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The number 74498

74498 is a composite number with 6 divisors. Its prime factorisation is 2 Ɨ 1932193^{2}. Divisors (6): 1, 2, 193, 386, 37249, 74498.

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How to work it out

  1. 1

    What is special about 74498: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    74498 is composite. Its prime factorisation is

    74498=2Ɨ193274498 = 2 \times 193^{2}
  3. 3

    The divisors add up to 112329; without 74498 itself that is 37831, so 74498 is deficient (37831 is less than 74498). Euler's totient φ(74498) = 37056 numbers up to 74498 share no factor with it.

  4. 4

    The digits of 74498 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74498 = 2 \times 193^{2} \]

74498 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors112329
Euler totient φ(n)37056
Square5549952004
Cube413460324393992
Square root272.943218 (= 193√2)
Digit sum / digital root32 / 5
Collatz steps to 1112
Scientific notation7.4498 Ɨ 10410^{4}

74498 in other forms

FormValue
In wordsseventy-four thousand four hundred and ninety-eight
Binary (base 2)10010001100000010
Octal (base 8)221402
Hexadecimal (base 16)12302
Base 310210012012
As time74498 seconds = 20 h 41 min 38 s

Is 74498 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74498 Ć· 2 = 37249)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 2)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 2)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 2)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74498 a prime number?

No. 74498 = 2 Ɨ 1932193^{2}, so it is divisible by 2.

What are the factors of 74498?

1, 2, 193, 386, 37249, 74498.

What is 74498 in binary?

10010001100000010 (hexadecimal 12302, octal 221402).

What is the square root of 74498?

About 272.9432, exactly 193√2.

Is 74498 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 74498?

74498 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    74498: is it prime? Factors, square root, binary, Roman numeral | WordGPT