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The number 74938

74938 is a composite number with 8 divisors. Its prime factorisation is 2 × 89 × 421. Divisors (8): 1, 2, 89, 178, 421, 842, 37469, 74938.

Number

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How to work it out

  1. 1

    What is special about 74938: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    74938 is composite. Its prime factorisation is

    74938=2×89×42174938 = 2 \times 89 \times 421
  3. 3

    The divisors add up to 113940; without 74938 itself that is 39002, so 74938 is deficient (39002 is less than 74938). Euler's totient φ(74938) = 36960 numbers up to 74938 share no factor with it.

  4. 4

    The digits of 74938 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74938 = 2 \times 89 \times 421 \]

74938 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors113940
Euler totient φ(n)36960
Square5615703844
Cube420829614661672
Square root273.748059
Digit sum / digital root31 / 4
Collatz steps to 163
Scientific notation7.4938 × 10410^{4}

74938 in other forms

FormValue
In wordsseventy-four thousand nine hundred and thirty-eight
Binary (base 2)10010010010111010
Octal (base 8)222272
Hexadecimal (base 16)124BA
Base 310210210111
As time74938 seconds = 20 h 48 min 58 s

Is 74938 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74938 ÷ 2 = 37469)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.
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 4)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.
8No (remainder 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74938 a prime number?

No. 74938 = 2 × 89 × 421, so it is divisible by 2.

What are the factors of 74938?

1, 2, 89, 178, 421, 842, 37469, 74938.

What is 74938 in binary?

10010010010111010 (hexadecimal 124BA, octal 222272).

What is the square root of 74938?

About 273.7481.

Is 74938 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 74938?

74938 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    74938: is it prime? Factors, square root, binary, Roman numeral | WordGPT