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The number 54466

54466 is a composite number with 8 divisors. Its prime factorisation is 2 × 113 × 241. Divisors (8): 1, 2, 113, 226, 241, 482, 27233, 54466.

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How to work it out

  1. 1

    What is special about 54466: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    54466 is composite. Its prime factorisation is

    54466=2×113×24154466 = 2 \times 113 \times 241
  3. 3

    The divisors add up to 82764; without 54466 itself that is 28298, so 54466 is deficient (28298 is less than 54466). Euler's totient φ(54466) = 26880 numbers up to 54466 share no factor with it.

  4. 4

    The digits of 54466 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 184 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54466 = 2 \times 113 \times 241 \]

54466 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors82764
Euler totient φ(n)26880
Square2966545156
Cube161575848466696
Square root233.379519
Digit sum / digital root25 / 7
Collatz steps to 1184
Scientific notation5.4466 × 10410^{4}

54466 in other forms

FormValue
In wordsfifty-four thousand four hundred and sixty-six
Binary (base 2)1101010011000010
Octal (base 8)152302
Hexadecimal (base 16)D4C2
Base 32202201021
As time54466 seconds = 15 h 7 min 46 s

Is 54466 divisible by 2 to 12?

DivisorAnswerRule
2Yes (54466 ÷ 2 = 27233)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 2)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 6)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54466 a prime number?

No. 54466 = 2 × 113 × 241, so it is divisible by 2.

What are the factors of 54466?

1, 2, 113, 226, 241, 482, 27233, 54466.

What is 54466 in binary?

1101010011000010 (hexadecimal D4C2, octal 152302).

What is the square root of 54466?

About 233.3795.

Is 54466 divisible by 3?

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

What is special about the number 54466?

54466 is a happy number: repeatedly adding the squares of its digits reaches 1.

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