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The number 57431

57431 is a composite number with 8 divisors. Its prime factorisation is 11 × 23 × 227. Divisors (8): 1, 11, 23, 227, 253, 2497, 5221, 57431.

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How to work it out

  1. 1

    What is special about 57431: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    57431 is composite. Its prime factorisation is

    57431=11×23×22757431 = 11 \times 23 \times 227
  3. 3

    The divisors add up to 65664; without 57431 itself that is 8233, so 57431 is deficient (8233 is less than 57431). Euler's totient φ(57431) = 49720 numbers up to 57431 share no factor with it.

  4. 4

    The digits of 57431 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.

LaTeX source of the formulas on this page
\[ 57431 = 11 \times 23 \times 227 \]

57431 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors65664
Euler totient φ(n)49720
Square3298319761
Cube189425802193991
Square root239.647658
Digit sum / digital root20 / 2
Collatz steps to 1197
Scientific notation5.7431 × 10410^{4}

57431 in other forms

FormValue
In wordsfifty-seven thousand four hundred and thirty-one
Binary (base 2)1110000001010111
Octal (base 8)160127
Hexadecimal (base 16)E057
Base 32220210002
As time57431 seconds = 15 h 57 min 11 s

Is 57431 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 2)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.
11Yes (57431 ÷ 11 = 5221)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 57431 a prime number?

No. 57431 = 11 × 23 × 227, so it is divisible by 11.

What are the factors of 57431?

1, 11, 23, 227, 253, 2497, 5221, 57431.

What is 57431 in binary?

1110000001010111 (hexadecimal E057, octal 160127).

What is the square root of 57431?

About 239.6477.

Is 57431 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 57431?

57431 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    57431: is it prime? Factors, square root, binary, Roman numeral | WordGPT