The number 71430
71430 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2381. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2381, 4762, 7143, 11905, 14286, 23810, 35715, 71430.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71430: a Harshad number: divisible by its digit sum 15.
- 2
71430 is composite. Its prime factorisation is
- 3
The divisors add up to 171504; without 71430 itself that is 100074, so 71430 is abundant (100074 is more than 71430). Euler's totient φ(71430) = 19040 numbers up to 71430 share no factor with it.
- 4
The digits of 71430 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71430 = 2 \times 3 \times 5 \times 2381 \]
71430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 171504 |
| Euler totient φ(n) | 19040 |
| Square | 5102244900 |
| Cube | 364453353207000 |
| Square root | 267.263915 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.143 × |
71430 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and thirty |
| Binary (base 2) | 10001011100000110 |
| Octal (base 8) | 213406 |
| Hexadecimal (base 16) | 11706 |
| Base 3 | 10121222120 |
| As time | 71430 seconds = 19 h 50 min 30 s |
Is 71430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71430 ÷ 2 = 35715) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71430 ÷ 3 = 23810) | 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 (71430 ÷ 5 = 14286) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71430 ÷ 6 = 11905) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71430 ÷ 10 = 7143) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71430 a prime number?
No. 71430 = 2 × 3 × 5 × 2381, so it is divisible by 2.
What are the factors of 71430?
1, 2, 3, 5, 6, 10, 15, 30, 2381, 4762, 7143, 11905, 14286, 23810, 35715, 71430.
What is 71430 in binary?
10001011100000110 (hexadecimal 11706, octal 213406).
What is the square root of 71430?
About 267.2639.
Is 71430 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 71430?
71430 is a Harshad number: divisible by its digit sum 15.