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The number 87475

87475 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 3499. Divisors (6): 1, 5, 25, 3499, 17495, 87475.

Number

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How to work it out

  1. 1

    What is special about 87475: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    87475 is composite. Its prime factorisation is

    87475=52Ɨ349987475 = 5^{2} \times 3499
  3. 3

    The divisors add up to 108500; without 87475 itself that is 21025, so 87475 is deficient (21025 is less than 87475). Euler's totient φ(87475) = 69960 numbers up to 87475 share no factor with it.

  4. 4

    The digits of 87475 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87475 = 5^{2} \times 3499 \]

87475 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors108500
Euler totient φ(n)69960
Square7651875625
Cube669347820296875
Square root295.761728 (= 5√3499)
Digit sum / digital root31 / 4
Collatz steps to 1164
Scientific notation8.7475 Ɨ 10410^{4}

87475 in other forms

FormValue
In wordseighty-seven thousand four hundred and seventy-five
Binary (base 2)10101010110110011
Octal (base 8)252663
Hexadecimal (base 16)155B3
Base 311102222211
As time87475 seconds = 24 h 17 min 55 s

Is 87475 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 (87475 Ć· 5 = 17495)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 3)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 87475 a prime number?

No. 87475 = 525^{2} Ɨ 3499, so it is divisible by 5.

What are the factors of 87475?

1, 5, 25, 3499, 17495, 87475.

What is 87475 in binary?

10101010110110011 (hexadecimal 155B3, octal 252663).

What is the square root of 87475?

About 295.7617, exactly 5√3499.

Is 87475 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 87475?

87475 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    87475: is it prime? Factors, square root, binary, Roman numeral | WordGPT