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The number 13271

13271 is a composite number with 4 divisors. Its prime factorisation is 23 × 577. Divisors (4): 1, 23, 577, 13271.

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How to work it out

  1. 1

    What is special about 13271: a semiprime: 23 × 577, the product of two primes.

  2. 2

    13271 is composite. Its prime factorisation is

    13271=23×57713271 = 23 \times 577
  3. 3

    The divisors add up to 13872; without 13271 itself that is 601, so 13271 is deficient (601 is less than 13271). Euler's totient φ(13271) = 12672 numbers up to 13271 share no factor with it.

  4. 4

    The digits of 13271 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13271 = 23 \times 577 \]

13271 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors13872
Euler totient φ(n)12672
Square176119441
Cube2337281101511
Square root115.199826
Digit sum / digital root14 / 5
Collatz steps to 176
Scientific notation1.3271 × 10410^{4}

13271 in other forms

FormValue
In wordsthirteen thousand two hundred and seventy-one
Binary (base 2)11001111010111
Octal (base 8)31727
Hexadecimal (base 16)33D7
Base 3200012112
As time13271 seconds = 3 h 41 min 11 s

Is 13271 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.
5No (remainder 1)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 6)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 13271 a prime number?

No. 13271 = 23 × 577, so it is divisible by 23.

What are the factors of 13271?

1, 23, 577, 13271.

What is 13271 in binary?

11001111010111 (hexadecimal 33D7, octal 31727).

What is the square root of 13271?

About 115.1998.

Is 13271 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 13271?

13271 is a semiprime: 23 × 577, the product of two primes.

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