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The number 88491

88491 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 2269. Divisors (8): 1, 3, 13, 39, 2269, 6807, 29497, 88491.

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How to work it out

  1. 1

    What is special about 88491: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    88491 is composite. Its prime factorisation is

    88491=3×13×226988491 = 3 \times 13 \times 2269
  3. 3

    The divisors add up to 127120; without 88491 itself that is 38629, so 88491 is deficient (38629 is less than 88491). Euler's totient φ(88491) = 54432 numbers up to 88491 share no factor with it.

  4. 4

    The digits of 88491 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page
\[ 88491 = 3 \times 13 \times 2269 \]

88491 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors127120
Euler totient φ(n)54432
Square7830657081
Cube692942675754771
Square root297.474369
Digit sum / digital root30 / 3
Collatz steps to 1102
Scientific notation8.8491 × 10410^{4}

88491 in other forms

FormValue
In wordseighty-eight thousand four hundred and ninety-one
Binary (base 2)10101100110101011
Octal (base 8)254653
Hexadecimal (base 16)159AB
Base 311111101110
As time88491 seconds = 24 h 34 min 51 s

Is 88491 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).
3Yes (88491 ÷ 3 = 29497)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 88491 a prime number?

No. 88491 = 3 × 13 × 2269, so it is divisible by 3.

What are the factors of 88491?

1, 3, 13, 39, 2269, 6807, 29497, 88491.

What is 88491 in binary?

10101100110101011 (hexadecimal 159AB, octal 254653).

What is the square root of 88491?

About 297.4744.

Is 88491 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 88491?

88491 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    88491: is it prime? Factors, square root, binary, Roman numeral | WordGPT