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The number 14108

14108 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 3527. Divisors (6): 1, 2, 4, 3527, 7054, 14108.

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How to work it out

  1. 1

    What is special about 14108: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    14108 is composite. Its prime factorisation is

    14108=22×352714108 = 2^{2} \times 3527
  3. 3

    The divisors add up to 24696; without 14108 itself that is 10588, so 14108 is deficient (10588 is less than 14108). Euler's totient φ(14108) = 7052 numbers up to 14108 share no factor with it.

  4. 4

    The digits of 14108 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 58 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14108 = 2^{2} \times 3527 \]

14108 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors24696
Euler totient φ(n)7052
Square199035664
Cube2807995147712
Square root118.777102 (= 2√3527)
Digit sum / digital root14 / 5
Collatz steps to 158
Scientific notation1.4108 × 10410^{4}

14108 in other forms

FormValue
In wordsfourteen thousand one hundred and eight
Binary (base 2)11011100011100
Octal (base 8)33434
Hexadecimal (base 16)371C
Base 3201100112
As time14108 seconds = 3 h 55 min 8 s

Is 14108 divisible by 2 to 12?

DivisorAnswerRule
2Yes (14108 ÷ 2 = 7054)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.
4Yes (14108 ÷ 4 = 3527)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 4)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14108 a prime number?

No. 14108 = 222^{2} × 3527, so it is divisible by 2.

What are the factors of 14108?

1, 2, 4, 3527, 7054, 14108.

What is 14108 in binary?

11011100011100 (hexadecimal 371C, octal 33434).

What is the square root of 14108?

About 118.7771, exactly 2√3527.

Is 14108 divisible by 3?

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

What is special about the number 14108?

14108 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    14108: is it prime? Factors, square root, binary, Roman numeral | WordGPT