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The number 14161

14161 is a perfect square (119²). Its prime factorisation is 727^{2} × 17217^{2}. Divisors (9): 1, 7, 17, 49, 119, 289, 833, 2023, 14161.

Number

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How to work it out

  1. 1

    What is special about 14161: a perfect square (119²).

  2. 2

    14161 is composite. Its prime factorisation is

    14161=72×17214161 = 7^{2} \times 17^{2}
  3. 3

    The divisors add up to 17499; without 14161 itself that is 3338, so 14161 is deficient (3338 is less than 14161). Euler's totient φ(14161) = 11424 numbers up to 14161 share no factor with it.

  4. 4

    The digits of 14161 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14161 = 7^{2} \times 17^{2} \]

14161 at a glance

PropertyValue
Typecomposite
Number of divisors9
Sum of divisors17499
Euler totient φ(n)11424
Square200533921
Cube2839760855281
Square root119
Digit sum / digital root13 / 4
Collatz steps to 158
Scientific notation1.4161 × 10410^{4}
Perfect power1192119^{2}

14161 in other forms

FormValue
In wordsfourteen thousand one hundred and sixty-one
Binary (base 2)11011101010001
Octal (base 8)33521
Hexadecimal (base 16)3751
Base 3201102111
As time14161 seconds = 3 h 56 min 1 s

Is 14161 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 1)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (14161 ÷ 7 = 2023)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14161 a prime number?

No. 14161 = 727^{2} × 17217^{2}, so it is divisible by 7.

What are the factors of 14161?

1, 7, 17, 49, 119, 289, 833, 2023, 14161.

What is 14161 in binary?

11011101010001 (hexadecimal 3751, octal 33521).

What is the square root of 14161?

119, because 119 × 119 = 14161.

Is 14161 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 14161?

14161 is a perfect square (119²).

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    14161: is it prime? Factors, square root, binary, Roman numeral | WordGPT