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The number 47399

47399 is a composite number with 8 divisors. Its prime factorisation is 11 × 31 × 139. Divisors (8): 1, 11, 31, 139, 341, 1529, 4309, 47399.

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How to work it out

  1. 1

    What is special about 47399: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    47399 is composite. Its prime factorisation is

    47399=11×31×13947399 = 11 \times 31 \times 139
  3. 3

    The divisors add up to 53760; without 47399 itself that is 6361, so 47399 is deficient (6361 is less than 47399). Euler's totient φ(47399) = 41400 numbers up to 47399 share no factor with it.

  4. 4

    The digits of 47399 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47399 = 11 \times 31 \times 139 \]

47399 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors53760
Euler totient φ(n)41400
Square2246665201
Cube106489683862199
Square root217.713114
Digit sum / digital root32 / 5
Collatz steps to 175
Scientific notation4.7399 × 10410^{4}

47399 in other forms

FormValue
In wordsforty-seven thousand three hundred and ninety-nine
Binary (base 2)1011100100100111
Octal (base 8)134447
Hexadecimal (base 16)B927
Base 32102000112
As time47399 seconds = 13 h 9 min 59 s

Is 47399 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 4)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 2)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 9)A number is divisible by 10 if the last digit is 0.
11Yes (47399 ÷ 11 = 4309)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 47399 a prime number?

No. 47399 = 11 × 31 × 139, so it is divisible by 11.

What are the factors of 47399?

1, 11, 31, 139, 341, 1529, 4309, 47399.

What is 47399 in binary?

1011100100100111 (hexadecimal B927, octal 134447).

What is the square root of 47399?

About 217.7131.

Is 47399 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 47399?

47399 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    47399: is it prime? Factors, square root, binary, Roman numeral | WordGPT