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The number 38471

38471 is a composite number with 8 divisors. Its prime factorisation is 17 × 31 × 73. Divisors (8): 1, 17, 31, 73, 527, 1241, 2263, 38471.

Number

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How to work it out

  1. 1

    What is special about 38471: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    38471 is composite. Its prime factorisation is

    38471=17×31×7338471 = 17 \times 31 \times 73
  3. 3

    The divisors add up to 42624; without 38471 itself that is 4153, so 38471 is deficient (4153 is less than 38471). Euler's totient φ(38471) = 34560 numbers up to 38471 share no factor with it.

  4. 4

    The digits of 38471 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38471 = 17 \times 31 \times 73 \]

38471 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors42624
Euler totient φ(n)34560
Square1480017841
Cube56937766361111
Square root196.140256
Digit sum / digital root23 / 5
Collatz steps to 180
Scientific notation3.8471 × 10410^{4}

38471 in other forms

FormValue
In wordsthirty-eight thousand four hundred and seventy-one
Binary (base 2)1001011001000111
Octal (base 8)113107
Hexadecimal (base 16)9647
Base 31221202212
As time38471 seconds = 10 h 41 min 11 s

Is 38471 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.
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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 4)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 38471 a prime number?

No. 38471 = 17 × 31 × 73, so it is divisible by 17.

What are the factors of 38471?

1, 17, 31, 73, 527, 1241, 2263, 38471.

What is 38471 in binary?

1001011001000111 (hexadecimal 9647, octal 113107).

What is the square root of 38471?

About 196.1403.

Is 38471 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 38471?

38471 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    38471: is it prime? Factors, square root, binary, Roman numeral | WordGPT