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The number 24775

24775 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 991. Divisors (6): 1, 5, 25, 991, 4955, 24775.

Number

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How to work it out

  1. 1

    What is special about 24775: a Harshad number: divisible by its digit sum 25.

  2. 2

    24775 is composite. Its prime factorisation is

    24775=52Ɨ99124775 = 5^{2} \times 991
  3. 3

    The divisors add up to 30752; without 24775 itself that is 5977, so 24775 is deficient (5977 is less than 24775). Euler's totient φ(24775) = 19800 numbers up to 24775 share no factor with it.

  4. 4

    The digits of 24775 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.

LaTeX source of the formulas on this page
\[ 24775 = 5^{2} \times 991 \]

24775 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors30752
Euler totient φ(n)19800
Square613800625
Cube15206910484375
Square root157.400762 (= 5√991)
Digit sum / digital root25 / 7
Collatz steps to 195
Scientific notation2.4775 Ɨ 10410^{4}

24775 in other forms

FormValue
In wordstwenty-four thousand seven hundred and seventy-five
Binary (base 2)110000011000111
Octal (base 8)60307
Hexadecimal (base 16)60C7
Base 31020222121
As time24775 seconds = 6 h 52 min 55 s

Is 24775 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 (24775 Ć· 5 = 4955)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 24775 a prime number?

No. 24775 = 525^{2} Ɨ 991, so it is divisible by 5.

What are the factors of 24775?

1, 5, 25, 991, 4955, 24775.

What is 24775 in binary?

110000011000111 (hexadecimal 60C7, octal 60307).

What is the square root of 24775?

About 157.4008, exactly 5√991.

Is 24775 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 24775?

24775 is a Harshad number: divisible by its digit sum 25.

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    24775: is it prime? Factors, square root, binary, Roman numeral | WordGPT