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The number 90113

90113 is a composite number with 4 divisors. Its prime factorisation is 97 × 929. Divisors (4): 1, 97, 929, 90113.

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How to work it out

  1. 1

    What is special about 90113: a semiprime: 97 × 929, the product of two primes.

  2. 2

    90113 is composite. Its prime factorisation is

    90113=97×92990113 = 97 \times 929
  3. 3

    The divisors add up to 91140; without 90113 itself that is 1027, so 90113 is deficient (1027 is less than 90113). Euler's totient φ(90113) = 89088 numbers up to 90113 share no factor with it.

  4. 4

    The digits of 90113 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.

LaTeX source of the formulas on this page
\[ 90113 = 97 \times 929 \]

90113 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors91140
Euler totient φ(n)89088
Square8120352769
Cube731749349072897
Square root300.188274
Digit sum / digital root14 / 5
Collatz steps to 1115
Scientific notation9.0113 × 10410^{4}

90113 in other forms

FormValue
In wordsninety thousand one hundred and thirteen
Binary (base 2)10110000000000001
Octal (base 8)260001
Hexadecimal (base 16)16001
Base 311120121112
As time90113 seconds = 25 h 1 min 53 s

Is 90113 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.
5No (remainder 3)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 2)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 3)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 90113 a prime number?

No. 90113 = 97 × 929, so it is divisible by 97.

What are the factors of 90113?

1, 97, 929, 90113.

What is 90113 in binary?

10110000000000001 (hexadecimal 16001, octal 260001).

What is the square root of 90113?

About 300.1883.

Is 90113 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 90113?

90113 is a semiprime: 97 × 929, the product of two primes.

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