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The number 55462

55462 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2521. Divisors (8): 1, 2, 11, 22, 2521, 5042, 27731, 55462.

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How to work it out

  1. 1

    What is special about 55462: a Harshad number: divisible by its digit sum 22.

  2. 2

    55462 is composite. Its prime factorisation is

    55462=2×11×252155462 = 2 \times 11 \times 2521
  3. 3

    The divisors add up to 90792; without 55462 itself that is 35330, so 55462 is deficient (35330 is less than 55462). Euler's totient φ(55462) = 25200 numbers up to 55462 share no factor with it.

  4. 4

    The digits of 55462 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55462 = 2 \times 11 \times 2521 \]

55462 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors90792
Euler totient φ(n)25200
Square3076033444
Cube170602966871128
Square root235.503715
Digit sum / digital root22 / 4
Collatz steps to 191
Scientific notation5.5462 × 10410^{4}

55462 in other forms

FormValue
In wordsfifty-five thousand four hundred and sixty-two
Binary (base 2)1101100010100110
Octal (base 8)154246
Hexadecimal (base 16)D8A6
Base 32211002011
As time55462 seconds = 15 h 24 min 22 s

Is 55462 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55462 ÷ 2 = 27731)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 2)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 1)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11Yes (55462 ÷ 11 = 5042)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 55462 a prime number?

No. 55462 = 2 × 11 × 2521, so it is divisible by 2.

What are the factors of 55462?

1, 2, 11, 22, 2521, 5042, 27731, 55462.

What is 55462 in binary?

1101100010100110 (hexadecimal D8A6, octal 154246).

What is the square root of 55462?

About 235.5037.

Is 55462 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 55462?

55462 is a Harshad number: divisible by its digit sum 22.

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    55462: is it prime? Factors, square root, binary, Roman numeral | WordGPT