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The number 5199

5199 is a composite number with 4 divisors. Its prime factorisation is 3 × 1733. Divisors (4): 1, 3, 1733, 5199.

Number

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How to work it out

  1. 1

    What is special about 5199: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1733, the product of two primes.

  2. 2

    5199 is composite. Its prime factorisation is

    5199=3×17335199 = 3 \times 1733
  3. 3

    The divisors add up to 6936; without 5199 itself that is 1737, so 5199 is deficient (1737 is less than 5199). Euler's totient φ(5199) = 3464 numbers up to 5199 share no factor with it.

  4. 4

    The digits of 5199 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5199 = 3 \times 1733 \]

5199 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors6936
Euler totient φ(n)3464
Square27029601
Cube140526895599
Square root72.104091
Digit sum / digital root24 / 6
Collatz steps to 1147
Scientific notation5.199 × 10310^{3}

5199 in other forms

FormValue
In wordsfive thousand one hundred and ninety-nine
Binary (base 2)1010001001111
Octal (base 8)12117
Hexadecimal (base 16)144F
Base 321010120
As time5199 seconds = 1 h 26 min 39 s

Is 5199 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).
3Yes (5199 ÷ 3 = 1733)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 6)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5199 a prime number?

No. 5199 = 3 × 1733, so it is divisible by 3.

What are the factors of 5199?

1, 3, 1733, 5199.

What is 5199 in binary?

1010001001111 (hexadecimal 144F, octal 12117).

What is the square root of 5199?

About 72.1041.

Is 5199 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 5199?

5199 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1733, the product of two primes.

All about 5199

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