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The number 13295

13295 is a composite number with 4 divisors. Its prime factorisation is 5 × 2659. Divisors (4): 1, 5, 2659, 13295.

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How to work it out

  1. 1

    What is special about 13295: a semiprime: 5 × 2659, the product of two primes.

  2. 2

    13295 is composite. Its prime factorisation is

    13295=5×265913295 = 5 \times 2659
  3. 3

    The divisors add up to 15960; without 13295 itself that is 2665, so 13295 is deficient (2665 is less than 13295). Euler's totient φ(13295) = 10632 numbers up to 13295 share no factor with it.

  4. 4

    The digits of 13295 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 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13295 = 5 \times 2659 \]

13295 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors15960
Euler totient φ(n)10632
Square176757025
Cube2349984647375
Square root115.303946
Digit sum / digital root20 / 2
Collatz steps to 176
Scientific notation1.3295 × 10410^{4}

13295 in other forms

FormValue
In wordsthirteen thousand two hundred and ninety-five
Binary (base 2)11001111101111
Octal (base 8)31757
Hexadecimal (base 16)33EF
Base 3200020102
As time13295 seconds = 3 h 41 min 35 s

Is 13295 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (13295 ÷ 5 = 2659)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 2)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 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 13295 a prime number?

No. 13295 = 5 × 2659, so it is divisible by 5.

What are the factors of 13295?

1, 5, 2659, 13295.

What is 13295 in binary?

11001111101111 (hexadecimal 33EF, octal 31757).

What is the square root of 13295?

About 115.3039.

Is 13295 divisible by 3?

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

What is special about the number 13295?

13295 is a semiprime: 5 × 2659, the product of two primes.

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