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The number 50715

50715 is a composite number with 36 divisors. Its prime factorisation is 323^{2} × 5 × 727^{2} × 23. Divisors (36): 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 49, 63, 69, 105, 115, 147 … 50715.

Number

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How to work it out

  1. 1

    What is special about 50715: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    50715 is composite. Its prime factorisation is

    50715=32×5×72×2350715 = 3^{2} \times 5 \times 7^{2} \times 23
  3. 3

    The divisors add up to 106704; without 50715 itself that is 55989, so 50715 is abundant (55989 is more than 50715). Euler's totient φ(50715) = 22176 numbers up to 50715 share no factor with it.

  4. 4

    The digits of 50715 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 171 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50715 = 3^{2} \times 5 \times 7^{2} \times 23 \]

50715 at a glance

PropertyValue
Typecomposite
Number of divisors36
Sum of divisors106704
Euler totient φ(n)22176
Square2572011225
Cube130439549275875
Square root225.199911 (= 21√115)
Digit sum / digital root18 / 9
Collatz steps to 1171
Scientific notation5.0715 × 10410^{4}

50715 in other forms

FormValue
In wordsfifty thousand seven hundred and fifteen
Binary (base 2)1100011000011011
Octal (base 8)143033
Hexadecimal (base 16)C61B
Base 32120120100
As time50715 seconds = 14 h 5 min 15 s

Is 50715 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 (50715 ÷ 3 = 16905)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.
5Yes (50715 ÷ 5 = 10143)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.
7Yes (50715 ÷ 7 = 7245)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 (50715 ÷ 9 = 5635)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50715 a prime number?

No. 50715 = 323^{2} × 5 × 727^{2} × 23, so it is divisible by 3.

What are the factors of 50715?

1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 49, 63, 69, 105, 115, 147, 161, 207, 245, 315, 345, 441, 483, 735, 805, 1035, 1127, 1449, 2205, 2415, 3381, 5635, 7245, 10143, 16905, 50715.

What is 50715 in binary?

1100011000011011 (hexadecimal C61B, octal 143033).

What is the square root of 50715?

About 225.1999, exactly 21√115.

Is 50715 divisible by 3?

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

What is special about the number 50715?

50715 is a happy number: repeatedly adding the squares of its digits reaches 1.

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