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The number 13273

13273 is a composite number with 4 divisors. Its prime factorisation is 13 × 1021. Divisors (4): 1, 13, 1021, 13273.

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How to work it out

  1. 1

    What is special about 13273: a semiprime: 13 × 1021, the product of two primes.

  2. 2

    13273 is composite. Its prime factorisation is

    13273=13×102113273 = 13 \times 1021
  3. 3

    The divisors add up to 14308; without 13273 itself that is 1035, so 13273 is deficient (1035 is less than 13273). Euler's totient φ(13273) = 12240 numbers up to 13273 share no factor with it.

  4. 4

    The digits of 13273 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13273 = 13 \times 1021 \]

13273 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14308
Euler totient φ(n)12240
Square176172529
Cube2338337977417
Square root115.208507
Digit sum / digital root16 / 7
Collatz steps to 194
Scientific notation1.3273 × 10410^{4}

13273 in other forms

FormValue
In wordsthirteen thousand two hundred and seventy-three
Binary (base 2)11001111011001
Octal (base 8)31731
Hexadecimal (base 16)33D9
Base 3200012121
As time13273 seconds = 3 h 41 min 13 s

Is 13273 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 1)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 1)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 13273 a prime number?

No. 13273 = 13 × 1021, so it is divisible by 13.

What are the factors of 13273?

1, 13, 1021, 13273.

What is 13273 in binary?

11001111011001 (hexadecimal 33D9, octal 31731).

What is the square root of 13273?

About 115.2085.

Is 13273 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 13273?

13273 is a semiprime: 13 × 1021, the product of two primes.

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