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The number 33475

33475 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 13 × 103. Divisors (12): 1, 5, 13, 25, 65, 103, 325, 515, 1339, 2575, 6695, 33475.

Number

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How to work it out

  1. 1

    33475 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    33475 is composite. Its prime factorisation is

    33475=52×13×10333475 = 5^{2} \times 13 \times 103
  3. 3

    The divisors add up to 45136; without 33475 itself that is 11661, so 33475 is deficient (11661 is less than 33475). Euler's totient φ(33475) = 24480 numbers up to 33475 share no factor with it.

  4. 4

    The digits of 33475 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 33475 = 5^{2} \times 13 \times 103 \]

33475 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors45136
Euler totient φ(n)24480
Square1120575625
Cube37511269046875
Square root182.961745 (= 5√1339)
Digit sum / digital root22 / 4
Collatz steps to 167
Scientific notation3.3475 × 10410^{4}

33475 in other forms

FormValue
In wordsthirty-three thousand four hundred and seventy-five
Binary (base 2)1000001011000011
Octal (base 8)101303
Hexadecimal (base 16)82C3
Base 31200220211
As time33475 seconds = 9 h 17 min 55 s

Is 33475 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 (33475 ÷ 5 = 6695)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 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 3)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 5)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 33475 a prime number?

No. 33475 = 525^{2} × 13 × 103, so it is divisible by 5.

What are the factors of 33475?

1, 5, 13, 25, 65, 103, 325, 515, 1339, 2575, 6695, 33475.

What is 33475 in binary?

1000001011000011 (hexadecimal 82C3, octal 101303).

What is the square root of 33475?

About 182.9617, exactly 5√1339.

Is 33475 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 33475?

It is a composite number with 12 divisors.

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    33475: is it prime? Factors, square root, binary, Roman numeral | WordGPT