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The number 51027

51027 is a composite number with 8 divisors. Its prime factorisation is 3 × 73 × 233. Divisors (8): 1, 3, 73, 219, 233, 699, 17009, 51027.

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How to work it out

  1. 1

    What is special about 51027: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    51027 is composite. Its prime factorisation is

    51027=3×73×23351027 = 3 \times 73 \times 233
  3. 3

    The divisors add up to 69264; without 51027 itself that is 18237, so 51027 is deficient (18237 is less than 51027). Euler's totient φ(51027) = 33408 numbers up to 51027 share no factor with it.

  4. 4

    The digits of 51027 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 202 steps to reach 1.

LaTeX source of the formulas on this page
\[ 51027 = 3 \times 73 \times 233 \]

51027 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors69264
Euler totient φ(n)33408
Square2603754729
Cube132861792556683
Square root225.891567
Digit sum / digital root15 / 6
Collatz steps to 1202
Scientific notation5.1027 × 10410^{4}

51027 in other forms

FormValue
In wordsfifty-one thousand and twenty-seven
Binary (base 2)1100011101010011
Octal (base 8)143523
Hexadecimal (base 16)C753
Base 32120222220
As time51027 seconds = 14 h 10 min 27 s

Is 51027 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 (51027 ÷ 3 = 17009)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 2)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 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.
8No (remainder 3)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 7)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 51027 a prime number?

No. 51027 = 3 × 73 × 233, so it is divisible by 3.

What are the factors of 51027?

1, 3, 73, 219, 233, 699, 17009, 51027.

What is 51027 in binary?

1100011101010011 (hexadecimal C753, octal 143523).

What is the square root of 51027?

About 225.8916.

Is 51027 divisible by 3?

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

What is special about the number 51027?

51027 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    51027: is it prime? Factors, square root, binary, Roman numeral | WordGPT