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The number 13429

13429 is a composite number with 4 divisors. Its prime factorisation is 13 × 1033. Divisors (4): 1, 13, 1033, 13429.

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How to work it out

  1. 1

    What is special about 13429: a semiprime: 13 × 1033, the product of two primes.

  2. 2

    13429 is composite. Its prime factorisation is

    13429=13×103313429 = 13 \times 1033
  3. 3

    The divisors add up to 14476; without 13429 itself that is 1047, so 13429 is deficient (1047 is less than 13429). Euler's totient φ(13429) = 12384 numbers up to 13429 share no factor with it.

  4. 4

    The digits of 13429 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 89 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13429 = 13 \times 1033 \]

13429 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14476
Euler totient φ(n)12384
Square180338041
Cube2421759552589
Square root115.883562
Digit sum / digital root19 / 1
Collatz steps to 189
Scientific notation1.3429 × 10410^{4}

13429 in other forms

FormValue
In wordsthirteen thousand four hundred and twenty-nine
Binary (base 2)11010001110101
Octal (base 8)32165
Hexadecimal (base 16)3475
Base 3200102101
As time13429 seconds = 3 h 43 min 49 s

Is 13429 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 4)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 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 1)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 9)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 13429 a prime number?

No. 13429 = 13 × 1033, so it is divisible by 13.

What are the factors of 13429?

1, 13, 1033, 13429.

What is 13429 in binary?

11010001110101 (hexadecimal 3475, octal 32165).

What is the square root of 13429?

About 115.8836.

Is 13429 divisible by 3?

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

What is special about the number 13429?

13429 is a semiprime: 13 × 1033, the product of two primes.

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    13429: is it prime? Factors, square root, binary, Roman numeral | WordGPT