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The number 14129

14129 is a composite number with 4 divisors. Its prime factorisation is 71 × 199. Divisors (4): 1, 71, 199, 14129.

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How to work it out

  1. 1

    What is special about 14129: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 199, the product of two primes.

  2. 2

    14129 is composite. Its prime factorisation is

    14129=71×19914129 = 71 \times 199
  3. 3

    The divisors add up to 14400; without 14129 itself that is 271, so 14129 is deficient (271 is less than 14129). Euler's totient φ(14129) = 13860 numbers up to 14129 share no factor with it.

  4. 4

    The digits of 14129 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14129 = 71 \times 199 \]

14129 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14400
Euler totient φ(n)13860
Square199628641
Cube2820553068689
Square root118.865470
Digit sum / digital root17 / 8
Collatz steps to 1102
Scientific notation1.4129 × 10410^{4}

14129 in other forms

FormValue
In wordsfourteen thousand one hundred and twenty-nine
Binary (base 2)11011100110001
Octal (base 8)33461
Hexadecimal (base 16)3731
Base 3201101022
As time14129 seconds = 3 h 55 min 29 s

Is 14129 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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 5)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 14129 a prime number?

No. 14129 = 71 × 199, so it is divisible by 71.

What are the factors of 14129?

1, 71, 199, 14129.

What is 14129 in binary?

11011100110001 (hexadecimal 3731, octal 33461).

What is the square root of 14129?

About 118.8655.

Is 14129 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 14129?

14129 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 199, the product of two primes.

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    14129: is it prime? Factors, square root, binary, Roman numeral | WordGPT