The number 71504
71504 is a composite number with 20 divisors. Its prime factorisation is × 41 × 109. Divisors (20): 1, 2, 4, 8, 16, 41, 82, 109, 164, 218, 328, 436, 656, 872, 1744, 4469 … 71504.
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How to work it out
- 1
What is special about 71504: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71504 is composite. Its prime factorisation is
- 3
The divisors add up to 143220; without 71504 itself that is 71716, so 71504 is abundant (71716 is more than 71504). Euler's totient φ(71504) = 34560 numbers up to 71504 share no factor with it.
- 4
The digits of 71504 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71504 = 2^{4} \times 41 \times 109 \]71504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 143220 |
| Euler totient φ(n) | 34560 |
| Square | 5112822016 |
| Cube | 365587225432064 |
| Square root | 267.402319 (= 4√4469) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1504 × |
71504 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand five hundred and four |
| Binary (base 2) | 10001011101010000 |
| Octal (base 8) | 213520 |
| Hexadecimal (base 16) | 11750 |
| Base 3 | 10122002022 |
| As time | 71504 seconds = 19 h 51 min 44 s |
Is 71504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71504 ÷ 2 = 35752) | 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 (71504 ÷ 4 = 17876) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (71504 ÷ 8 = 8938) | 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 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71504 a prime number?
No. 71504 = × 41 × 109, so it is divisible by 2.
What are the factors of 71504?
1, 2, 4, 8, 16, 41, 82, 109, 164, 218, 328, 436, 656, 872, 1744, 4469, 8938, 17876, 35752, 71504.
What is 71504 in binary?
10001011101010000 (hexadecimal 11750, octal 213520).
What is the square root of 71504?
About 267.4023, exactly 4√4469.
Is 71504 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 71504?
71504 is a happy number: repeatedly adding the squares of its digits reaches 1.