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The number 4975

4975 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 199. Divisors (6): 1, 5, 25, 199, 995, 4975.

Number

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How to work it out

  1. 1

    What is special about 4975: a Harshad number: divisible by its digit sum 25.

  2. 2

    4975 is composite. Its prime factorisation is

    4975=52Ɨ1994975 = 5^{2} \times 199
  3. 3

    The divisors add up to 6200; without 4975 itself that is 1225, so 4975 is deficient (1225 is less than 4975). Euler's totient φ(4975) = 3960 numbers up to 4975 share no factor with it.

  4. 4

    The digits of 4975 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 72 steps to reach 1.

LaTeX source of the formulas on this page
\[ 4975 = 5^{2} \times 199 \]

4975 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors6200
Euler totient φ(n)3960
Square24750625
Cube123134359375
Square root70.533680 (= 5√199)
Digit sum / digital root25 / 7
Collatz steps to 172
Scientific notation4.975 Ɨ 10310^{3}

4975 in other forms

FormValue
In wordsfour thousand nine hundred and seventy-five
Binary (base 2)1001101101111
Octal (base 8)11557
Hexadecimal (base 16)136F
Base 320211021
As time4975 seconds = 1 h 22 min 55 s

Is 4975 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 (4975 Ć· 5 = 995)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 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 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 4975 a prime number?

No. 4975 = 525^{2} Ɨ 199, so it is divisible by 5.

What are the factors of 4975?

1, 5, 25, 199, 995, 4975.

What is 4975 in binary?

1001101101111 (hexadecimal 136F, octal 11557).

What is the square root of 4975?

About 70.5337, exactly 5√199.

Is 4975 divisible by 3?

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

What is special about the number 4975?

4975 is a Harshad number: divisible by its digit sum 25.

All about 4975

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    4975: is it prime? Factors, square root, binary, Roman numeral | WordGPT