The number 71008
71008 is a composite number with 24 divisors. Its prime factorisation is × 7 × 317. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 317, 634, 1268, 2219 … 71008.
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How to work it out
- 1
What is special about 71008: a Harshad number: divisible by its digit sum 16.
- 2
71008 is composite. Its prime factorisation is
- 3
The divisors add up to 160272; without 71008 itself that is 89264, so 71008 is abundant (89264 is more than 71008). Euler's totient φ(71008) = 30336 numbers up to 71008 share no factor with it.
- 4
The digits of 71008 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71008 = 2^{5} \times 7 \times 317 \]71008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 160272 |
| Euler totient φ(n) | 30336 |
| Square | 5042136064 |
| Cube | 358031997632512 |
| Square root | 266.473263 (= 4√4438) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1008 × |
71008 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and eight |
| Binary (base 2) | 10001010101100000 |
| Octal (base 8) | 212540 |
| Hexadecimal (base 16) | 11560 |
| Base 3 | 10121101221 |
| As time | 71008 seconds = 19 h 43 min 28 s |
Is 71008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71008 ÷ 2 = 35504) | 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 (71008 ÷ 4 = 17752) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (71008 ÷ 7 = 10144) | 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 (71008 ÷ 8 = 8876) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 71008 a prime number?
No. 71008 = × 7 × 317, so it is divisible by 2.
What are the factors of 71008?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 317, 634, 1268, 2219, 2536, 4438, 5072, 8876, 10144, 17752, 35504, 71008.
What is 71008 in binary?
10001010101100000 (hexadecimal 11560, octal 212540).
What is the square root of 71008?
About 266.4733, exactly 4√4438.
Is 71008 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 71008?
71008 is a Harshad number: divisible by its digit sum 16.