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The number 78475

78475 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 43 × 73. Divisors (12): 1, 5, 25, 43, 73, 215, 365, 1075, 1825, 3139, 15695, 78475.

Number

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How to work it out

  1. 1

    What is special about 78475: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    78475 is composite. Its prime factorisation is

    78475=52×43×7378475 = 5^{2} \times 43 \times 73
  3. 3

    The divisors add up to 100936; without 78475 itself that is 22461, so 78475 is deficient (22461 is less than 78475). Euler's totient φ(78475) = 60480 numbers up to 78475 share no factor with it.

  4. 4

    The digits of 78475 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 107 steps to reach 1.

LaTeX source of the formulas on this page
\[ 78475 = 5^{2} \times 43 \times 73 \]

78475 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors100936
Euler totient φ(n)60480
Square6158325625
Cube483274603421875
Square root280.133897 (= 5√3139)
Digit sum / digital root31 / 4
Collatz steps to 1107
Scientific notation7.8475 × 10410^{4}

78475 in other forms

FormValue
In wordsseventy-eight thousand four hundred and seventy-five
Binary (base 2)10011001010001011
Octal (base 8)231213
Hexadecimal (base 16)1328B
Base 310222122111
As time78475 seconds = 21 h 47 min 55 s

Is 78475 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 (78475 ÷ 5 = 15695)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 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 1)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 78475 a prime number?

No. 78475 = 525^{2} × 43 × 73, so it is divisible by 5.

What are the factors of 78475?

1, 5, 25, 43, 73, 215, 365, 1075, 1825, 3139, 15695, 78475.

What is 78475 in binary?

10011001010001011 (hexadecimal 1328B, octal 231213).

What is the square root of 78475?

About 280.1339, exactly 5√3139.

Is 78475 divisible by 3?

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

What is special about the number 78475?

78475 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    78475: is it prime? Factors, square root, binary, Roman numeral | WordGPT