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The number 13543

13543 is a composite number with 4 divisors. Its prime factorisation is 29 × 467. Divisors (4): 1, 29, 467, 13543.

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How to work it out

  1. 1

    What is special about 13543: a semiprime: 29 × 467, the product of two primes.

  2. 2

    13543 is composite. Its prime factorisation is

    13543=29×46713543 = 29 \times 467
  3. 3

    The divisors add up to 14040; without 13543 itself that is 497, so 13543 is deficient (497 is less than 13543). Euler's totient φ(13543) = 13048 numbers up to 13543 share no factor with it.

  4. 4

    The digits of 13543 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13543 = 29 \times 467 \]

13543 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14040
Euler totient φ(n)13048
Square183412849
Cube2483960214007
Square root116.374396
Digit sum / digital root16 / 7
Collatz steps to 194
Scientific notation1.3543 × 10410^{4}

13543 in other forms

FormValue
In wordsthirteen thousand five hundred and forty-three
Binary (base 2)11010011100111
Octal (base 8)32347
Hexadecimal (base 16)34E7
Base 3200120121
As time13543 seconds = 3 h 45 min 43 s

Is 13543 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 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.
9No (remainder 7)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 2)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 13543 a prime number?

No. 13543 = 29 × 467, so it is divisible by 29.

What are the factors of 13543?

1, 29, 467, 13543.

What is 13543 in binary?

11010011100111 (hexadecimal 34E7, octal 32347).

What is the square root of 13543?

About 116.3744.

Is 13543 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 13543?

13543 is a semiprime: 29 × 467, the product of two primes.

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