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The number 74504

74504 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 67 × 139. Divisors (16): 1, 2, 4, 8, 67, 134, 139, 268, 278, 536, 556, 1112, 9313, 18626, 37252, 74504.

Number

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How to work it out

  1. 1

    74504 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

    74504 is composite. Its prime factorisation is

    74504=23×67×13974504 = 2^{3} \times 67 \times 139
  3. 3

    The divisors add up to 142800; without 74504 itself that is 68296, so 74504 is deficient (68296 is less than 74504). Euler's totient φ(74504) = 36432 numbers up to 74504 share no factor with it.

  4. 4

    The digits of 74504 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74504 = 2^{3} \times 67 \times 139 \]

74504 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors142800
Euler totient φ(n)36432
Square5550846016
Cube413560231576064
Square root272.954209 (= 2√18626)
Digit sum / digital root20 / 2
Collatz steps to 1112
Scientific notation7.4504 × 10410^{4}

74504 in other forms

FormValue
In wordsseventy-four thousand five hundred and four
Binary (base 2)10010001100001000
Octal (base 8)221410
Hexadecimal (base 16)12308
Base 310210012102
As time74504 seconds = 20 h 41 min 44 s

Is 74504 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74504 ÷ 2 = 37252)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.
4Yes (74504 ÷ 4 = 18626)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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.
8Yes (74504 ÷ 8 = 9313)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74504 a prime number?

No. 74504 = 232^{3} × 67 × 139, so it is divisible by 2.

What are the factors of 74504?

1, 2, 4, 8, 67, 134, 139, 268, 278, 536, 556, 1112, 9313, 18626, 37252, 74504.

What is 74504 in binary?

10010001100001000 (hexadecimal 12308, octal 221410).

What is the square root of 74504?

About 272.9542, exactly 2√18626.

Is 74504 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 74504?

It is a composite number with 16 divisors.

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    74504: is it prime? Factors, square root, binary, Roman numeral | WordGPT