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The number 53485

53485 is a composite number with 8 divisors. Its prime factorisation is 5 × 19 × 563. Divisors (8): 1, 5, 19, 95, 563, 2815, 10697, 53485.

Number

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How to work it out

  1. 1

    What is special about 53485: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    53485 is composite. Its prime factorisation is

    53485=5×19×56353485 = 5 \times 19 \times 563
  3. 3

    The divisors add up to 67680; without 53485 itself that is 14195, so 53485 is deficient (14195 is less than 53485). Euler's totient φ(53485) = 40464 numbers up to 53485 share no factor with it.

  4. 4

    The digits of 53485 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 52 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53485 = 5 \times 19 \times 563 \]

53485 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors67680
Euler totient φ(n)40464
Square2860645225
Cube153001609859125
Square root231.268243
Digit sum / digital root25 / 7
Collatz steps to 152
Scientific notation5.3485 × 10410^{4}

53485 in other forms

FormValue
In wordsfifty-three thousand four hundred and eighty-five
Binary (base 2)1101000011101101
Octal (base 8)150355
Hexadecimal (base 16)D0ED
Base 32201100221
As time53485 seconds = 14 h 51 min 25 s

Is 53485 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (53485 ÷ 5 = 10697)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 5)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 53485 a prime number?

No. 53485 = 5 × 19 × 563, so it is divisible by 5.

What are the factors of 53485?

1, 5, 19, 95, 563, 2815, 10697, 53485.

What is 53485 in binary?

1101000011101101 (hexadecimal D0ED, octal 150355).

What is the square root of 53485?

About 231.2682.

Is 53485 divisible by 3?

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

What is special about the number 53485?

53485 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    53485: is it prime? Factors, square root, binary, Roman numeral | WordGPT