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The number 27121

27121 is a composite number with 4 divisors. Its prime factorisation is 37 × 733. Divisors (4): 1, 37, 733, 27121.

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How to work it out

  1. 1

    What is special about 27121: a semiprime: 37 × 733, the product of two primes.

  2. 2

    27121 is composite. Its prime factorisation is

    27121=37×73327121 = 37 \times 733
  3. 3

    The divisors add up to 27892; without 27121 itself that is 771, so 27121 is deficient (771 is less than 27121). Euler's totient φ(27121) = 26352 numbers up to 27121 share no factor with it.

  4. 4

    The digits of 27121 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27121 = 37 \times 733 \]

27121 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors27892
Euler totient φ(n)26352
Square735548641
Cube19948814692561
Square root164.684547
Digit sum / digital root13 / 4
Collatz steps to 138
Scientific notation2.7121 × 10410^{4}

27121 in other forms

FormValue
In wordstwenty-seven thousand one hundred and twenty-one
Binary (base 2)110100111110001
Octal (base 8)64761
Hexadecimal (base 16)69F1
Base 31101012111
As time27121 seconds = 7 h 32 min 1 s

Is 27121 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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.
7No (remainder 3)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27121 a prime number?

No. 27121 = 37 × 733, so it is divisible by 37.

What are the factors of 27121?

1, 37, 733, 27121.

What is 27121 in binary?

110100111110001 (hexadecimal 69F1, octal 64761).

What is the square root of 27121?

About 164.6845.

Is 27121 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 27121?

27121 is a semiprime: 37 × 733, the product of two primes.

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