WordGPT

The number 98425

98425 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 31 × 127. Divisors (12): 1, 5, 25, 31, 127, 155, 635, 775, 3175, 3937, 19685, 98425.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 98425: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    98425 is composite. Its prime factorisation is

    98425=52×31×12798425 = 5^{2} \times 31 \times 127
  3. 3

    The divisors add up to 126976; without 98425 itself that is 28551, so 98425 is deficient (28551 is less than 98425). Euler's totient φ(98425) = 75600 numbers up to 98425 share no factor with it.

  4. 4

    The digits of 98425 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98425 = 5^{2} \times 31 \times 127 \]

98425 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors126976
Euler totient φ(n)75600
Square9687480625
Cube953490280515625
Square root313.727589 (= 5√3937)
Digit sum / digital root28 / 1
Collatz steps to 1221
Scientific notation9.8425 × 10410^{4}

98425 in other forms

FormValue
In wordsninety-eight thousand four hundred and twenty-five
Binary (base 2)11000000001111001
Octal (base 8)300171
Hexadecimal (base 16)18079
Base 312000000101
As time98425 seconds = 27 h 20 min 25 s

Is 98425 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 (98425 ÷ 5 = 19685)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 1)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 98425 a prime number?

No. 98425 = 525^{2} × 31 × 127, so it is divisible by 5.

What are the factors of 98425?

1, 5, 25, 31, 127, 155, 635, 775, 3175, 3937, 19685, 98425.

What is 98425 in binary?

11000000001111001 (hexadecimal 18079, octal 300171).

What is the square root of 98425?

About 313.7276, exactly 5√3937.

Is 98425 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 98425?

98425 is a happy number: repeatedly adding the squares of its digits reaches 1.

Find the next one

Nearby numbers

    98425: is it prime? Factors, square root, binary, Roman numeral | WordGPT