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The number 32275

32275 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 1291. Divisors (6): 1, 5, 25, 1291, 6455, 32275.

Number

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How to work it out

  1. 1

    What is special about 32275: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    32275 is composite. Its prime factorisation is

    32275=52Ɨ129132275 = 5^{2} \times 1291
  3. 3

    The divisors add up to 40052; without 32275 itself that is 7777, so 32275 is deficient (7777 is less than 32275). Euler's totient φ(32275) = 25800 numbers up to 32275 share no factor with it.

  4. 4

    The digits of 32275 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 191 steps to reach 1.

LaTeX source of the formulas on this page
\[ 32275 = 5^{2} \times 1291 \]

32275 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors40052
Euler totient φ(n)25800
Square1041675625
Cube33620080796875
Square root179.652442 (= 5√1291)
Digit sum / digital root19 / 1
Collatz steps to 1191
Scientific notation3.2275 Ɨ 10410^{4}

32275 in other forms

FormValue
In wordsthirty-two thousand two hundred and seventy-five
Binary (base 2)111111000010011
Octal (base 8)77023
Hexadecimal (base 16)7E13
Base 31122021101
As time32275 seconds = 8 h 57 min 55 s

Is 32275 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (32275 Ć· 5 = 6455)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 5)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 32275 a prime number?

No. 32275 = 525^{2} Ɨ 1291, so it is divisible by 5.

What are the factors of 32275?

1, 5, 25, 1291, 6455, 32275.

What is 32275 in binary?

111111000010011 (hexadecimal 7E13, octal 77023).

What is the square root of 32275?

About 179.6524, exactly 5√1291.

Is 32275 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 32275?

32275 is a happy number: repeatedly adding the squares of its digits reaches 1.

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