WordGPT

The number 13373

13373 is a composite number with 4 divisors. Its prime factorisation is 43 × 311. Divisors (4): 1, 43, 311, 13373.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 13373: a semiprime: 43 × 311, the product of two primes.

  2. 2

    13373 is composite. Its prime factorisation is

    13373=43×31113373 = 43 \times 311
  3. 3

    The divisors add up to 13728; without 13373 itself that is 355, so 13373 is deficient (355 is less than 13373). Euler's totient φ(13373) = 13020 numbers up to 13373 share no factor with it.

  4. 4

    The digits of 13373 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13373 = 43 \times 311 \]

13373 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors13728
Euler totient φ(n)13020
Square178837129
Cube2391588926117
Square root115.641688
Digit sum / digital root17 / 8
Collatz steps to 145
Scientific notation1.3373 × 10410^{4}

13373 in other forms

FormValue
In wordsthirteen thousand three hundred and seventy-three
Binary (base 2)11010000111101
Octal (base 8)32075
Hexadecimal (base 16)343D
Base 3200100022
As time13373 seconds = 3 h 42 min 53 s

Is 13373 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 3)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 8)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 8)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 13373 a prime number?

No. 13373 = 43 × 311, so it is divisible by 43.

What are the factors of 13373?

1, 43, 311, 13373.

What is 13373 in binary?

11010000111101 (hexadecimal 343D, octal 32075).

What is the square root of 13373?

About 115.6417.

Is 13373 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 13373?

13373 is a semiprime: 43 × 311, the product of two primes.

Find the next one

Nearby numbers

    13373: is it prime? Factors, square root, binary, Roman numeral | WordGPT