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The number 40027

40027 is a composite number with 4 divisors. Its prime factorisation is 13 × 3079. Divisors (4): 1, 13, 3079, 40027.

Number

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How to work it out

  1. 1

    What is special about 40027: a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 3079, the product of two primes.

  2. 2

    40027 is composite. Its prime factorisation is

    40027=13×307940027 = 13 \times 3079
  3. 3

    The divisors add up to 43120; without 40027 itself that is 3093, so 40027 is deficient (3093 is less than 40027). Euler's totient φ(40027) = 36936 numbers up to 40027 share no factor with it.

  4. 4

    The digits of 40027 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40027 = 13 \times 3079 \]

40027 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors43120
Euler totient φ(n)36936
Square1602160729
Cube64129687499683
Square root200.067489
Digit sum / digital root13 / 4
Collatz steps to 175
Scientific notation4.0027 × 10410^{4}

40027 in other forms

FormValue
In wordsforty thousand and twenty-seven
Binary (base 2)1001110001011011
Octal (base 8)116133
Hexadecimal (base 16)9C5B
Base 32000220111
As time40027 seconds = 11 h 7 min 7 s

Is 40027 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 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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 4)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 40027 a prime number?

No. 40027 = 13 × 3079, so it is divisible by 13.

What are the factors of 40027?

1, 13, 3079, 40027.

What is 40027 in binary?

1001110001011011 (hexadecimal 9C5B, octal 116133).

What is the square root of 40027?

About 200.0675.

Is 40027 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 40027?

40027 is a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 3079, the product of two primes.

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