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The number 16169

16169 is a composite number with 8 divisors. Its prime factorisation is 19 × 23 × 37. Divisors (8): 1, 19, 23, 37, 437, 703, 851, 16169.

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How to work it out

  1. 1

    What is special about 16169: a Harshad number: divisible by its digit sum 23.

  2. 2

    16169 is composite. Its prime factorisation is

    16169=19×23×3716169 = 19 \times 23 \times 37
  3. 3

    The divisors add up to 18240; without 16169 itself that is 2071, so 16169 is deficient (2071 is less than 16169). Euler's totient φ(16169) = 14256 numbers up to 16169 share no factor with it.

  4. 4

    The digits of 16169 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16169 = 19 \times 23 \times 37 \]

16169 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors18240
Euler totient φ(n)14256
Square261436561
Cube4227167754809
Square root127.157383
Digit sum / digital root23 / 5
Collatz steps to 1146
Scientific notation1.6169 × 10410^{4}

16169 in other forms

FormValue
In wordssixteen thousand one hundred and sixty-nine
Binary (base 2)11111100101001
Octal (base 8)37451
Hexadecimal (base 16)3F29
Base 3211011212
As time16169 seconds = 4 h 29 min 29 s

Is 16169 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 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 6)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 1)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.
11No (remainder 10)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 16169 a prime number?

No. 16169 = 19 × 23 × 37, so it is divisible by 19.

What are the factors of 16169?

1, 19, 23, 37, 437, 703, 851, 16169.

What is 16169 in binary?

11111100101001 (hexadecimal 3F29, octal 37451).

What is the square root of 16169?

About 127.1574.

Is 16169 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 16169?

16169 is a Harshad number: divisible by its digit sum 23.

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    16169: is it prime? Factors, square root, binary, Roman numeral | WordGPT