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The number 54627

54627 is a composite number with 8 divisors. Its prime factorisation is 3 × 131 × 139. Divisors (8): 1, 3, 131, 139, 393, 417, 18209, 54627.

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How to work it out

  1. 1

    What is special about 54627: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    54627 is composite. Its prime factorisation is

    54627=3×131×13954627 = 3 \times 131 \times 139
  3. 3

    The divisors add up to 73920; without 54627 itself that is 19293, so 54627 is deficient (19293 is less than 54627). Euler's totient φ(54627) = 35880 numbers up to 54627 share no factor with it.

  4. 4

    The digits of 54627 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54627 = 3 \times 131 \times 139 \]

54627 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors73920
Euler totient φ(n)35880
Square2984109129
Cube163012929389883
Square root233.724196
Digit sum / digital root24 / 6
Collatz steps to 147
Scientific notation5.4627 × 10410^{4}

54627 in other forms

FormValue
In wordsfifty-four thousand six hundred and twenty-seven
Binary (base 2)1101010101100011
Octal (base 8)152543
Hexadecimal (base 16)D563
Base 32202221020
As time54627 seconds = 15 h 10 min 27 s

Is 54627 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 (54627 ÷ 3 = 18209)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 6)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 1)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 54627 a prime number?

No. 54627 = 3 × 131 × 139, so it is divisible by 3.

What are the factors of 54627?

1, 3, 131, 139, 393, 417, 18209, 54627.

What is 54627 in binary?

1101010101100011 (hexadecimal D563, octal 152543).

What is the square root of 54627?

About 233.7242.

Is 54627 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 54627?

54627 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    54627: is it prime? Factors, square root, binary, Roman numeral | WordGPT