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The number 82979

82979 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 491. Divisors (6): 1, 13, 169, 491, 6383, 82979.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    82979 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    82979 is composite. Its prime factorisation is

    82979=132Ɨ49182979 = 13^{2} \times 491
  3. 3

    The divisors add up to 90036; without 82979 itself that is 7057, so 82979 is deficient (7057 is less than 82979). Euler's totient φ(82979) = 76440 numbers up to 82979 share no factor with it.

  4. 4

    The digits of 82979 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 82979 = 13^{2} \times 491 \]

82979 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors90036
Euler totient φ(n)76440
Square6885514441
Cube571353102799739
Square root288.060757 (= 13√491)
Digit sum / digital root35 / 8
Collatz steps to 145
Scientific notation8.2979 Ɨ 10410^{4}

82979 in other forms

FormValue
In wordseighty-two thousand nine hundred and seventy-nine
Binary (base 2)10100010000100011
Octal (base 8)242043
Hexadecimal (base 16)14423
Base 311012211022
As time82979 seconds = 23 h 2 min 59 s

Is 82979 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 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 82979 a prime number?

No. 82979 = 13213^{2} Ɨ 491, so it is divisible by 13.

What are the factors of 82979?

1, 13, 169, 491, 6383, 82979.

What is 82979 in binary?

10100010000100011 (hexadecimal 14423, octal 242043).

What is the square root of 82979?

About 288.0608, exactly 13√491.

Is 82979 divisible by 3?

No. Its digits add up to 35, which is not a multiple of 3.

What is special about the number 82979?

It is a composite number with 6 divisors.

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    82979: is it prime? Factors, square root, binary, Roman numeral | WordGPT