The number 71370
71370 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 13 × 61. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 61, 65 … 71370.
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How to work it out
- 1
What is special about 71370: a Harshad number: divisible by its digit sum 18.
- 2
71370 is composite. Its prime factorisation is
- 3
The divisors add up to 203112; without 71370 itself that is 131742, so 71370 is abundant (131742 is more than 71370). Euler's totient φ(71370) = 17280 numbers up to 71370 share no factor with it.
- 4
The digits of 71370 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71370 = 2 \times 3^{2} \times 5 \times 13 \times 61 \]71370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 203112 |
| Euler totient φ(n) | 17280 |
| Square | 5093676900 |
| Cube | 363535720353000 |
| Square root | 267.151642 (= 3√7930) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.137 × |
71370 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and seventy |
| Binary (base 2) | 10001011011001010 |
| Octal (base 8) | 213312 |
| Hexadecimal (base 16) | 116CA |
| Base 3 | 10121220100 |
| As time | 71370 seconds = 19 h 49 min 30 s |
Is 71370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71370 ÷ 2 = 35685) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71370 ÷ 3 = 23790) | 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 (71370 ÷ 5 = 14274) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71370 ÷ 6 = 11895) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (71370 ÷ 9 = 7930) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71370 ÷ 10 = 7137) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 71370 a prime number?
No. 71370 = 2 × × 5 × 13 × 61, so it is divisible by 2.
What are the factors of 71370?
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 61, 65, 78, 90, 117, 122, 130, 183, 195, 234, 305, 366, 390, 549, 585, 610, 793, 915, 1098, 1170, 1586, 1830, 2379, 2745, 3965, 4758, 5490, 7137, 7930, 11895, 14274, 23790, 35685, 71370.
What is 71370 in binary?
10001011011001010 (hexadecimal 116CA, octal 213312).
What is the square root of 71370?
About 267.1516, exactly 3√7930.
Is 71370 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71370?
71370 is a Harshad number: divisible by its digit sum 18.