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The number 84988

84988 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 21247. Divisors (6): 1, 2, 4, 21247, 42494, 84988.

Number

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How to work it out

  1. 1

    84988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    84988 is composite. Its prime factorisation is

    84988=22×2124784988 = 2^{2} \times 21247
  3. 3

    The divisors add up to 148736; without 84988 itself that is 63748, so 84988 is deficient (63748 is less than 84988). Euler's totient φ(84988) = 42492 numbers up to 84988 share no factor with it.

  4. 4

    The digits of 84988 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.

LaTeX source of the formulas on this page
\[ 84988 = 2^{2} \times 21247 \]

84988 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors148736
Euler totient φ(n)42492
Square7222960144
Cube613864936718272
Square root291.527014 (= 2√21247)
Digit sum / digital root37 / 1
Collatz steps to 1151
Scientific notation8.4988 × 10410^{4}

84988 in other forms

FormValue
In wordseighty-four thousand nine hundred and eighty-eight
Binary (base 2)10100101111111100
Octal (base 8)245774
Hexadecimal (base 16)14BFC
Base 311022120201
As time84988 seconds = 23 h 36 min 28 s

Is 84988 divisible by 2 to 12?

DivisorAnswerRule
2Yes (84988 ÷ 2 = 42494)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.
4Yes (84988 ÷ 4 = 21247)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 84988 a prime number?

No. 84988 = 222^{2} × 21247, so it is divisible by 2.

What are the factors of 84988?

1, 2, 4, 21247, 42494, 84988.

What is 84988 in binary?

10100101111111100 (hexadecimal 14BFC, octal 245774).

What is the square root of 84988?

About 291.5270, exactly 2√21247.

Is 84988 divisible by 3?

No. Its digits add up to 37, which is not a multiple of 3.

What is special about the number 84988?

It is a composite number with 6 divisors.

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    84988: is it prime? Factors, square root, binary, Roman numeral | WordGPT