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The number 47215

47215 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 19 × 71. Divisors (16): 1, 5, 7, 19, 35, 71, 95, 133, 355, 497, 665, 1349, 2485, 6745, 9443, 47215.

Number

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How to work it out

  1. 1

    What is special about 47215: a Harshad number: divisible by its digit sum 19.

  2. 2

    47215 is composite. Its prime factorisation is

    47215=5×7×19×7147215 = 5 \times 7 \times 19 \times 71
  3. 3

    The divisors add up to 69120; without 47215 itself that is 21905, so 47215 is deficient (21905 is less than 47215). Euler's totient φ(47215) = 30240 numbers up to 47215 share no factor with it.

  4. 4

    The digits of 47215 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47215 = 5 \times 7 \times 19 \times 71 \]

47215 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors69120
Euler totient φ(n)30240
Square2229256225
Cube105254332663375
Square root217.290129
Digit sum / digital root19 / 1
Collatz steps to 188
Scientific notation4.7215 × 10410^{4}

47215 in other forms

FormValue
In wordsforty-seven thousand two hundred and fifteen
Binary (base 2)1011100001101111
Octal (base 8)134157
Hexadecimal (base 16)B86F
Base 32101202201
As time47215 seconds = 13 h 6 min 55 s

Is 47215 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 1)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.
5Yes (47215 ÷ 5 = 9443)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (47215 ÷ 7 = 6745)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47215 a prime number?

No. 47215 = 5 × 7 × 19 × 71, so it is divisible by 5.

What are the factors of 47215?

1, 5, 7, 19, 35, 71, 95, 133, 355, 497, 665, 1349, 2485, 6745, 9443, 47215.

What is 47215 in binary?

1011100001101111 (hexadecimal B86F, octal 134157).

What is the square root of 47215?

About 217.2901.

Is 47215 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 47215?

47215 is a Harshad number: divisible by its digit sum 19.

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    47215: is it prime? Factors, square root, binary, Roman numeral | WordGPT