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The number 24115

24115 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 13 × 53. Divisors (16): 1, 5, 7, 13, 35, 53, 65, 91, 265, 371, 455, 689, 1855, 3445, 4823, 24115.

Number

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How to work it out

  1. 1

    What is special about 24115: a Harshad number: divisible by its digit sum 13.

  2. 2

    24115 is composite. Its prime factorisation is

    24115=5×7×13×5324115 = 5 \times 7 \times 13 \times 53
  3. 3

    The divisors add up to 36288; without 24115 itself that is 12173, so 24115 is deficient (12173 is less than 24115). Euler's totient φ(24115) = 14976 numbers up to 24115 share no factor with it.

  4. 4

    The digits of 24115 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 188 steps to reach 1.

LaTeX source of the formulas on this page
\[ 24115 = 5 \times 7 \times 13 \times 53 \]

24115 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors36288
Euler totient φ(n)14976
Square581533225
Cube14023673720875
Square root155.290051
Digit sum / digital root13 / 4
Collatz steps to 1188
Scientific notation2.4115 × 10410^{4}

24115 in other forms

FormValue
In wordstwenty-four thousand one hundred and fifteen
Binary (base 2)101111000110011
Octal (base 8)57063
Hexadecimal (base 16)5E33
Base 31020002011
As time24115 seconds = 6 h 41 min 55 s

Is 24115 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (24115 ÷ 5 = 4823)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.
7Yes (24115 ÷ 7 = 3445)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24115 a prime number?

No. 24115 = 5 × 7 × 13 × 53, so it is divisible by 5.

What are the factors of 24115?

1, 5, 7, 13, 35, 53, 65, 91, 265, 371, 455, 689, 1855, 3445, 4823, 24115.

What is 24115 in binary?

101111000110011 (hexadecimal 5E33, octal 57063).

What is the square root of 24115?

About 155.2901.

Is 24115 divisible by 3?

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

What is special about the number 24115?

24115 is a Harshad number: divisible by its digit sum 13.

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    24115: is it prime? Factors, square root, binary, Roman numeral | WordGPT