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The number 23601

23601 is a composite number with 4 divisors. Its prime factorisation is 3 × 7867. Divisors (4): 1, 3, 7867, 23601.

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How to work it out

  1. 1

    What is special about 23601: a semiprime: 3 × 7867, the product of two primes.

  2. 2

    23601 is composite. Its prime factorisation is

    23601=3×786723601 = 3 \times 7867
  3. 3

    The divisors add up to 31472; without 23601 itself that is 7871, so 23601 is deficient (7871 is less than 23601). Euler's totient φ(23601) = 15732 numbers up to 23601 share no factor with it.

  4. 4

    The digits of 23601 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.

LaTeX source of the formulas on this page
\[ 23601 = 3 \times 7867 \]

23601 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors31472
Euler totient φ(n)15732
Square557007201
Cube13145926950801
Square root153.626170
Digit sum / digital root12 / 3
Collatz steps to 151
Scientific notation2.3601 × 10410^{4}

23601 in other forms

FormValue
In wordstwenty-three thousand six hundred and one
Binary (base 2)101110000110001
Octal (base 8)56061
Hexadecimal (base 16)5C31
Base 31012101010
As time23601 seconds = 6 h 33 min 21 s

Is 23601 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 (23601 ÷ 3 = 7867)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 3)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 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 23601 a prime number?

No. 23601 = 3 × 7867, so it is divisible by 3.

What are the factors of 23601?

1, 3, 7867, 23601.

What is 23601 in binary?

101110000110001 (hexadecimal 5C31, octal 56061).

What is the square root of 23601?

About 153.6262.

Is 23601 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 23601?

23601 is a semiprime: 3 × 7867, the product of two primes.

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