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The number 42802

42802 is a composite number with 4 divisors. Its prime factorisation is 2 × 21401. Divisors (4): 1, 2, 21401, 42802.

Number

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How to work it out

  1. 1

    What is special about 42802: a semiprime: 2 × 21401, the product of two primes.

  2. 2

    42802 is composite. Its prime factorisation is

    42802=2×2140142802 = 2 \times 21401
  3. 3

    The divisors add up to 64206; without 42802 itself that is 21404, so 42802 is deficient (21404 is less than 42802). Euler's totient φ(42802) = 21400 numbers up to 42802 share no factor with it.

  4. 4

    The digits of 42802 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42802 = 2 \times 21401 \]

42802 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors64206
Euler totient φ(n)21400
Square1832011204
Cube78413743553608
Square root206.886442
Digit sum / digital root16 / 7
Collatz steps to 149
Scientific notation4.2802 × 10410^{4}

42802 in other forms

FormValue
In wordsforty-two thousand eight hundred and two
Binary (base 2)1010011100110010
Octal (base 8)123462
Hexadecimal (base 16)A732
Base 32011201021
As time42802 seconds = 11 h 53 min 22 s

Is 42802 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42802 ÷ 2 = 21401)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 2)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 4)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 42802 a prime number?

No. 42802 = 2 × 21401, so it is divisible by 2.

What are the factors of 42802?

1, 2, 21401, 42802.

What is 42802 in binary?

1010011100110010 (hexadecimal A732, octal 123462).

What is the square root of 42802?

About 206.8864.

Is 42802 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 42802?

42802 is a semiprime: 2 × 21401, the product of two primes.

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    42802: is it prime? Factors, square root, binary, Roman numeral | WordGPT