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The number 16119

16119 is a composite number with 10 divisors. Its prime factorisation is 343^{4} × 199. Divisors (10): 1, 3, 9, 27, 81, 199, 597, 1791, 5373, 16119.

Number

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How to work it out

  1. 1

    16119 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    16119 is composite. Its prime factorisation is

    16119=34×19916119 = 3^{4} \times 199
  3. 3

    The divisors add up to 24200; without 16119 itself that is 8081, so 16119 is deficient (8081 is less than 16119). Euler's totient φ(16119) = 10692 numbers up to 16119 share no factor with it.

  4. 4

    The digits of 16119 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16119 = 3^{4} \times 199 \]

16119 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors24200
Euler totient φ(n)10692
Square259822161
Cube4188073413159
Square root126.960624 (= 9√199)
Digit sum / digital root18 / 9
Collatz steps to 153
Scientific notation1.6119 × 10410^{4}

16119 in other forms

FormValue
In wordssixteen thousand one hundred and nineteen
Binary (base 2)11111011110111
Octal (base 8)37367
Hexadecimal (base 16)3EF7
Base 3211010000
As time16119 seconds = 4 h 28 min 39 s

Is 16119 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 (16119 ÷ 3 = 5373)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.
9Yes (16119 ÷ 9 = 1791)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 4)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 16119 a prime number?

No. 16119 = 343^{4} × 199, so it is divisible by 3.

What are the factors of 16119?

1, 3, 9, 27, 81, 199, 597, 1791, 5373, 16119.

What is 16119 in binary?

11111011110111 (hexadecimal 3EF7, octal 37367).

What is the square root of 16119?

About 126.9606, exactly 9√199.

Is 16119 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 16119?

It is a composite number with 10 divisors.

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    16119: is it prime? Factors, square root, binary, Roman numeral | WordGPT