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The number 42867

42867 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 11 × 433. Divisors (12): 1, 3, 9, 11, 33, 99, 433, 1299, 3897, 4763, 14289, 42867.

Number

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How to work it out

  1. 1

    42867 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    42867 is composite. Its prime factorisation is

    42867=32×11×43342867 = 3^{2} \times 11 \times 433
  3. 3

    The divisors add up to 67704; without 42867 itself that is 24837, so 42867 is deficient (24837 is less than 42867). Euler's totient φ(42867) = 25920 numbers up to 42867 share no factor with it.

  4. 4

    The digits of 42867 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42867 = 3^{2} \times 11 \times 433 \]

42867 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors67704
Euler totient φ(n)25920
Square1837579689
Cube78771528528363
Square root207.043474 (= 3√4763)
Digit sum / digital root27 / 9
Collatz steps to 1194
Scientific notation4.2867 × 10410^{4}

42867 in other forms

FormValue
In wordsforty-two thousand eight hundred and sixty-seven
Binary (base 2)1010011101110011
Octal (base 8)123563
Hexadecimal (base 16)A773
Base 32011210200
As time42867 seconds = 11 h 54 min 27 s

Is 42867 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).
3Yes (42867 ÷ 3 = 14289)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (42867 ÷ 9 = 4763)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11Yes (42867 ÷ 11 = 3897)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42867 a prime number?

No. 42867 = 323^{2} × 11 × 433, so it is divisible by 3.

What are the factors of 42867?

1, 3, 9, 11, 33, 99, 433, 1299, 3897, 4763, 14289, 42867.

What is 42867 in binary?

1010011101110011 (hexadecimal A773, octal 123563).

What is the square root of 42867?

About 207.0435, exactly 3√4763.

Is 42867 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 42867?

It is a composite number with 12 divisors.

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