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The number 55627

55627 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 389. Divisors (8): 1, 11, 13, 143, 389, 4279, 5057, 55627.

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How to work it out

  1. 1

    What is special about 55627: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    55627 is composite. Its prime factorisation is

    55627=11×13×38955627 = 11 \times 13 \times 389
  3. 3

    The divisors add up to 65520; without 55627 itself that is 9893, so 55627 is deficient (9893 is less than 55627). Euler's totient φ(55627) = 46560 numbers up to 55627 share no factor with it.

  4. 4

    The digits of 55627 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55627 = 11 \times 13 \times 389 \]

55627 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors65520
Euler totient φ(n)46560
Square3094363129
Cube172130137776883
Square root235.853768
Digit sum / digital root25 / 7
Collatz steps to 191
Scientific notation5.5627 × 10410^{4}

55627 in other forms

FormValue
In wordsfifty-five thousand six hundred and twenty-seven
Binary (base 2)1101100101001011
Octal (base 8)154513
Hexadecimal (base 16)D94B
Base 32211022021
As time55627 seconds = 15 h 27 min 7 s

Is 55627 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).
3No (remainder 1)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 1)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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.
11Yes (55627 ÷ 11 = 5057)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55627 a prime number?

No. 55627 = 11 × 13 × 389, so it is divisible by 11.

What are the factors of 55627?

1, 11, 13, 143, 389, 4279, 5057, 55627.

What is 55627 in binary?

1101100101001011 (hexadecimal D94B, octal 154513).

What is the square root of 55627?

About 235.8538.

Is 55627 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 55627?

55627 is a happy number: repeatedly adding the squares of its digits reaches 1.

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