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The number 71487

71487 is a composite number with 18 divisors. Its prime factorisation is 323^{2} × 13213^{2} × 47. Divisors (18): 1, 3, 9, 13, 39, 47, 117, 141, 169, 423, 507, 611, 1521, 1833, 5499, 7943 … 71487.

Number

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How to work it out

  1. 1

    71487 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    71487 is composite. Its prime factorisation is

    71487=32×132×4771487 = 3^{2} \times 13^{2} \times 47
  3. 3

    The divisors add up to 114192; without 71487 itself that is 42705, so 71487 is deficient (42705 is less than 71487). Euler's totient φ(71487) = 43056 numbers up to 71487 share no factor with it.

  4. 4

    The digits of 71487 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71487 = 3^{2} \times 13^{2} \times 47 \]

71487 at a glance

PropertyValue
Typecomposite
Number of divisors18
Sum of divisors114192
Euler totient φ(n)43056
Square5110391169
Cube365326533498303
Square root267.370529 (= 39√47)
Digit sum / digital root27 / 9
Collatz steps to 1125
Scientific notation7.1487 × 10410^{4}

71487 in other forms

FormValue
In wordsseventy-one thousand four hundred and eighty-seven
Binary (base 2)10001011100111111
Octal (base 8)213477
Hexadecimal (base 16)1173F
Base 310122001200
As time71487 seconds = 19 h 51 min 27 s

Is 71487 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (71487 ÷ 3 = 23829)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (71487 ÷ 9 = 7943)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71487 a prime number?

No. 71487 = 323^{2} × 13213^{2} × 47, so it is divisible by 3.

What are the factors of 71487?

1, 3, 9, 13, 39, 47, 117, 141, 169, 423, 507, 611, 1521, 1833, 5499, 7943, 23829, 71487.

What is 71487 in binary?

10001011100111111 (hexadecimal 1173F, octal 213477).

What is the square root of 71487?

About 267.3705, exactly 39√47.

Is 71487 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 71487?

It is a composite number with 18 divisors.

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    71487: is it prime? Factors, square root, binary, Roman numeral | WordGPT