The number 71330
71330 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 1019. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 1019, 2038, 5095, 7133, 10190, 14266, 35665, 71330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71330: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
71330 is composite. Its prime factorisation is
- 3
The divisors add up to 146880; without 71330 itself that is 75550, so 71330 is abundant (75550 is more than 71330). Euler's totient φ(71330) = 24432 numbers up to 71330 share no factor with it.
- 4
The digits of 71330 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71330 = 2 \times 5 \times 7 \times 1019 \]
71330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 146880 |
| Euler totient φ(n) | 24432 |
| Square | 5087968900 |
| Cube | 362924821637000 |
| Square root | 267.076768 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.133 × |
71330 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and thirty |
| Binary (base 2) | 10001011010100010 |
| Octal (base 8) | 213242 |
| Hexadecimal (base 16) | 116A2 |
| Base 3 | 10121211212 |
| As time | 71330 seconds = 19 h 48 min 50 s |
Is 71330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71330 ÷ 2 = 35665) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 (71330 ÷ 5 = 14266) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71330 ÷ 7 = 10190) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71330 ÷ 10 = 7133) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71330 a prime number?
No. 71330 = 2 × 5 × 7 × 1019, so it is divisible by 2.
What are the factors of 71330?
1, 2, 5, 7, 10, 14, 35, 70, 1019, 2038, 5095, 7133, 10190, 14266, 35665, 71330.
What is 71330 in binary?
10001011010100010 (hexadecimal 116A2, octal 213242).
What is the square root of 71330?
About 267.0768.
Is 71330 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 71330?
71330 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.