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The number 41427

41427 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 4603. Divisors (6): 1, 3, 9, 4603, 13809, 41427.

Number

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How to work it out

  1. 1

    What is special about 41427: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    41427 is composite. Its prime factorisation is

    41427=32×460341427 = 3^{2} \times 4603
  3. 3

    The divisors add up to 59852; without 41427 itself that is 18425, so 41427 is deficient (18425 is less than 41427). Euler's totient φ(41427) = 27612 numbers up to 41427 share no factor with it.

  4. 4

    The digits of 41427 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41427 = 3^{2} \times 4603 \]

41427 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors59852
Euler totient φ(n)27612
Square1716196329
Cube71096865321483
Square root203.536238 (= 3√4603)
Digit sum / digital root18 / 9
Collatz steps to 1119
Scientific notation4.1427 × 10410^{4}

41427 in other forms

FormValue
In wordsforty-one thousand four hundred and twenty-seven
Binary (base 2)1010000111010011
Octal (base 8)120723
Hexadecimal (base 16)A1D3
Base 32002211100
As time41427 seconds = 11 h 30 min 27 s

Is 41427 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 (41427 ÷ 3 = 13809)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 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.
9Yes (41427 ÷ 9 = 4603)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 1)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 41427 a prime number?

No. 41427 = 323^{2} × 4603, so it is divisible by 3.

What are the factors of 41427?

1, 3, 9, 4603, 13809, 41427.

What is 41427 in binary?

1010000111010011 (hexadecimal A1D3, octal 120723).

What is the square root of 41427?

About 203.5362, exactly 3√4603.

Is 41427 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 41427?

41427 is a happy number: repeatedly adding the squares of its digits reaches 1.

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