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The number 98267

98267 is a composite number with 4 divisors. Its prime factorisation is 13 × 7559. Divisors (4): 1, 13, 7559, 98267.

Number

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How to work it out

  1. 1

    What is special about 98267: a semiprime: 13 × 7559, the product of two primes.

  2. 2

    98267 is composite. Its prime factorisation is

    98267=13×755998267 = 13 \times 7559
  3. 3

    The divisors add up to 105840; without 98267 itself that is 7573, so 98267 is deficient (7573 is less than 98267). Euler's totient φ(98267) = 90696 numbers up to 98267 share no factor with it.

  4. 4

    The digits of 98267 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 265 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98267 = 13 \times 7559 \]

98267 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors105840
Euler totient φ(n)90696
Square9656403289
Cube948905782000163
Square root313.475677
Digit sum / digital root32 / 5
Collatz steps to 1265
Scientific notation9.8267 × 10410^{4}

98267 in other forms

FormValue
In wordsninety-eight thousand two hundred and sixty-seven
Binary (base 2)10111111111011011
Octal (base 8)277733
Hexadecimal (base 16)17FDB
Base 311222210112
As time98267 seconds = 27 h 17 min 47 s

Is 98267 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 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 3)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 98267 a prime number?

No. 98267 = 13 × 7559, so it is divisible by 13.

What are the factors of 98267?

1, 13, 7559, 98267.

What is 98267 in binary?

10111111111011011 (hexadecimal 17FDB, octal 277733).

What is the square root of 98267?

About 313.4757.

Is 98267 divisible by 3?

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

What is special about the number 98267?

98267 is a semiprime: 13 × 7559, the product of two primes.

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    98267: is it prime? Factors, square root, binary, Roman numeral | WordGPT