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The number 14743

14743 is a composite number with 4 divisors. Its prime factorisation is 23 × 641. Divisors (4): 1, 23, 641, 14743.

Number

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How to work it out

  1. 1

    What is special about 14743: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 641, the product of two primes.

  2. 2

    14743 is composite. Its prime factorisation is

    14743=23×64114743 = 23 \times 641
  3. 3

    The divisors add up to 15408; without 14743 itself that is 665, so 14743 is deficient (665 is less than 14743). Euler's totient φ(14743) = 14080 numbers up to 14743 share no factor with it.

  4. 4

    The digits of 14743 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14743 = 23 \times 641 \]

14743 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors15408
Euler totient φ(n)14080
Square217356049
Cube3204480230407
Square root121.420756
Digit sum / digital root19 / 1
Collatz steps to 145
Scientific notation1.4743 × 10410^{4}

14743 in other forms

FormValue
In wordsfourteen thousand seven hundred and forty-three
Binary (base 2)11100110010111
Octal (base 8)34627
Hexadecimal (base 16)3997
Base 3202020001
As time14743 seconds = 4 h 5 min 43 s

Is 14743 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 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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14743 a prime number?

No. 14743 = 23 × 641, so it is divisible by 23.

What are the factors of 14743?

1, 23, 641, 14743.

What is 14743 in binary?

11100110010111 (hexadecimal 3997, octal 34627).

What is the square root of 14743?

About 121.4208.

Is 14743 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 14743?

14743 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 641, the product of two primes.

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    14743: is it prime? Factors, square root, binary, Roman numeral | WordGPT