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The number 74248

74248 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 9281. Divisors (8): 1, 2, 4, 8, 9281, 18562, 37124, 74248.

Number

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How to work it out

  1. 1

    74248 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

    74248 is composite. Its prime factorisation is

    74248=23×928174248 = 2^{3} \times 9281
  3. 3

    The divisors add up to 139230; without 74248 itself that is 64982, so 74248 is deficient (64982 is less than 74248). Euler's totient φ(74248) = 37120 numbers up to 74248 share no factor with it.

  4. 4

    The digits of 74248 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74248 = 2^{3} \times 9281 \]

74248 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors139230
Euler totient φ(n)37120
Square5512765504
Cube409311813140992
Square root272.484862 (= 2√18562)
Digit sum / digital root25 / 7
Collatz steps to 163
Scientific notation7.4248 × 10410^{4}

74248 in other forms

FormValue
In wordsseventy-four thousand two hundred and forty-eight
Binary (base 2)10010001000001000
Octal (base 8)221010
Hexadecimal (base 16)12208
Base 310202211221
As time74248 seconds = 20 h 37 min 28 s

Is 74248 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74248 ÷ 2 = 37124)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.
4Yes (74248 ÷ 4 = 18562)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 (74248 ÷ 8 = 9281)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74248 a prime number?

No. 74248 = 232^{3} × 9281, so it is divisible by 2.

What are the factors of 74248?

1, 2, 4, 8, 9281, 18562, 37124, 74248.

What is 74248 in binary?

10010001000001000 (hexadecimal 12208, octal 221010).

What is the square root of 74248?

About 272.4849, exactly 2√18562.

Is 74248 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 74248?

It is a composite number with 8 divisors.

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    74248: is it prime? Factors, square root, binary, Roman numeral | WordGPT