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The number 23987

23987 is a composite number with 6 divisors. Its prime factorisation is 17217^{2} Ɨ 83. Divisors (6): 1, 17, 83, 289, 1411, 23987.

Number

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How to work it out

  1. 1

    23987 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    23987 is composite. Its prime factorisation is

    23987=172Ɨ8323987 = 17^{2} \times 83
  3. 3

    The divisors add up to 25788; without 23987 itself that is 1801, so 23987 is deficient (1801 is less than 23987). Euler's totient φ(23987) = 22304 numbers up to 23987 share no factor with it.

  4. 4

    The digits of 23987 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.

LaTeX source of the formulas on this page
\[ 23987 = 17^{2} \times 83 \]

23987 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors25788
Euler totient φ(n)22304
Square575376169
Cube13801548165803
Square root154.877371 (= 17√83)
Digit sum / digital root29 / 2
Collatz steps to 151
Scientific notation2.3987 Ɨ 10410^{4}

23987 in other forms

FormValue
In wordstwenty-three thousand nine hundred and eighty-seven
Binary (base 2)101110110110011
Octal (base 8)56663
Hexadecimal (base 16)5DB3
Base 31012220102
As time23987 seconds = 6 h 39 min 47 s

Is 23987 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 3)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 3)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 23987 a prime number?

No. 23987 = 17217^{2} Ɨ 83, so it is divisible by 17.

What are the factors of 23987?

1, 17, 83, 289, 1411, 23987.

What is 23987 in binary?

101110110110011 (hexadecimal 5DB3, octal 56663).

What is the square root of 23987?

About 154.8774, exactly 17√83.

Is 23987 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 23987?

It is a composite number with 6 divisors.

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    23987: is it prime? Factors, square root, binary, Roman numeral | WordGPT