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The number 13655

13655 is a composite number with 4 divisors. Its prime factorisation is 5 × 2731. Divisors (4): 1, 5, 2731, 13655.

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How to work it out

  1. 1

    What is special about 13655: a semiprime: 5 × 2731, the product of two primes.

  2. 2

    13655 is composite. Its prime factorisation is

    13655=5×273113655 = 5 \times 2731
  3. 3

    The divisors add up to 16392; without 13655 itself that is 2737, so 13655 is deficient (2737 is less than 13655). Euler's totient φ(13655) = 10920 numbers up to 13655 share no factor with it.

  4. 4

    The digits of 13655 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 182 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13655 = 5 \times 2731 \]

13655 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors16392
Euler totient φ(n)10920
Square186459025
Cube2546097986375
Square root116.854611
Digit sum / digital root20 / 2
Collatz steps to 1182
Scientific notation1.3655 × 10410^{4}

13655 in other forms

FormValue
In wordsthirteen thousand six hundred and fifty-five
Binary (base 2)11010101010111
Octal (base 8)32527
Hexadecimal (base 16)3557
Base 3200201202
As time13655 seconds = 3 h 47 min 35 s

Is 13655 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 (13655 ÷ 5 = 2731)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 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 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 4)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 13655 a prime number?

No. 13655 = 5 × 2731, so it is divisible by 5.

What are the factors of 13655?

1, 5, 2731, 13655.

What is 13655 in binary?

11010101010111 (hexadecimal 3557, octal 32527).

What is the square root of 13655?

About 116.8546.

Is 13655 divisible by 3?

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

What is special about the number 13655?

13655 is a semiprime: 5 × 2731, the product of two primes.

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