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The number 13466

13466 is a composite number with 4 divisors. Its prime factorisation is 2 × 6733. Divisors (4): 1, 2, 6733, 13466.

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How to work it out

  1. 1

    What is special about 13466: a semiprime: 2 × 6733, the product of two primes.

  2. 2

    13466 is composite. Its prime factorisation is

    13466=2×673313466 = 2 \times 6733
  3. 3

    The divisors add up to 20202; without 13466 itself that is 6736, so 13466 is deficient (6736 is less than 13466). Euler's totient φ(13466) = 6732 numbers up to 13466 share no factor with it.

  4. 4

    The digits of 13466 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
\[ 13466 = 2 \times 6733 \]

13466 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors20202
Euler totient φ(n)6732
Square181333156
Cube2441832278696
Square root116.043095
Digit sum / digital root20 / 2
Collatz steps to 145
Scientific notation1.3466 × 10410^{4}

13466 in other forms

FormValue
In wordsthirteen thousand four hundred and sixty-six
Binary (base 2)11010010011010
Octal (base 8)32232
Hexadecimal (base 16)349A
Base 3200110202
As time13466 seconds = 3 h 44 min 26 s

Is 13466 divisible by 2 to 12?

DivisorAnswerRule
2Yes (13466 ÷ 2 = 6733)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 2)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 2)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 2)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 6)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 13466 a prime number?

No. 13466 = 2 × 6733, so it is divisible by 2.

What are the factors of 13466?

1, 2, 6733, 13466.

What is 13466 in binary?

11010010011010 (hexadecimal 349A, octal 32232).

What is the square root of 13466?

About 116.0431.

Is 13466 divisible by 3?

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

What is special about the number 13466?

13466 is a semiprime: 2 × 6733, the product of two primes.

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