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The number 13079

13079 is a composite number with 8 divisors. Its prime factorisation is 11 × 29 × 41. Divisors (8): 1, 11, 29, 41, 319, 451, 1189, 13079.

Number

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How to work it out

  1. 1

    13079 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    13079 is composite. Its prime factorisation is

    13079=11×29×4113079 = 11 \times 29 \times 41
  3. 3

    The divisors add up to 15120; without 13079 itself that is 2041, so 13079 is deficient (2041 is less than 13079). Euler's totient φ(13079) = 11200 numbers up to 13079 share no factor with it.

  4. 4

    The digits of 13079 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13079 = 11 \times 29 \times 41 \]

13079 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors15120
Euler totient φ(n)11200
Square171060241
Cube2237296892039
Square root114.363456
Digit sum / digital root20 / 2
Collatz steps to 1169
Scientific notation1.3079 × 10410^{4}

13079 in other forms

FormValue
In wordsthirteen thousand and seventy-nine
Binary (base 2)11001100010111
Octal (base 8)31427
Hexadecimal (base 16)3317
Base 3122221102
As time13079 seconds = 3 h 37 min 59 s

Is 13079 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 4)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 7)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 9)A number is divisible by 10 if the last digit is 0.
11Yes (13079 ÷ 11 = 1189)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 13079 a prime number?

No. 13079 = 11 × 29 × 41, so it is divisible by 11.

What are the factors of 13079?

1, 11, 29, 41, 319, 451, 1189, 13079.

What is 13079 in binary?

11001100010111 (hexadecimal 3317, octal 31427).

What is the square root of 13079?

About 114.3635.

Is 13079 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 13079?

It is a composite number with 8 divisors.

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    13079: is it prime? Factors, square root, binary, Roman numeral | WordGPT