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The number 13211

13211 is a composite number with 4 divisors. Its prime factorisation is 11 × 1201. Divisors (4): 1, 11, 1201, 13211.

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How to work it out

  1. 1

    What is special about 13211: a semiprime: 11 × 1201, the product of two primes.

  2. 2

    13211 is composite. Its prime factorisation is

    13211=11×120113211 = 11 \times 1201
  3. 3

    The divisors add up to 14424; without 13211 itself that is 1213, so 13211 is deficient (1213 is less than 13211). Euler's totient φ(13211) = 12000 numbers up to 13211 share no factor with it.

  4. 4

    The digits of 13211 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13211 = 11 \times 1201 \]

13211 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14424
Euler totient φ(n)12000
Square174530521
Cube2305722712931
Square root114.939114
Digit sum / digital root8 / 8
Collatz steps to 176
Scientific notation1.3211 × 10410^{4}

13211 in other forms

FormValue
In wordsthirteen thousand two hundred and eleven
Binary (base 2)11001110011011
Octal (base 8)31633
Hexadecimal (base 16)339B
Base 3200010022
As time13211 seconds = 3 h 40 min 11 s

Is 13211 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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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.
11Yes (13211 ÷ 11 = 1201)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 13211 a prime number?

No. 13211 = 11 × 1201, so it is divisible by 11.

What are the factors of 13211?

1, 11, 1201, 13211.

What is 13211 in binary?

11001110011011 (hexadecimal 339B, octal 31633).

What is the square root of 13211?

About 114.9391.

Is 13211 divisible by 3?

No. Its digits add up to 8, which is not a multiple of 3.

What is special about the number 13211?

13211 is a semiprime: 11 × 1201, the product of two primes.

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