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The number 23701

23701 is a composite number with 4 divisors. Its prime factorisation is 137 × 173. Divisors (4): 1, 137, 173, 23701.

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How to work it out

  1. 1

    What is special about 23701: a semiprime: 137 × 173, the product of two primes.

  2. 2

    23701 is composite. Its prime factorisation is

    23701=137×17323701 = 137 \times 173
  3. 3

    The divisors add up to 24012; without 23701 itself that is 311, so 23701 is deficient (311 is less than 23701). Euler's totient φ(23701) = 23392 numbers up to 23701 share no factor with it.

  4. 4

    The digits of 23701 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.

LaTeX source of the formulas on this page
\[ 23701 = 137 \times 173 \]

23701 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors24012
Euler totient φ(n)23392
Square561737401
Cube13313738141101
Square root153.951291
Digit sum / digital root13 / 4
Collatz steps to 138
Scientific notation2.3701 × 10410^{4}

23701 in other forms

FormValue
In wordstwenty-three thousand seven hundred and one
Binary (base 2)101110010010101
Octal (base 8)56225
Hexadecimal (base 16)5C95
Base 31012111211
As time23701 seconds = 6 h 35 min 1 s

Is 23701 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 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 4)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 23701 a prime number?

No. 23701 = 137 × 173, so it is divisible by 137.

What are the factors of 23701?

1, 137, 173, 23701.

What is 23701 in binary?

101110010010101 (hexadecimal 5C95, octal 56225).

What is the square root of 23701?

About 153.9513.

Is 23701 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 23701?

23701 is a semiprime: 137 × 173, the product of two primes.

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    23701: is it prime? Factors, square root, binary, Roman numeral | WordGPT