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The number 42289

42289 is a composite number with 4 divisors. Its prime factorisation is 13 × 3253. Divisors (4): 1, 13, 3253, 42289.

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How to work it out

  1. 1

    What is special about 42289: a semiprime: 13 × 3253, the product of two primes.

  2. 2

    42289 is composite. Its prime factorisation is

    42289=13×325342289 = 13 \times 3253
  3. 3

    The divisors add up to 45556; without 42289 itself that is 3267, so 42289 is deficient (3267 is less than 42289). Euler's totient φ(42289) = 39024 numbers up to 42289 share no factor with it.

  4. 4

    The digits of 42289 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42289 = 13 \times 3253 \]

42289 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors45556
Euler totient φ(n)39024
Square1788359521
Cube75627935783569
Square root205.642894
Digit sum / digital root25 / 7
Collatz steps to 1150
Scientific notation4.2289 × 10410^{4}

42289 in other forms

FormValue
In wordsforty-two thousand two hundred and eighty-nine
Binary (base 2)1010010100110001
Octal (base 8)122461
Hexadecimal (base 16)A531
Base 32011000021
As time42289 seconds = 11 h 44 min 49 s

Is 42289 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 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 7)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42289 a prime number?

No. 42289 = 13 × 3253, so it is divisible by 13.

What are the factors of 42289?

1, 13, 3253, 42289.

What is 42289 in binary?

1010010100110001 (hexadecimal A531, octal 122461).

What is the square root of 42289?

About 205.6429.

Is 42289 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 42289?

42289 is a semiprime: 13 × 3253, the product of two primes.

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    42289: is it prime? Factors, square root, binary, Roman numeral | WordGPT