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The number 27161

27161 is a composite number with 4 divisors. Its prime factorisation is 157 × 173. Divisors (4): 1, 157, 173, 27161.

Number

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How to work it out

  1. 1

    What is special about 27161: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 157 × 173, the product of two primes.

  2. 2

    27161 is composite. Its prime factorisation is

    27161=157×17327161 = 157 \times 173
  3. 3

    The divisors add up to 27492; without 27161 itself that is 331, so 27161 is deficient (331 is less than 27161). Euler's totient φ(27161) = 26832 numbers up to 27161 share no factor with it.

  4. 4

    The digits of 27161 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27161 = 157 \times 173 \]

27161 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors27492
Euler totient φ(n)26832
Square737719921
Cube20037210774281
Square root164.805946
Digit sum / digital root17 / 8
Collatz steps to 138
Scientific notation2.7161 × 10410^{4}

27161 in other forms

FormValue
In wordstwenty-seven thousand one hundred and sixty-one
Binary (base 2)110101000011001
Octal (base 8)65031
Hexadecimal (base 16)6A19
Base 31101020222
As time27161 seconds = 7 h 32 min 41 s

Is 27161 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 1)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 1)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 27161 a prime number?

No. 27161 = 157 × 173, so it is divisible by 157.

What are the factors of 27161?

1, 157, 173, 27161.

What is 27161 in binary?

110101000011001 (hexadecimal 6A19, octal 65031).

What is the square root of 27161?

About 164.8059.

Is 27161 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 27161?

27161 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 157 × 173, the product of two primes.

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