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The number 14103

14103 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 1567. Divisors (6): 1, 3, 9, 1567, 4701, 14103.

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How to work it out

  1. 1

    What is special about 14103: a Harshad number: divisible by its digit sum 9.

  2. 2

    14103 is composite. Its prime factorisation is

    14103=32×156714103 = 3^{2} \times 1567
  3. 3

    The divisors add up to 20384; without 14103 itself that is 6281, so 14103 is deficient (6281 is less than 14103). Euler's totient φ(14103) = 9396 numbers up to 14103 share no factor with it.

  4. 4

    The digits of 14103 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14103 = 3^{2} \times 1567 \]

14103 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors20384
Euler totient φ(n)9396
Square198894609
Cube2805010670727
Square root118.756052 (= 3√1567)
Digit sum / digital root9 / 9
Collatz steps to 158
Scientific notation1.4103 × 10410^{4}

14103 in other forms

FormValue
In wordsfourteen thousand one hundred and three
Binary (base 2)11011100010111
Octal (base 8)33427
Hexadecimal (base 16)3717
Base 3201100100
As time14103 seconds = 3 h 55 min 3 s

Is 14103 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).
3Yes (14103 ÷ 3 = 4701)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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.
9Yes (14103 ÷ 9 = 1567)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14103 a prime number?

No. 14103 = 323^{2} × 1567, so it is divisible by 3.

What are the factors of 14103?

1, 3, 9, 1567, 4701, 14103.

What is 14103 in binary?

11011100010111 (hexadecimal 3717, octal 33427).

What is the square root of 14103?

About 118.7561, exactly 3√1567.

Is 14103 divisible by 3?

Yes. Its digits add up to 9, a multiple of 3.

What is special about the number 14103?

14103 is a Harshad number: divisible by its digit sum 9.

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    14103: is it prime? Factors, square root, binary, Roman numeral | WordGPT