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The number 56439

56439 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6271. Divisors (6): 1, 3, 9, 6271, 18813, 56439.

Number

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How to work it out

  1. 1

    What is special about 56439: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    56439 is composite. Its prime factorisation is

    56439=32×627156439 = 3^{2} \times 6271
  3. 3

    The divisors add up to 81536; without 56439 itself that is 25097, so 56439 is deficient (25097 is less than 56439). Euler's totient φ(56439) = 37620 numbers up to 56439 share no factor with it.

  4. 4

    The digits of 56439 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 56439 = 3^{2} \times 6271 \]

56439 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors81536
Euler totient φ(n)37620
Square3185360721
Cube179778573732519
Square root237.568937 (= 3√6271)
Digit sum / digital root27 / 9
Collatz steps to 1109
Scientific notation5.6439 × 10410^{4}

56439 in other forms

FormValue
In wordsfifty-six thousand four hundred and thirty-nine
Binary (base 2)1101110001110111
Octal (base 8)156167
Hexadecimal (base 16)DC77
Base 32212102100
As time56439 seconds = 15 h 40 min 39 s

Is 56439 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 (56439 ÷ 3 = 18813)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 4)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 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.
9Yes (56439 ÷ 9 = 6271)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 56439 a prime number?

No. 56439 = 323^{2} × 6271, so it is divisible by 3.

What are the factors of 56439?

1, 3, 9, 6271, 18813, 56439.

What is 56439 in binary?

1101110001110111 (hexadecimal DC77, octal 156167).

What is the square root of 56439?

About 237.5689, exactly 3√6271.

Is 56439 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 56439?

56439 is a happy number: repeatedly adding the squares of its digits reaches 1.

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