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The number 29809

29809 is a composite number with 4 divisors. Its prime factorisation is 13 × 2293. Divisors (4): 1, 13, 2293, 29809.

Number

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How to work it out

  1. 1

    What is special about 29809: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 2293, the product of two primes.

  2. 2

    29809 is composite. Its prime factorisation is

    29809=13×229329809 = 13 \times 2293
  3. 3

    The divisors add up to 32116; without 29809 itself that is 2307, so 29809 is deficient (2307 is less than 29809). Euler's totient φ(29809) = 27504 numbers up to 29809 share no factor with it.

  4. 4

    The digits of 29809 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.

LaTeX source of the formulas on this page
\[ 29809 = 13 \times 2293 \]

29809 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors32116
Euler totient φ(n)27504
Square888576481
Cube26487576322129
Square root172.652831
Digit sum / digital root28 / 1
Collatz steps to 141
Scientific notation2.9809 × 10410^{4}

29809 in other forms

FormValue
In wordstwenty-nine thousand eight hundred and nine
Binary (base 2)111010001110001
Octal (base 8)72161
Hexadecimal (base 16)7471
Base 31111220001
As time29809 seconds = 8 h 16 min 49 s

Is 29809 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 1)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 10)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 29809 a prime number?

No. 29809 = 13 × 2293, so it is divisible by 13.

What are the factors of 29809?

1, 13, 2293, 29809.

What is 29809 in binary?

111010001110001 (hexadecimal 7471, octal 72161).

What is the square root of 29809?

About 172.6528.

Is 29809 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 29809?

29809 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 2293, the product of two primes.

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    29809: is it prime? Factors, square root, binary, Roman numeral | WordGPT