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The number 50712

50712 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 3 × 2113. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2113, 4226, 6339, 8452, 12678, 16904, 25356, 50712.

Number

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How to work it out

  1. 1

    What is special about 50712: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    50712 is composite. Its prime factorisation is

    50712=23×3×211350712 = 2^{3} \times 3 \times 2113
  3. 3

    The divisors add up to 126840; without 50712 itself that is 76128, so 50712 is abundant (76128 is more than 50712). Euler's totient φ(50712) = 16896 numbers up to 50712 share no factor with it.

  4. 4

    The digits of 50712 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50712 = 2^{3} \times 3 \times 2113 \]

50712 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors126840
Euler totient φ(n)16896
Square2571706944
Cube130416402544128
Square root225.193250 (= 2√12678)
Digit sum / digital root15 / 6
Collatz steps to 157
Scientific notation5.0712 × 10410^{4}

50712 in other forms

FormValue
In wordsfifty thousand seven hundred and twelve
Binary (base 2)1100011000011000
Octal (base 8)143030
Hexadecimal (base 16)C618
Base 32120120020
As time50712 seconds = 14 h 5 min 12 s

Is 50712 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50712 ÷ 2 = 25356)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (50712 ÷ 3 = 16904)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (50712 ÷ 4 = 12678)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.
6Yes (50712 ÷ 6 = 8452)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (50712 ÷ 8 = 6339)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12Yes (50712 ÷ 12 = 4226)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50712 a prime number?

No. 50712 = 232^{3} × 3 × 2113, so it is divisible by 2.

What are the factors of 50712?

1, 2, 3, 4, 6, 8, 12, 24, 2113, 4226, 6339, 8452, 12678, 16904, 25356, 50712.

What is 50712 in binary?

1100011000011000 (hexadecimal C618, octal 143030).

What is the square root of 50712?

About 225.1933, exactly 2√12678.

Is 50712 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 50712?

50712 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    50712: is it prime? Factors, square root, binary, Roman numeral | WordGPT