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The number 16133

16133 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 73. Divisors (8): 1, 13, 17, 73, 221, 949, 1241, 16133.

Number

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How to work it out

  1. 1

    16133 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

    16133 is composite. Its prime factorisation is

    16133=13×17×7316133 = 13 \times 17 \times 73
  3. 3

    The divisors add up to 18648; without 16133 itself that is 2515, so 16133 is deficient (2515 is less than 16133). Euler's totient φ(16133) = 13824 numbers up to 16133 share no factor with it.

  4. 4

    The digits of 16133 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16133 = 13 \times 17 \times 73 \]

16133 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors18648
Euler totient φ(n)13824
Square260273689
Cube4198995424637
Square root127.015747
Digit sum / digital root14 / 5
Collatz steps to 171
Scientific notation1.6133 × 10410^{4}

16133 in other forms

FormValue
In wordssixteen thousand one hundred and thirty-three
Binary (base 2)11111100000101
Octal (base 8)37405
Hexadecimal (base 16)3F05
Base 3211010112
As time16133 seconds = 4 h 28 min 53 s

Is 16133 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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 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 5)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 3)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 16133 a prime number?

No. 16133 = 13 × 17 × 73, so it is divisible by 13.

What are the factors of 16133?

1, 13, 17, 73, 221, 949, 1241, 16133.

What is 16133 in binary?

11111100000101 (hexadecimal 3F05, octal 37405).

What is the square root of 16133?

About 127.0157.

Is 16133 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 16133?

It is a composite number with 8 divisors.

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    16133: is it prime? Factors, square root, binary, Roman numeral | WordGPT