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The number 14031

14031 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 1559. Divisors (6): 1, 3, 9, 1559, 4677, 14031.

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How to work it out

  1. 1

    What is special about 14031: a Harshad number: divisible by its digit sum 9.

  2. 2

    14031 is composite. Its prime factorisation is

    14031=32×155914031 = 3^{2} \times 1559
  3. 3

    The divisors add up to 20280; without 14031 itself that is 6249, so 14031 is deficient (6249 is less than 14031). Euler's totient φ(14031) = 9348 numbers up to 14031 share no factor with it.

  4. 4

    The digits of 14031 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 182 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14031 = 3^{2} \times 1559 \]

14031 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors20280
Euler totient φ(n)9348
Square196868961
Cube2762268391791
Square root118.452522 (= 3√1559)
Digit sum / digital root9 / 9
Collatz steps to 1182
Scientific notation1.4031 × 10410^{4}

14031 in other forms

FormValue
In wordsfourteen thousand and thirty-one
Binary (base 2)11011011001111
Octal (base 8)33317
Hexadecimal (base 16)36CF
Base 3201020200
As time14031 seconds = 3 h 53 min 51 s

Is 14031 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 (14031 ÷ 3 = 4677)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 1)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (14031 ÷ 9 = 1559)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14031 a prime number?

No. 14031 = 323^{2} × 1559, so it is divisible by 3.

What are the factors of 14031?

1, 3, 9, 1559, 4677, 14031.

What is 14031 in binary?

11011011001111 (hexadecimal 36CF, octal 33317).

What is the square root of 14031?

About 118.4525, exactly 3√1559.

Is 14031 divisible by 3?

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

What is special about the number 14031?

14031 is a Harshad number: divisible by its digit sum 9.

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    14031: is it prime? Factors, square root, binary, Roman numeral | WordGPT