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The number 27979

27979 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 571. Divisors (6): 1, 7, 49, 571, 3997, 27979.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    27979 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

    27979 is composite. Its prime factorisation is

    27979=72Ɨ57127979 = 7^{2} \times 571
  3. 3

    The divisors add up to 32604; without 27979 itself that is 4625, so 27979 is deficient (4625 is less than 27979). Euler's totient φ(27979) = 23940 numbers up to 27979 share no factor with it.

  4. 4

    The digits of 27979 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 108 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27979 = 7^{2} \times 571 \]

27979 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors32604
Euler totient φ(n)23940
Square782824441
Cube21902645034739
Square root167.269244 (= 7√571)
Digit sum / digital root34 / 7
Collatz steps to 1108
Scientific notation2.7979 Ɨ 10410^{4}

27979 in other forms

FormValue
In wordstwenty-seven thousand nine hundred and seventy-nine
Binary (base 2)110110101001011
Octal (base 8)66513
Hexadecimal (base 16)6D4B
Base 31102101021
As time27979 seconds = 7 h 46 min 19 s

Is 27979 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 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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (27979 Ć· 7 = 3997)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 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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27979 a prime number?

No. 27979 = 727^{2} Ɨ 571, so it is divisible by 7.

What are the factors of 27979?

1, 7, 49, 571, 3997, 27979.

What is 27979 in binary?

110110101001011 (hexadecimal 6D4B, octal 66513).

What is the square root of 27979?

About 167.2692, exactly 7√571.

Is 27979 divisible by 3?

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

What is special about the number 27979?

It is a composite number with 6 divisors.

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    27979: is it prime? Factors, square root, binary, Roman numeral | WordGPT