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The number 20067

20067 is a composite number with 4 divisors. Its prime factorisation is 3 × 6689. Divisors (4): 1, 3, 6689, 20067.

Number

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How to work it out

  1. 1

    What is special about 20067: a semiprime: 3 × 6689, the product of two primes.

  2. 2

    20067 is composite. Its prime factorisation is

    20067=3×668920067 = 3 \times 6689
  3. 3

    The divisors add up to 26760; without 20067 itself that is 6693, so 20067 is deficient (6693 is less than 20067). Euler's totient φ(20067) = 13376 numbers up to 20067 share no factor with it.

  4. 4

    The digits of 20067 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.

LaTeX source of the formulas on this page
\[ 20067 = 3 \times 6689 \]

20067 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors26760
Euler totient φ(n)13376
Square402684489
Cube8080669640763
Square root141.658039
Digit sum / digital root15 / 6
Collatz steps to 143
Scientific notation2.0067 × 10410^{4}

20067 in other forms

FormValue
In wordstwenty thousand and sixty-seven
Binary (base 2)100111001100011
Octal (base 8)47143
Hexadecimal (base 16)4E63
Base 31000112020
As time20067 seconds = 5 h 34 min 27 s

Is 20067 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 (20067 ÷ 3 = 6689)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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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.
11No (remainder 3)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 20067 a prime number?

No. 20067 = 3 × 6689, so it is divisible by 3.

What are the factors of 20067?

1, 3, 6689, 20067.

What is 20067 in binary?

100111001100011 (hexadecimal 4E63, octal 47143).

What is the square root of 20067?

About 141.6580.

Is 20067 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 20067?

20067 is a semiprime: 3 × 6689, the product of two primes.

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