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The number 78829

78829 is a composite number with 4 divisors. Its prime factorisation is 17 × 4637. Divisors (4): 1, 17, 4637, 78829.

Number

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How to work it out

  1. 1

    What is special about 78829: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 4637, the product of two primes.

  2. 2

    78829 is composite. Its prime factorisation is

    78829=17×463778829 = 17 \times 4637
  3. 3

    The divisors add up to 83484; without 78829 itself that is 4655, so 78829 is deficient (4655 is less than 78829). Euler's totient φ(78829) = 74176 numbers up to 78829 share no factor with it.

  4. 4

    The digits of 78829 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.

LaTeX source of the formulas on this page
\[ 78829 = 17 \times 4637 \]

78829 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors83484
Euler totient φ(n)74176
Square6214011241
Cube489844292116789
Square root280.765026
Digit sum / digital root34 / 7
Collatz steps to 1200
Scientific notation7.8829 × 10410^{4}

78829 in other forms

FormValue
In wordsseventy-eight thousand eight hundred and twenty-nine
Binary (base 2)10011001111101101
Octal (base 8)231755
Hexadecimal (base 16)133ED
Base 311000010121
As time78829 seconds = 21 h 53 min 49 s

Is 78829 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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 78829 a prime number?

No. 78829 = 17 × 4637, so it is divisible by 17.

What are the factors of 78829?

1, 17, 4637, 78829.

What is 78829 in binary?

10011001111101101 (hexadecimal 133ED, octal 231755).

What is the square root of 78829?

About 280.7650.

Is 78829 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 78829?

78829 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 4637, the product of two primes.

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