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The number 13438

13438 is a composite number with 4 divisors. Its prime factorisation is 2 × 6719. Divisors (4): 1, 2, 6719, 13438.

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How to work it out

  1. 1

    What is special about 13438: a semiprime: 2 × 6719, the product of two primes.

  2. 2

    13438 is composite. Its prime factorisation is

    13438=2×671913438 = 2 \times 6719
  3. 3

    The divisors add up to 20160; without 13438 itself that is 6722, so 13438 is deficient (6722 is less than 13438). Euler's totient φ(13438) = 6718 numbers up to 13438 share no factor with it.

  4. 4

    The digits of 13438 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13438 = 2 \times 6719 \]

13438 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors20160
Euler totient φ(n)6718
Square180579844
Cube2426631943672
Square root115.922388
Digit sum / digital root19 / 1
Collatz steps to 1138
Scientific notation1.3438 × 10410^{4}

13438 in other forms

FormValue
In wordsthirteen thousand four hundred and thirty-eight
Binary (base 2)11010001111110
Octal (base 8)32176
Hexadecimal (base 16)347E
Base 3200102201
As time13438 seconds = 3 h 43 min 58 s

Is 13438 divisible by 2 to 12?

DivisorAnswerRule
2Yes (13438 ÷ 2 = 6719)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 2)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 13438 a prime number?

No. 13438 = 2 × 6719, so it is divisible by 2.

What are the factors of 13438?

1, 2, 6719, 13438.

What is 13438 in binary?

11010001111110 (hexadecimal 347E, octal 32176).

What is the square root of 13438?

About 115.9224.

Is 13438 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 13438?

13438 is a semiprime: 2 × 6719, the product of two primes.

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