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The number 27969

27969 is a composite number with 4 divisors. Its prime factorisation is 3 × 9323. Divisors (4): 1, 3, 9323, 27969.

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How to work it out

  1. 1

    What is special about 27969: a semiprime: 3 × 9323, the product of two primes.

  2. 2

    27969 is composite. Its prime factorisation is

    27969=3×932327969 = 3 \times 9323
  3. 3

    The divisors add up to 37296; without 27969 itself that is 9327, so 27969 is deficient (9327 is less than 27969). Euler's totient φ(27969) = 18644 numbers up to 27969 share no factor with it.

  4. 4

    The digits of 27969 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27969 = 3 \times 9323 \]

27969 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors37296
Euler totient φ(n)18644
Square782264961
Cube21879168694209
Square root167.239349
Digit sum / digital root33 / 6
Collatz steps to 1152
Scientific notation2.7969 × 10410^{4}

27969 in other forms

FormValue
In wordstwenty-seven thousand nine hundred and sixty-nine
Binary (base 2)110110101000001
Octal (base 8)66501
Hexadecimal (base 16)6D41
Base 31102100220
As time27969 seconds = 7 h 46 min 9 s

Is 27969 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 (27969 ÷ 3 = 9323)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.
7No (remainder 4)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 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 7)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 27969 a prime number?

No. 27969 = 3 × 9323, so it is divisible by 3.

What are the factors of 27969?

1, 3, 9323, 27969.

What is 27969 in binary?

110110101000001 (hexadecimal 6D41, octal 66501).

What is the square root of 27969?

About 167.2393.

Is 27969 divisible by 3?

Yes. Its digits add up to 33, a multiple of 3.

What is special about the number 27969?

27969 is a semiprime: 3 × 9323, the product of two primes.

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