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The number 14139

14139 is a binary palindrome (11011100111011). Its prime factorisation is 323^{2} × 1571. Divisors (6): 1, 3, 9, 1571, 4713, 14139.

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How to work it out

  1. 1

    What is special about 14139: a binary palindrome (11011100111011).

  2. 2

    14139 is composite. Its prime factorisation is

    14139=32×157114139 = 3^{2} \times 1571
  3. 3

    The divisors add up to 20436; without 14139 itself that is 6297, so 14139 is deficient (6297 is less than 14139). Euler's totient φ(14139) = 9420 numbers up to 14139 share no factor with it.

  4. 4

    The digits of 14139 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14139 = 3^{2} \times 1571 \]

14139 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors20436
Euler totient φ(n)9420
Square199911321
Cube2826546167619
Square root118.907527 (= 3√1571)
Digit sum / digital root18 / 9
Collatz steps to 1102
Scientific notation1.4139 × 10410^{4}

14139 in other forms

FormValue
In wordsfourteen thousand one hundred and thirty-nine
Binary (base 2)11011100111011
Octal (base 8)33473
Hexadecimal (base 16)373B
Base 3201101200
As time14139 seconds = 3 h 55 min 39 s

Is 14139 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 (14139 ÷ 3 = 4713)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 4)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 6)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.
9Yes (14139 ÷ 9 = 1571)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 4)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 14139 a prime number?

No. 14139 = 323^{2} × 1571, so it is divisible by 3.

What are the factors of 14139?

1, 3, 9, 1571, 4713, 14139.

What is 14139 in binary?

11011100111011 (hexadecimal 373B, octal 33473).

What is the square root of 14139?

About 118.9075, exactly 3√1571.

Is 14139 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 14139?

14139 is a binary palindrome (11011100111011).

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    14139: is it prime? Factors, square root, binary, Roman numeral | WordGPT