The number 71000
71000 is a composite number with 32 divisors. Its prime factorisation is × × 71. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 71, 100, 125, 142, 200, 250 … 71000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71000: a Harshad number: divisible by its digit sum 8.
- 2
71000 is composite. Its prime factorisation is
- 3
The divisors add up to 168480; without 71000 itself that is 97480, so 71000 is abundant (97480 is more than 71000). Euler's totient φ(71000) = 28000 numbers up to 71000 share no factor with it.
- 4
The digits of 71000 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71000 = 2^{3} \times 5^{3} \times 71 \]71000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 168480 |
| Euler totient φ(n) | 28000 |
| Square | 5041000000 |
| Cube | 357911000000000 |
| Square root | 266.458252 (= 10√710) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1 × |
71000 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand |
| Binary (base 2) | 10001010101011000 |
| Octal (base 8) | 212530 |
| Hexadecimal (base 16) | 11558 |
| Base 3 | 10121101122 |
| As time | 71000 seconds = 19 h 43 min 20 s |
Is 71000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71000 ÷ 2 = 35500) | 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 | Yes (71000 ÷ 4 = 17750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71000 ÷ 5 = 14200) | 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 | No (remainder 6) | 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 | Yes (71000 ÷ 8 = 8875) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71000 ÷ 10 = 7100) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71000 a prime number?
No. 71000 = × × 71, so it is divisible by 2.
What are the factors of 71000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 71, 100, 125, 142, 200, 250, 284, 355, 500, 568, 710, 1000, 1420, 1775, 2840, 3550, 7100, 8875, 14200, 17750, 35500, 71000.
What is 71000 in binary?
10001010101011000 (hexadecimal 11558, octal 212530).
What is the square root of 71000?
About 266.4583, exactly 10√710.
Is 71000 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 71000?
71000 is a Harshad number: divisible by its digit sum 8.