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The number 74523

74523 is a composite number with 4 divisors. Its prime factorisation is 3 × 24841. Divisors (4): 1, 3, 24841, 74523.

Number

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How to work it out

  1. 1

    What is special about 74523: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 24841, the product of two primes.

  2. 2

    74523 is composite. Its prime factorisation is

    74523=3×2484174523 = 3 \times 24841
  3. 3

    The divisors add up to 99368; without 74523 itself that is 24845, so 74523 is deficient (24845 is less than 74523). Euler's totient φ(74523) = 49680 numbers up to 74523 share no factor with it.

  4. 4

    The digits of 74523 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74523 = 3 \times 24841 \]

74523 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors99368
Euler totient φ(n)49680
Square5553677529
Cube413876710493667
Square root272.989011
Digit sum / digital root21 / 3
Collatz steps to 1138
Scientific notation7.4523 × 10410^{4}

74523 in other forms

FormValue
In wordsseventy-four thousand five hundred and twenty-three
Binary (base 2)10010001100011011
Octal (base 8)221433
Hexadecimal (base 16)1231B
Base 310210020010
As time74523 seconds = 20 h 42 min 3 s

Is 74523 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).
3Yes (74523 ÷ 3 = 24841)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.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74523 a prime number?

No. 74523 = 3 × 24841, so it is divisible by 3.

What are the factors of 74523?

1, 3, 24841, 74523.

What is 74523 in binary?

10010001100011011 (hexadecimal 1231B, octal 221433).

What is the square root of 74523?

About 272.9890.

Is 74523 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 74523?

74523 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 24841, the product of two primes.

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