The number 71500
71500 is a composite number with 48 divisors. Its prime factorisation is × × 11 × 13. Divisors (48): 1, 2, 4, 5, 10, 11, 13, 20, 22, 25, 26, 44, 50, 52, 55, 65 … 71500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71500: a Harshad number: divisible by its digit sum 13.
- 2
71500 is composite. Its prime factorisation is
- 3
The divisors add up to 183456; without 71500 itself that is 111956, so 71500 is abundant (111956 is more than 71500). Euler's totient φ(71500) = 24000 numbers up to 71500 share no factor with it.
- 4
The digits of 71500 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71500 = 2^{2} \times 5^{3} \times 11 \times 13 \]71500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 183456 |
| Euler totient φ(n) | 24000 |
| Square | 5112250000 |
| Cube | 365525875000000 |
| Square root | 267.394839 (= 10√715) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.15 × |
71500 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand five hundred |
| Binary (base 2) | 10001011101001100 |
| Octal (base 8) | 213514 |
| Hexadecimal (base 16) | 1174C |
| Base 3 | 10122002011 |
| As time | 71500 seconds = 19 h 51 min 40 s |
Is 71500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71500 ÷ 2 = 35750) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71500 ÷ 4 = 17875) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71500 ÷ 5 = 14300) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71500 ÷ 10 = 7150) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (71500 ÷ 11 = 6500) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71500 a prime number?
No. 71500 = × × 11 × 13, so it is divisible by 2.
What are the factors of 71500?
1, 2, 4, 5, 10, 11, 13, 20, 22, 25, 26, 44, 50, 52, 55, 65, 100, 110, 125, 130, 143, 220, 250, 260, 275, 286, 325, 500, 550, 572, 650, 715, 1100, 1300, 1375, 1430, 1625, 2750, 2860, 3250, 3575, 5500, 6500, 7150, 14300, 17875, 35750, 71500.
What is 71500 in binary?
10001011101001100 (hexadecimal 1174C, octal 213514).
What is the square root of 71500?
About 267.3948, exactly 10√715.
Is 71500 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 71500?
71500 is a Harshad number: divisible by its digit sum 13.