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The number 75478

75478 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 2903. Divisors (8): 1, 2, 13, 26, 2903, 5806, 37739, 75478.

Number

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How to work it out

  1. 1

    What is special about 75478: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    75478 is composite. Its prime factorisation is

    75478=2×13×290375478 = 2 \times 13 \times 2903
  3. 3

    The divisors add up to 121968; without 75478 itself that is 46490, so 75478 is deficient (46490 is less than 75478). Euler's totient φ(75478) = 34824 numbers up to 75478 share no factor with it.

  4. 4

    The digits of 75478 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 156 steps to reach 1.

LaTeX source of the formulas on this page
\[ 75478 = 2 \times 13 \times 2903 \]

75478 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors121968
Euler totient φ(n)34824
Square5696928484
Cube429992768115352
Square root274.732597
Digit sum / digital root31 / 4
Collatz steps to 1156
Scientific notation7.5478 × 10410^{4}

75478 in other forms

FormValue
In wordsseventy-five thousand four hundred and seventy-eight
Binary (base 2)10010011011010110
Octal (base 8)223326
Hexadecimal (base 16)126D6
Base 310211112111
As time75478 seconds = 20 h 57 min 58 s

Is 75478 divisible by 2 to 12?

DivisorAnswerRule
2Yes (75478 ÷ 2 = 37739)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 6)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 75478 a prime number?

No. 75478 = 2 × 13 × 2903, so it is divisible by 2.

What are the factors of 75478?

1, 2, 13, 26, 2903, 5806, 37739, 75478.

What is 75478 in binary?

10010011011010110 (hexadecimal 126D6, octal 223326).

What is the square root of 75478?

About 274.7326.

Is 75478 divisible by 3?

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

What is special about the number 75478?

75478 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    75478: is it prime? Factors, square root, binary, Roman numeral | WordGPT