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The number 27929

27929 is a composite number with 4 divisors. Its prime factorisation is 11 × 2539. Divisors (4): 1, 11, 2539, 27929.

Number

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How to work it out

  1. 1

    What is special about 27929: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 2539, the product of two primes.

  2. 2

    27929 is composite. Its prime factorisation is

    27929=11×253927929 = 11 \times 2539
  3. 3

    The divisors add up to 30480; without 27929 itself that is 2551, so 27929 is deficient (2551 is less than 27929). Euler's totient φ(27929) = 25380 numbers up to 27929 share no factor with it.

  4. 4

    The digits of 27929 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27929 = 11 \times 2539 \]

27929 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors30480
Euler totient φ(n)25380
Square780029041
Cube21785431086089
Square root167.119718
Digit sum / digital root29 / 2
Collatz steps to 190
Scientific notation2.7929 × 10410^{4}

27929 in other forms

FormValue
In wordstwenty-seven thousand nine hundred and twenty-nine
Binary (base 2)110110100011001
Octal (base 8)66431
Hexadecimal (base 16)6D19
Base 31102022102
As time27929 seconds = 7 h 45 min 29 s

Is 27929 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 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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 2)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.
11Yes (27929 ÷ 11 = 2539)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27929 a prime number?

No. 27929 = 11 × 2539, so it is divisible by 11.

What are the factors of 27929?

1, 11, 2539, 27929.

What is 27929 in binary?

110110100011001 (hexadecimal 6D19, octal 66431).

What is the square root of 27929?

About 167.1197.

Is 27929 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 27929?

27929 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 2539, the product of two primes.

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