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The number 42449

42449 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 227. Divisors (8): 1, 11, 17, 187, 227, 2497, 3859, 42449.

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How to work it out

  1. 1

    What is special about 42449: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    42449 is composite. Its prime factorisation is

    42449=11×17×22742449 = 11 \times 17 \times 227
  3. 3

    The divisors add up to 49248; without 42449 itself that is 6799, so 42449 is deficient (6799 is less than 42449). Euler's totient φ(42449) = 36160 numbers up to 42449 share no factor with it.

  4. 4

    The digits of 42449 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42449 = 11 \times 17 \times 227 \]

42449 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors49248
Euler totient φ(n)36160
Square1801917601
Cube76489600244849
Square root206.031551
Digit sum / digital root23 / 5
Collatz steps to 1101
Scientific notation4.2449 × 10410^{4}

42449 in other forms

FormValue
In wordsforty-two thousand four hundred and forty-nine
Binary (base 2)1010010111010001
Octal (base 8)122721
Hexadecimal (base 16)A5D1
Base 32011020012
As time42449 seconds = 11 h 47 min 29 s

Is 42449 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 1)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.
11Yes (42449 ÷ 11 = 3859)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 42449 a prime number?

No. 42449 = 11 × 17 × 227, so it is divisible by 11.

What are the factors of 42449?

1, 11, 17, 187, 227, 2497, 3859, 42449.

What is 42449 in binary?

1010010111010001 (hexadecimal A5D1, octal 122721).

What is the square root of 42449?

About 206.0316.

Is 42449 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 42449?

42449 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    42449: is it prime? Factors, square root, binary, Roman numeral | WordGPT