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The number 41431

41431 is a composite number with 4 divisors. Its prime factorisation is 13 × 3187. Divisors (4): 1, 13, 3187, 41431.

Number

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How to work it out

  1. 1

    What is special about 41431: a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 3187, the product of two primes.

  2. 2

    41431 is composite. Its prime factorisation is

    41431=13×318741431 = 13 \times 3187
  3. 3

    The divisors add up to 44632; without 41431 itself that is 3201, so 41431 is deficient (3201 is less than 41431). Euler's totient φ(41431) = 38232 numbers up to 41431 share no factor with it.

  4. 4

    The digits of 41431 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 181 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41431 = 13 \times 3187 \]

41431 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors44632
Euler totient φ(n)38232
Square1716527761
Cube71117461665991
Square root203.546064
Digit sum / digital root13 / 4
Collatz steps to 1181
Scientific notation4.1431 × 10410^{4}

41431 in other forms

FormValue
In wordsforty-one thousand four hundred and thirty-one
Binary (base 2)1010000111010111
Octal (base 8)120727
Hexadecimal (base 16)A1D7
Base 32002211111
As time41431 seconds = 11 h 30 min 31 s

Is 41431 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 1)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 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 7)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 41431 a prime number?

No. 41431 = 13 × 3187, so it is divisible by 13.

What are the factors of 41431?

1, 13, 3187, 41431.

What is 41431 in binary?

1010000111010111 (hexadecimal A1D7, octal 120727).

What is the square root of 41431?

About 203.5461.

Is 41431 divisible by 3?

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

What is special about the number 41431?

41431 is a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 3187, the product of two primes.

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