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The number 13379

13379 is a composite number with 4 divisors. Its prime factorisation is 17 × 787. Divisors (4): 1, 17, 787, 13379.

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How to work it out

  1. 1

    What is special about 13379: a semiprime: 17 × 787, the product of two primes.

  2. 2

    13379 is composite. Its prime factorisation is

    13379=17×78713379 = 17 \times 787
  3. 3

    The divisors add up to 14184; without 13379 itself that is 805, so 13379 is deficient (805 is less than 13379). Euler's totient φ(13379) = 12576 numbers up to 13379 share no factor with it.

  4. 4

    The digits of 13379 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13379 = 17 \times 787 \]

13379 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14184
Euler totient φ(n)12576
Square178997641
Cube2394809438939
Square root115.667627
Digit sum / digital root23 / 5
Collatz steps to 145
Scientific notation1.3379 × 10410^{4}

13379 in other forms

FormValue
In wordsthirteen thousand three hundred and seventy-nine
Binary (base 2)11010001000011
Octal (base 8)32103
Hexadecimal (base 16)3443
Base 3200100112
As time13379 seconds = 3 h 42 min 59 s

Is 13379 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 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 5)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.
11No (remainder 3)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 13379 a prime number?

No. 13379 = 17 × 787, so it is divisible by 17.

What are the factors of 13379?

1, 17, 787, 13379.

What is 13379 in binary?

11010001000011 (hexadecimal 3443, octal 32103).

What is the square root of 13379?

About 115.6676.

Is 13379 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 13379?

13379 is a semiprime: 17 × 787, the product of two primes.

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