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The number 14123

14123 is a composite number with 4 divisors. Its prime factorisation is 29 × 487. Divisors (4): 1, 29, 487, 14123.

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How to work it out

  1. 1

    What is special about 14123: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 487, the product of two primes.

  2. 2

    14123 is composite. Its prime factorisation is

    14123=29×48714123 = 29 \times 487
  3. 3

    The divisors add up to 14640; without 14123 itself that is 517, so 14123 is deficient (517 is less than 14123). Euler's totient φ(14123) = 13608 numbers up to 14123 share no factor with it.

  4. 4

    The digits of 14123 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14123 = 29 \times 487 \]

14123 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14640
Euler totient φ(n)13608
Square199459129
Cube2816961278867
Square root118.840229
Digit sum / digital root11 / 2
Collatz steps to 158
Scientific notation1.4123 × 10410^{4}

14123 in other forms

FormValue
In wordsfourteen thousand one hundred and twenty-three
Binary (base 2)11011100101011
Octal (base 8)33453
Hexadecimal (base 16)372B
Base 3201101002
As time14123 seconds = 3 h 55 min 23 s

Is 14123 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 3)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 4)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14123 a prime number?

No. 14123 = 29 × 487, so it is divisible by 29.

What are the factors of 14123?

1, 29, 487, 14123.

What is 14123 in binary?

11011100101011 (hexadecimal 372B, octal 33453).

What is the square root of 14123?

About 118.8402.

Is 14123 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 14123?

14123 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 487, the product of two primes.

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    14123: is it prime? Factors, square root, binary, Roman numeral | WordGPT