The number 71010
71010 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 263. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 263 … 71010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71010: a Harshad number: divisible by its digit sum 9.
- 2
71010 is composite. Its prime factorisation is
- 3
The divisors add up to 190080; without 71010 itself that is 119070, so 71010 is abundant (119070 is more than 71010). Euler's totient φ(71010) = 18864 numbers up to 71010 share no factor with it.
- 4
The digits of 71010 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71010 = 2 \times 3^{3} \times 5 \times 263 \]71010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 190080 |
| Euler totient φ(n) | 18864 |
| Square | 5042420100 |
| Cube | 358062251301000 |
| Square root | 266.477016 (= 3√7890) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.101 × |
71010 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and ten |
| Binary (base 2) | 10001010101100010 |
| Octal (base 8) | 212542 |
| Hexadecimal (base 16) | 11562 |
| Base 3 | 10121102000 |
| As time | 71010 seconds = 19 h 43 min 30 s |
Is 71010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71010 ÷ 2 = 35505) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71010 ÷ 3 = 23670) | 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 (71010 ÷ 5 = 14202) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71010 ÷ 6 = 11835) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71010 ÷ 9 = 7890) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71010 ÷ 10 = 7101) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71010 a prime number?
No. 71010 = 2 × × 5 × 263, so it is divisible by 2.
What are the factors of 71010?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 263, 270, 526, 789, 1315, 1578, 2367, 2630, 3945, 4734, 7101, 7890, 11835, 14202, 23670, 35505, 71010.
What is 71010 in binary?
10001010101100010 (hexadecimal 11562, octal 212542).
What is the square root of 71010?
About 266.4770, exactly 3√7890.
Is 71010 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 71010?
71010 is a Harshad number: divisible by its digit sum 9.