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The number 43199

43199 is a composite number with 4 divisors. Its prime factorisation is 13 × 3323. Divisors (4): 1, 13, 3323, 43199.

Number

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How to work it out

  1. 1

    What is special about 43199: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 3323, the product of two primes.

  2. 2

    43199 is composite. Its prime factorisation is

    43199=13×332343199 = 13 \times 3323
  3. 3

    The divisors add up to 46536; without 43199 itself that is 3337, so 43199 is deficient (3337 is less than 43199). Euler's totient φ(43199) = 39864 numbers up to 43199 share no factor with it.

  4. 4

    The digits of 43199 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.

LaTeX source of the formulas on this page
\[ 43199 = 13 \times 3323 \]

43199 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors46536
Euler totient φ(n)39864
Square1866153601
Cube80615969409599
Square root207.843691
Digit sum / digital root26 / 8
Collatz steps to 1163
Scientific notation4.3199 × 10410^{4}

43199 in other forms

FormValue
In wordsforty-three thousand one hundred and ninety-nine
Binary (base 2)1010100010111111
Octal (base 8)124277
Hexadecimal (base 16)A8BF
Base 32012020222
As time43199 seconds = 11 h 59 min 59 s

Is 43199 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 8)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 43199 a prime number?

No. 43199 = 13 × 3323, so it is divisible by 13.

What are the factors of 43199?

1, 13, 3323, 43199.

What is 43199 in binary?

1010100010111111 (hexadecimal A8BF, octal 124277).

What is the square root of 43199?

About 207.8437.

Is 43199 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 43199?

43199 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 3323, the product of two primes.

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    43199: is it prime? Factors, square root, binary, Roman numeral | WordGPT