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The number 23073

23073 is a composite number with 4 divisors. Its prime factorisation is 3 × 7691. Divisors (4): 1, 3, 7691, 23073.

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How to work it out

  1. 1

    What is special about 23073: a semiprime: 3 × 7691, the product of two primes.

  2. 2

    23073 is composite. Its prime factorisation is

    23073=3×769123073 = 3 \times 7691
  3. 3

    The divisors add up to 30768; without 23073 itself that is 7695, so 23073 is deficient (7695 is less than 23073). Euler's totient φ(23073) = 15380 numbers up to 23073 share no factor with it.

  4. 4

    The digits of 23073 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.

LaTeX source of the formulas on this page
\[ 23073 = 3 \times 7691 \]

23073 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors30768
Euler totient φ(n)15380
Square532363329
Cube12283219090017
Square root151.897992
Digit sum / digital root15 / 6
Collatz steps to 156
Scientific notation2.3073 × 10410^{4}

23073 in other forms

FormValue
In wordstwenty-three thousand and seventy-three
Binary (base 2)101101000100001
Octal (base 8)55041
Hexadecimal (base 16)5A21
Base 31011122120
As time23073 seconds = 6 h 24 min 33 s

Is 23073 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).
3Yes (23073 ÷ 3 = 7691)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 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 23073 a prime number?

No. 23073 = 3 × 7691, so it is divisible by 3.

What are the factors of 23073?

1, 3, 7691, 23073.

What is 23073 in binary?

101101000100001 (hexadecimal 5A21, octal 55041).

What is the square root of 23073?

About 151.8980.

Is 23073 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 23073?

23073 is a semiprime: 3 × 7691, the product of two primes.

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    23073: is it prime? Factors, square root, binary, Roman numeral | WordGPT