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The number 32161

32161 is a composite number with 4 divisors. Its prime factorisation is 29 × 1109. Divisors (4): 1, 29, 1109, 32161.

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How to work it out

  1. 1

    What is special about 32161: a semiprime: 29 × 1109, the product of two primes.

  2. 2

    32161 is composite. Its prime factorisation is

    32161=29×110932161 = 29 \times 1109
  3. 3

    The divisors add up to 33300; without 32161 itself that is 1139, so 32161 is deficient (1139 is less than 32161). Euler's totient φ(32161) = 31024 numbers up to 32161 share no factor with it.

  4. 4

    The digits of 32161 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 147 steps to reach 1.

LaTeX source of the formulas on this page
\[ 32161 = 29 \times 1109 \]

32161 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors33300
Euler totient φ(n)31024
Square1034329921
Cube33265084589281
Square root179.334882
Digit sum / digital root13 / 4
Collatz steps to 1147
Scientific notation3.2161 × 10410^{4}

32161 in other forms

FormValue
In wordsthirty-two thousand one hundred and sixty-one
Binary (base 2)111110110100001
Octal (base 8)76641
Hexadecimal (base 16)7DA1
Base 31122010011
As time32161 seconds = 8 h 56 min 1 s

Is 32161 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 8)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 32161 a prime number?

No. 32161 = 29 × 1109, so it is divisible by 29.

What are the factors of 32161?

1, 29, 1109, 32161.

What is 32161 in binary?

111110110100001 (hexadecimal 7DA1, octal 76641).

What is the square root of 32161?

About 179.3349.

Is 32161 divisible by 3?

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

What is special about the number 32161?

32161 is a semiprime: 29 × 1109, the product of two primes.

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    32161: is it prime? Factors, square root, binary, Roman numeral | WordGPT