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The number 20426

20426 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 1459. Divisors (8): 1, 2, 7, 14, 1459, 2918, 10213, 20426.

Number

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How to work it out

  1. 1

    What is special about 20426: a Harshad number: divisible by its digit sum 14.

  2. 2

    20426 is composite. Its prime factorisation is

    20426=2×7×145920426 = 2 \times 7 \times 1459
  3. 3

    The divisors add up to 35040; without 20426 itself that is 14614, so 20426 is deficient (14614 is less than 20426). Euler's totient φ(20426) = 8748 numbers up to 20426 share no factor with it.

  4. 4

    The digits of 20426 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.

LaTeX source of the formulas on this page
\[ 20426 = 2 \times 7 \times 1459 \]

20426 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors35040
Euler totient φ(n)8748
Square417221476
Cube8522165868776
Square root142.919558
Digit sum / digital root14 / 5
Collatz steps to 1180
Scientific notation2.0426 × 10410^{4}

20426 in other forms

FormValue
In wordstwenty thousand four hundred and twenty-six
Binary (base 2)100111111001010
Octal (base 8)47712
Hexadecimal (base 16)4FCA
Base 31001000112
As time20426 seconds = 5 h 40 min 26 s

Is 20426 divisible by 2 to 12?

DivisorAnswerRule
2Yes (20426 ÷ 2 = 10213)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (20426 ÷ 7 = 2918)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 20426 a prime number?

No. 20426 = 2 × 7 × 1459, so it is divisible by 2.

What are the factors of 20426?

1, 2, 7, 14, 1459, 2918, 10213, 20426.

What is 20426 in binary?

100111111001010 (hexadecimal 4FCA, octal 47712).

What is the square root of 20426?

About 142.9196.

Is 20426 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 20426?

20426 is a Harshad number: divisible by its digit sum 14.

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