 = 7443) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 74430 a prime number?
No. 74430 = 2 × × 5 × 827, so it is divisible by 2.
What are the factors of 74430?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 827, 1654, 2481, 4135, 4962, 7443, 8270, 12405, 14886, 24810, 37215, 74430.
What is 74430 in binary?
10010001010111110 (hexadecimal 122BE, octal 221276).
What is the square root of 74430?
About 272.8186, exactly 3√8270.
Is 74430 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 74430?
74430 is a Harshad number: divisible by its digit sum 18.