The number 71340
71340 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 29 × 41. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 41, 58, 60, 82 … 71340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71340: a Harshad number: divisible by its digit sum 15.
- 2
71340 is composite. Its prime factorisation is
- 3
The divisors add up to 211680; without 71340 itself that is 140340, so 71340 is abundant (140340 is more than 71340). Euler's totient φ(71340) = 17920 numbers up to 71340 share no factor with it.
- 4
The digits of 71340 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
\[ 71340 = 2^{2} \times 3 \times 5 \times 29 \times 41 \]71340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 211680 |
| Euler totient φ(n) | 17920 |
| Square | 5089395600 |
| Cube | 363077482104000 |
| Square root | 267.095489 (= 2√17835) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.134 × |
71340 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and forty |
| Binary (base 2) | 10001011010101100 |
| Octal (base 8) | 213254 |
| Hexadecimal (base 16) | 116AC |
| Base 3 | 10121212020 |
| As time | 71340 seconds = 19 h 49 min 0 s |
Is 71340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71340 ÷ 2 = 35670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71340 ÷ 3 = 23780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71340 ÷ 4 = 17835) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71340 ÷ 5 = 14268) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71340 ÷ 6 = 11890) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 (71340 ÷ 10 = 7134) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71340 ÷ 12 = 5945) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71340 a prime number?
No. 71340 = × 3 × 5 × 29 × 41, so it is divisible by 2.
What are the factors of 71340?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 41, 58, 60, 82, 87, 116, 123, 145, 164, 174, 205, 246, 290, 348, 410, 435, 492, 580, 615, 820, 870, 1189, 1230, 1740, 2378, 2460, 3567, 4756, 5945, 7134, 11890, 14268, 17835, 23780, 35670, 71340.
What is 71340 in binary?
10001011010101100 (hexadecimal 116AC, octal 213254).
What is the square root of 71340?
About 267.0955, exactly 2√17835.
Is 71340 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 71340?
71340 is a Harshad number: divisible by its digit sum 15.