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The number 90137

90137 is a composite number with 4 divisors. Its prime factorisation is 23 × 3919. Divisors (4): 1, 23, 3919, 90137.

Number

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How to work it out

  1. 1

    What is special about 90137: a semiprime: 23 × 3919, the product of two primes.

  2. 2

    90137 is composite. Its prime factorisation is

    90137=23×391990137 = 23 \times 3919
  3. 3

    The divisors add up to 94080; without 90137 itself that is 3943, so 90137 is deficient (3943 is less than 90137). Euler's totient φ(90137) = 86196 numbers up to 90137 share no factor with it.

  4. 4

    The digits of 90137 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.

LaTeX source of the formulas on this page
\[ 90137 = 23 \times 3919 \]

90137 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors94080
Euler totient φ(n)86196
Square8124678769
Cube732334170201353
Square root300.228247
Digit sum / digital root20 / 2
Collatz steps to 189
Scientific notation9.0137 × 10410^{4}

90137 in other forms

FormValue
In wordsninety thousand one hundred and thirty-seven
Binary (base 2)10110000000011001
Octal (base 8)260031
Hexadecimal (base 16)16019
Base 311120122102
As time90137 seconds = 25 h 2 min 17 s

Is 90137 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 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 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 2)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 3)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 90137 a prime number?

No. 90137 = 23 × 3919, so it is divisible by 23.

What are the factors of 90137?

1, 23, 3919, 90137.

What is 90137 in binary?

10110000000011001 (hexadecimal 16019, octal 260031).

What is the square root of 90137?

About 300.2282.

Is 90137 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 90137?

90137 is a semiprime: 23 × 3919, the product of two primes.

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