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The number 23501

23501 is a composite number with 4 divisors. Its prime factorisation is 71 × 331. Divisors (4): 1, 71, 331, 23501.

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How to work it out

  1. 1

    What is special about 23501: a semiprime: 71 × 331, the product of two primes.

  2. 2

    23501 is composite. Its prime factorisation is

    23501=71×33123501 = 71 \times 331
  3. 3

    The divisors add up to 23904; without 23501 itself that is 403, so 23501 is deficient (403 is less than 23501). Euler's totient φ(23501) = 23100 numbers up to 23501 share no factor with it.

  4. 4

    The digits of 23501 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.

LaTeX source of the formulas on this page
\[ 23501 = 71 \times 331 \]

23501 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors23904
Euler totient φ(n)23100
Square552297001
Cube12979531820501
Square root153.300359
Digit sum / digital root11 / 2
Collatz steps to 156
Scientific notation2.3501 × 10410^{4}

23501 in other forms

FormValue
In wordstwenty-three thousand five hundred and one
Binary (base 2)101101111001101
Octal (base 8)55715
Hexadecimal (base 16)5BCD
Base 31012020102
As time23501 seconds = 6 h 31 min 41 s

Is 23501 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 1)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 5)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 23501 a prime number?

No. 23501 = 71 × 331, so it is divisible by 71.

What are the factors of 23501?

1, 71, 331, 23501.

What is 23501 in binary?

101101111001101 (hexadecimal 5BCD, octal 55715).

What is the square root of 23501?

About 153.3004.

Is 23501 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 23501?

23501 is a semiprime: 71 × 331, the product of two primes.

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    23501: is it prime? Factors, square root, binary, Roman numeral | WordGPT