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The number 32281

32281 is a composite number with 4 divisors. Its prime factorisation is 19 × 1699. Divisors (4): 1, 19, 1699, 32281.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 32281: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 1699, the product of two primes.

  2. 2

    32281 is composite. Its prime factorisation is

    32281=19×169932281 = 19 \times 1699
  3. 3

    The divisors add up to 34000; without 32281 itself that is 1719, so 32281 is deficient (1719 is less than 32281). Euler's totient φ(32281) = 30564 numbers up to 32281 share no factor with it.

  4. 4

    The digits of 32281 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 191 steps to reach 1.

LaTeX source of the formulas on this page
\[ 32281 = 19 \times 1699 \]

32281 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors34000
Euler totient φ(n)30564
Square1042062961
Cube33638834444041
Square root179.669140
Digit sum / digital root16 / 7
Collatz steps to 1191
Scientific notation3.2281 × 10410^{4}

32281 in other forms

FormValue
In wordsthirty-two thousand two hundred and eighty-one
Binary (base 2)111111000011001
Octal (base 8)77031
Hexadecimal (base 16)7E19
Base 31122021121
As time32281 seconds = 8 h 58 min 1 s

Is 32281 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 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 7)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 7)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 32281 a prime number?

No. 32281 = 19 × 1699, so it is divisible by 19.

What are the factors of 32281?

1, 19, 1699, 32281.

What is 32281 in binary?

111111000011001 (hexadecimal 7E19, octal 77031).

What is the square root of 32281?

About 179.6691.

Is 32281 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 32281?

32281 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 1699, the product of two primes.

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