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The number 79989

79989 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 13 × 293. Divisors (16): 1, 3, 7, 13, 21, 39, 91, 273, 293, 879, 2051, 3809, 6153, 11427, 26663, 79989.

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How to work it out

  1. 1

    What is special about 79989: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    79989 is composite. Its prime factorisation is

    79989=3×7×13×29379989 = 3 \times 7 \times 13 \times 293
  3. 3

    The divisors add up to 131712; without 79989 itself that is 51723, so 79989 is deficient (51723 is less than 79989). Euler's totient φ(79989) = 42048 numbers up to 79989 share no factor with it.

  4. 4

    The digits of 79989 add up to 42, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 79989 = 3 \times 7 \times 13 \times 293 \]

79989 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors131712
Euler totient φ(n)42048
Square6398240121
Cube511788829038669
Square root282.823266
Digit sum / digital root42 / 6
Collatz steps to 194
Scientific notation7.9989 × 10410^{4}

79989 in other forms

FormValue
In wordsseventy-nine thousand nine hundred and eighty-nine
Binary (base 2)10011100001110101
Octal (base 8)234165
Hexadecimal (base 16)13875
Base 311001201120
As time79989 seconds = 22 h 13 min 9 s

Is 79989 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).
3Yes (79989 ÷ 3 = 26663)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (79989 ÷ 7 = 11427)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 6)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 79989 a prime number?

No. 79989 = 3 × 7 × 13 × 293, so it is divisible by 3.

What are the factors of 79989?

1, 3, 7, 13, 21, 39, 91, 273, 293, 879, 2051, 3809, 6153, 11427, 26663, 79989.

What is 79989 in binary?

10011100001110101 (hexadecimal 13875, octal 234165).

What is the square root of 79989?

About 282.8233.

Is 79989 divisible by 3?

Yes. Its digits add up to 42, a multiple of 3.

What is special about the number 79989?

79989 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    79989: is it prime? Factors, square root, binary, Roman numeral | WordGPT