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The number 74849

74849 is a composite number with 6 divisors. Its prime factorisation is 29229^{2} Ɨ 89. Divisors (6): 1, 29, 89, 841, 2581, 74849.

Number

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How to work it out

  1. 1

    What is special about 74849: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    74849 is composite. Its prime factorisation is

    74849=292Ɨ8974849 = 29^{2} \times 89
  3. 3

    The divisors add up to 78390; without 74849 itself that is 3541, so 74849 is deficient (3541 is less than 74849). Euler's totient φ(74849) = 71456 numbers up to 74849 share no factor with it.

  4. 4

    The digits of 74849 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 200 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74849 = 29^{2} \times 89 \]

74849 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors78390
Euler totient φ(n)71456
Square5602372801
Cube419332001782049
Square root273.585453 (= 29√89)
Digit sum / digital root32 / 5
Collatz steps to 1200
Scientific notation7.4849 Ɨ 10410^{4}

74849 in other forms

FormValue
In wordsseventy-four thousand eight hundred and forty-nine
Binary (base 2)10010010001100001
Octal (base 8)222141
Hexadecimal (base 16)12461
Base 310210200012
As time74849 seconds = 20 h 47 min 29 s

Is 74849 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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 1)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 5)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 1)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74849 a prime number?

No. 74849 = 29229^{2} Ɨ 89, so it is divisible by 29.

What are the factors of 74849?

1, 29, 89, 841, 2581, 74849.

What is 74849 in binary?

10010010001100001 (hexadecimal 12461, octal 222141).

What is the square root of 74849?

About 273.5855, exactly 29√89.

Is 74849 divisible by 3?

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

What is special about the number 74849?

74849 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    74849: is it prime? Factors, square root, binary, Roman numeral | WordGPT