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The number 23471

23471 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 479. Divisors (6): 1, 7, 49, 479, 3353, 23471.

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How to work it out

  1. 1

    What is special about 23471: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    23471 is composite. Its prime factorisation is

    23471=72Ɨ47923471 = 7^{2} \times 479
  3. 3

    The divisors add up to 27360; without 23471 itself that is 3889, so 23471 is deficient (3889 is less than 23471). Euler's totient φ(23471) = 20076 numbers up to 23471 share no factor with it.

  4. 4

    The digits of 23471 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 82 steps to reach 1.

LaTeX source of the formulas on this page
\[ 23471 = 7^{2} \times 479 \]

23471 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors27360
Euler totient φ(n)20076
Square550887841
Cube12929888516111
Square root153.202480 (= 7√479)
Digit sum / digital root17 / 8
Collatz steps to 182
Scientific notation2.3471 Ɨ 10410^{4}

23471 in other forms

FormValue
In wordstwenty-three thousand four hundred and seventy-one
Binary (base 2)101101110101111
Octal (base 8)55657
Hexadecimal (base 16)5BAF
Base 31012012022
As time23471 seconds = 6 h 31 min 11 s

Is 23471 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).
3No (remainder 2)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (23471 Ć· 7 = 3353)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.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 23471 a prime number?

No. 23471 = 727^{2} Ɨ 479, so it is divisible by 7.

What are the factors of 23471?

1, 7, 49, 479, 3353, 23471.

What is 23471 in binary?

101101110101111 (hexadecimal 5BAF, octal 55657).

What is the square root of 23471?

About 153.2025, exactly 7√479.

Is 23471 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 23471?

23471 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    23471: is it prime? Factors, square root, binary, Roman numeral | WordGPT