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The number 13493

13493 is a composite number with 4 divisors. Its prime factorisation is 103 × 131. Divisors (4): 1, 103, 131, 13493.

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How to work it out

  1. 1

    What is special about 13493: a semiprime: 103 × 131, the product of two primes.

  2. 2

    13493 is composite. Its prime factorisation is

    13493=103×13113493 = 103 \times 131
  3. 3

    The divisors add up to 13728; without 13493 itself that is 235, so 13493 is deficient (235 is less than 13493). Euler's totient φ(13493) = 13260 numbers up to 13493 share no factor with it.

  4. 4

    The digits of 13493 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13493 = 103 \times 131 \]

13493 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors13728
Euler totient φ(n)13260
Square182061049
Cube2456549734157
Square root116.159373
Digit sum / digital root20 / 2
Collatz steps to 145
Scientific notation1.3493 × 10410^{4}

13493 in other forms

FormValue
In wordsthirteen thousand four hundred and ninety-three
Binary (base 2)11010010110101
Octal (base 8)32265
Hexadecimal (base 16)34B5
Base 3200111202
As time13493 seconds = 3 h 44 min 53 s

Is 13493 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 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 13493 a prime number?

No. 13493 = 103 × 131, so it is divisible by 103.

What are the factors of 13493?

1, 103, 131, 13493.

What is 13493 in binary?

11010010110101 (hexadecimal 34B5, octal 32265).

What is the square root of 13493?

About 116.1594.

Is 13493 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 13493?

13493 is a semiprime: 103 × 131, the product of two primes.

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