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The number 55487

55487 is the 5632nd prime number. Its only divisors are 1 and 55487.

Number

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How to work it out

  1. 1

    What is special about 55487: the 5632nd prime number.

  2. 2

    55487 is prime, so its only factors are 1 and 55487. It is the 5632nd prime; the next prime is 55501 and the one before is 55469.

  3. 3

    The divisors add up to 55488; without 55487 itself that is 1, so 55487 is deficient (1 is less than 55487). Euler's totient φ(55487) = 55486 numbers up to 55487 share no factor with it.

  4. 4

    The digits of 55487 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.

55487 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors55488
Euler totient φ(n)55486
Square3078807169
Cube170833773386303
Square root235.556787
Digit sum / digital root29 / 2
Collatz steps to 1184
Scientific notation5.5487 × 10410^{4}

55487 in other forms

FormValue
In wordsfifty-five thousand four hundred and eighty-seven
Binary (base 2)1101100010111111
Octal (base 8)154277
Hexadecimal (base 16)D8BF
Base 32211010002
As time55487 seconds = 15 h 24 min 47 s

Is 55487 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 2)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 5)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55487 a prime number?

Yes. 55487 is divisible only by 1 and itself.

What are the factors of 55487?

1, 55487.

What is 55487 in binary?

1101100010111111 (hexadecimal D8BF, octal 154277).

What is the square root of 55487?

About 235.5568.

Is 55487 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 55487?

55487 is the 5632nd prime number.

All about 55487

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    55487: is it prime? Factors, square root, binary, Roman numeral | WordGPT