The number 71020
71020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 53 × 67. Divisors (24): 1, 2, 4, 5, 10, 20, 53, 67, 106, 134, 212, 265, 268, 335, 530, 670 … 71020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71020: a Harshad number: divisible by its digit sum 10.
- 2
71020 is composite. Its prime factorisation is
- 3
The divisors add up to 154224; without 71020 itself that is 83204, so 71020 is abundant (83204 is more than 71020). Euler's totient φ(71020) = 27456 numbers up to 71020 share no factor with it.
- 4
The digits of 71020 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71020 = 2^{2} \times 5 \times 53 \times 67 \]71020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 154224 |
| Euler totient φ(n) | 27456 |
| Square | 5043840400 |
| Cube | 358213545208000 |
| Square root | 266.495779 (= 2√17755) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.102 × |
71020 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and twenty |
| Binary (base 2) | 10001010101101100 |
| Octal (base 8) | 212554 |
| Hexadecimal (base 16) | 1156C |
| Base 3 | 10121102101 |
| As time | 71020 seconds = 19 h 43 min 40 s |
Is 71020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71020 ÷ 2 = 35510) | 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 (71020 ÷ 4 = 17755) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71020 ÷ 5 = 14204) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71020 ÷ 10 = 7102) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 71020 a prime number?
No. 71020 = × 5 × 53 × 67, so it is divisible by 2.
What are the factors of 71020?
1, 2, 4, 5, 10, 20, 53, 67, 106, 134, 212, 265, 268, 335, 530, 670, 1060, 1340, 3551, 7102, 14204, 17755, 35510, 71020.
What is 71020 in binary?
10001010101101100 (hexadecimal 1156C, octal 212554).
What is the square root of 71020?
About 266.4958, exactly 2√17755.
Is 71020 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 71020?
71020 is a Harshad number: divisible by its digit sum 10.