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The number 33625

33625 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 269. Divisors (8): 1, 5, 25, 125, 269, 1345, 6725, 33625.

Number

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How to work it out

  1. 1

    33625 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

    33625 is composite. Its prime factorisation is

    33625=53Ɨ26933625 = 5^{3} \times 269
  3. 3

    The divisors add up to 42120; without 33625 itself that is 8495, so 33625 is deficient (8495 is less than 33625). Euler's totient φ(33625) = 26800 numbers up to 33625 share no factor with it.

  4. 4

    The digits of 33625 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 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 33625 = 5^{3} \times 269 \]

33625 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors42120
Euler totient φ(n)26800
Square1130640625
Cube38017791015625
Square root183.371208 (= 5√1345)
Digit sum / digital root19 / 1
Collatz steps to 167
Scientific notation3.3625 Ɨ 10410^{4}

33625 in other forms

FormValue
In wordsthirty-three thousand six hundred and twenty-five
Binary (base 2)1000001101011001
Octal (base 8)101531
Hexadecimal (base 16)8359
Base 31201010101
As time33625 seconds = 9 h 20 min 25 s

Is 33625 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.
5Yes (33625 Ć· 5 = 6725)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 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 9)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 33625 a prime number?

No. 33625 = 535^{3} Ɨ 269, so it is divisible by 5.

What are the factors of 33625?

1, 5, 25, 125, 269, 1345, 6725, 33625.

What is 33625 in binary?

1000001101011001 (hexadecimal 8359, octal 101531).

What is the square root of 33625?

About 183.3712, exactly 5√1345.

Is 33625 divisible by 3?

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

What is special about the number 33625?

It is a composite number with 8 divisors.

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    33625: is it prime? Factors, square root, binary, Roman numeral | WordGPT