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The number 33425

33425 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 7 × 191. Divisors (12): 1, 5, 7, 25, 35, 175, 191, 955, 1337, 4775, 6685, 33425.

Number

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How to work it out

  1. 1

    33425 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

    33425 is composite. Its prime factorisation is

    33425=52×7×19133425 = 5^{2} \times 7 \times 191
  3. 3

    The divisors add up to 47616; without 33425 itself that is 14191, so 33425 is deficient (14191 is less than 33425). Euler's totient φ(33425) = 22800 numbers up to 33425 share no factor with it.

  4. 4

    The digits of 33425 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 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 33425 = 5^{2} \times 7 \times 191 \]

33425 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors47616
Euler totient φ(n)22800
Square1117230625
Cube37343433640625
Square root182.825053 (= 5√1337)
Digit sum / digital root17 / 8
Collatz steps to 167
Scientific notation3.3425 × 10410^{4}

33425 in other forms

FormValue
In wordsthirty-three thousand four hundred and twenty-five
Binary (base 2)1000001010010001
Octal (base 8)101221
Hexadecimal (base 16)8291
Base 31200211222
As time33425 seconds = 9 h 17 min 5 s

Is 33425 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.
5Yes (33425 ÷ 5 = 6685)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.
7Yes (33425 ÷ 7 = 4775)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 5)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 33425 a prime number?

No. 33425 = 525^{2} × 7 × 191, so it is divisible by 5.

What are the factors of 33425?

1, 5, 7, 25, 35, 175, 191, 955, 1337, 4775, 6685, 33425.

What is 33425 in binary?

1000001010010001 (hexadecimal 8291, octal 101221).

What is the square root of 33425?

About 182.8251, exactly 5√1337.

Is 33425 divisible by 3?

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

What is special about the number 33425?

It is a composite number with 12 divisors.

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    33425: is it prime? Factors, square root, binary, Roman numeral | WordGPT