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The number 98825

98825 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 59 × 67. Divisors (12): 1, 5, 25, 59, 67, 295, 335, 1475, 1675, 3953, 19765, 98825.

Number

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How to work it out

  1. 1

    98825 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

    98825 is composite. Its prime factorisation is

    98825=52×59×6798825 = 5^{2} \times 59 \times 67
  3. 3

    The divisors add up to 126480; without 98825 itself that is 27655, so 98825 is deficient (27655 is less than 98825). Euler's totient φ(98825) = 76560 numbers up to 98825 share no factor with it.

  4. 4

    The digits of 98825 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98825 = 5^{2} \times 59 \times 67 \]

98825 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors126480
Euler totient φ(n)76560
Square9766380625
Cube965162565265625
Square root314.364438 (= 5√3953)
Digit sum / digital root32 / 5
Collatz steps to 1146
Scientific notation9.8825 × 10410^{4}

98825 in other forms

FormValue
In wordsninety-eight thousand eight hundred and twenty-five
Binary (base 2)11000001000001001
Octal (base 8)301011
Hexadecimal (base 16)18209
Base 312000120012
As time98825 seconds = 27 h 27 min 5 s

Is 98825 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (98825 ÷ 5 = 19765)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 6)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98825 a prime number?

No. 98825 = 525^{2} × 59 × 67, so it is divisible by 5.

What are the factors of 98825?

1, 5, 25, 59, 67, 295, 335, 1475, 1675, 3953, 19765, 98825.

What is 98825 in binary?

11000001000001001 (hexadecimal 18209, octal 301011).

What is the square root of 98825?

About 314.3644, exactly 5√3953.

Is 98825 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 98825?

It is a composite number with 12 divisors.

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    98825: is it prime? Factors, square root, binary, Roman numeral | WordGPT