The number 71264
71264 is a composite number with 24 divisors. Its prime factorisation is × 17 × 131. Divisors (24): 1, 2, 4, 8, 16, 17, 32, 34, 68, 131, 136, 262, 272, 524, 544, 1048 … 71264.
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How to work it out
- 1
71264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71264 is composite. Its prime factorisation is
- 3
The divisors add up to 149688; without 71264 itself that is 78424, so 71264 is abundant (78424 is more than 71264). Euler's totient φ(71264) = 33280 numbers up to 71264 share no factor with it.
- 4
The digits of 71264 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71264 = 2^{5} \times 17 \times 131 \]71264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 149688 |
| Euler totient φ(n) | 33280 |
| Square | 5078557696 |
| Cube | 361918335647744 |
| Square root | 266.953179 (= 4√4454) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.1264 × |
71264 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand two hundred and sixty-four |
| Binary (base 2) | 10001011001100000 |
| Octal (base 8) | 213140 |
| Hexadecimal (base 16) | 11660 |
| Base 3 | 10121202102 |
| As time | 71264 seconds = 19 h 47 min 44 s |
Is 71264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71264 ÷ 2 = 35632) | 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 (71264 ÷ 4 = 17816) | 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 4) | 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 (71264 ÷ 8 = 8908) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 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 71264 a prime number?
No. 71264 = × 17 × 131, so it is divisible by 2.
What are the factors of 71264?
1, 2, 4, 8, 16, 17, 32, 34, 68, 131, 136, 262, 272, 524, 544, 1048, 2096, 2227, 4192, 4454, 8908, 17816, 35632, 71264.
What is 71264 in binary?
10001011001100000 (hexadecimal 11660, octal 213140).
What is the square root of 71264?
About 266.9532, exactly 4√4454.
Is 71264 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 71264?
It is a composite number with 24 divisors.