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The number 71469

71469 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 2647. Divisors (8): 1, 3, 9, 27, 2647, 7941, 23823, 71469.

Number

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How to work it out

  1. 1

    What is special about 71469: a Harshad number: divisible by its digit sum 27.

  2. 2

    71469 is composite. Its prime factorisation is

    71469=33×264771469 = 3^{3} \times 2647
  3. 3

    The divisors add up to 105920; without 71469 itself that is 34451, so 71469 is deficient (34451 is less than 71469). Euler's totient φ(71469) = 47628 numbers up to 71469 share no factor with it.

  4. 4

    The digits of 71469 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
\[ 71469 = 3^{3} \times 2647 \]

71469 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors105920
Euler totient φ(n)47628
Square5107817961
Cube365050641854709
Square root267.336866 (= 3√7941)
Digit sum / digital root27 / 9
Collatz steps to 1125
Scientific notation7.1469 × 10410^{4}

71469 in other forms

FormValue
In wordsseventy-one thousand four hundred and sixty-nine
Binary (base 2)10001011100101101
Octal (base 8)213455
Hexadecimal (base 16)1172D
Base 310122001000
As time71469 seconds = 19 h 51 min 9 s

Is 71469 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 (71469 ÷ 3 = 23823)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 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.
8No (remainder 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (71469 ÷ 9 = 7941)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71469 a prime number?

No. 71469 = 333^{3} × 2647, so it is divisible by 3.

What are the factors of 71469?

1, 3, 9, 27, 2647, 7941, 23823, 71469.

What is 71469 in binary?

10001011100101101 (hexadecimal 1172D, octal 213455).

What is the square root of 71469?

About 267.3369, exactly 3√7941.

Is 71469 divisible by 3?

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

What is special about the number 71469?

71469 is a Harshad number: divisible by its digit sum 27.

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