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The number 74525

74525 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 11 × 271. Divisors (12): 1, 5, 11, 25, 55, 271, 275, 1355, 2981, 6775, 14905, 74525.

Number

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How to work it out

  1. 1

    74525 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

    74525 is composite. Its prime factorisation is

    74525=52×11×27174525 = 5^{2} \times 11 \times 271
  3. 3

    The divisors add up to 101184; without 74525 itself that is 26659, so 74525 is deficient (26659 is less than 74525). Euler's totient φ(74525) = 54000 numbers up to 74525 share no factor with it.

  4. 4

    The digits of 74525 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74525 = 5^{2} \times 11 \times 271 \]

74525 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors101184
Euler totient φ(n)54000
Square5553975625
Cube413910033453125
Square root272.992674 (= 5√2981)
Digit sum / digital root23 / 5
Collatz steps to 194
Scientific notation7.4525 × 10410^{4}

74525 in other forms

FormValue
In wordsseventy-four thousand five hundred and twenty-five
Binary (base 2)10010001100011101
Octal (base 8)221435
Hexadecimal (base 16)1231D
Base 310210020012
As time74525 seconds = 20 h 42 min 5 s

Is 74525 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 (74525 ÷ 5 = 14905)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.
7No (remainder 3)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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.
11Yes (74525 ÷ 11 = 6775)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 74525 a prime number?

No. 74525 = 525^{2} × 11 × 271, so it is divisible by 5.

What are the factors of 74525?

1, 5, 11, 25, 55, 271, 275, 1355, 2981, 6775, 14905, 74525.

What is 74525 in binary?

10010001100011101 (hexadecimal 1231D, octal 221435).

What is the square root of 74525?

About 272.9927, exactly 5√2981.

Is 74525 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 74525?

It is a composite number with 12 divisors.

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    74525: is it prime? Factors, square root, binary, Roman numeral | WordGPT