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The number 74996

74996 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 18749. Divisors (6): 1, 2, 4, 18749, 37498, 74996.

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How to work it out

  1. 1

    What is special about 74996: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    74996 is composite. Its prime factorisation is

    74996=22×1874974996 = 2^{2} \times 18749
  3. 3

    The divisors add up to 131250; without 74996 itself that is 56254, so 74996 is deficient (56254 is less than 74996). Euler's totient φ(74996) = 37496 numbers up to 74996 share no factor with it.

  4. 4

    The digits of 74996 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74996 = 2^{2} \times 18749 \]

74996 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors131250
Euler totient φ(n)37496
Square5624400016
Cube421807503599936
Square root273.853976 (= 2√18749)
Digit sum / digital root35 / 8
Collatz steps to 1156
Scientific notation7.4996 × 10410^{4}

74996 in other forms

FormValue
In wordsseventy-four thousand nine hundred and ninety-six
Binary (base 2)10010010011110100
Octal (base 8)222364
Hexadecimal (base 16)124F4
Base 310210212122
As time74996 seconds = 20 h 49 min 56 s

Is 74996 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74996 ÷ 2 = 37498)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 (74996 ÷ 4 = 18749)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 5)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74996 a prime number?

No. 74996 = 222^{2} × 18749, so it is divisible by 2.

What are the factors of 74996?

1, 2, 4, 18749, 37498, 74996.

What is 74996 in binary?

10010010011110100 (hexadecimal 124F4, octal 222364).

What is the square root of 74996?

About 273.8540, exactly 2√18749.

Is 74996 divisible by 3?

No. Its digits add up to 35, which is not a multiple of 3.

What is special about the number 74996?

74996 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    74996: is it prime? Factors, square root, binary, Roman numeral | WordGPT