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The number 13133

13133 is a composite number with 4 divisors. Its prime factorisation is 23 × 571. Divisors (4): 1, 23, 571, 13133.

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How to work it out

  1. 1

    What is special about 13133: a semiprime: 23 × 571, the product of two primes.

  2. 2

    13133 is composite. Its prime factorisation is

    13133=23×57113133 = 23 \times 571
  3. 3

    The divisors add up to 13728; without 13133 itself that is 595, so 13133 is deficient (595 is less than 13133). Euler's totient φ(13133) = 12540 numbers up to 13133 share no factor with it.

  4. 4

    The digits of 13133 add up to 11, 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
\[ 13133 = 23 \times 571 \]

13133 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors13728
Euler totient φ(n)12540
Square172475689
Cube2265123223637
Square root114.599302
Digit sum / digital root11 / 2
Collatz steps to 176
Scientific notation1.3133 × 10410^{4}

13133 in other forms

FormValue
In wordsthirteen thousand one hundred and thirty-three
Binary (base 2)11001101001101
Octal (base 8)31515
Hexadecimal (base 16)334D
Base 3200000102
As time13133 seconds = 3 h 38 min 53 s

Is 13133 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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 1)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 5)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 13133 a prime number?

No. 13133 = 23 × 571, so it is divisible by 23.

What are the factors of 13133?

1, 23, 571, 13133.

What is 13133 in binary?

11001101001101 (hexadecimal 334D, octal 31515).

What is the square root of 13133?

About 114.5993.

Is 13133 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 13133?

13133 is a semiprime: 23 × 571, the product of two primes.

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