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The number 75464

75464 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 9433. Divisors (8): 1, 2, 4, 8, 9433, 18866, 37732, 75464.

Number

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How to work it out

  1. 1

    75464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    75464 is composite. Its prime factorisation is

    75464=23×943375464 = 2^{3} \times 9433
  3. 3

    The divisors add up to 141510; without 75464 itself that is 66046, so 75464 is deficient (66046 is less than 75464). Euler's totient φ(75464) = 37728 numbers up to 75464 share no factor with it.

  4. 4

    The digits of 75464 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.

LaTeX source of the formulas on this page
\[ 75464 = 2^{3} \times 9433 \]

75464 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors141510
Euler totient φ(n)37728
Square5694815296
Cube429753541497344
Square root274.707117 (= 2√18866)
Digit sum / digital root26 / 8
Collatz steps to 137
Scientific notation7.5464 × 10410^{4}

75464 in other forms

FormValue
In wordsseventy-five thousand four hundred and sixty-four
Binary (base 2)10010011011001000
Octal (base 8)223310
Hexadecimal (base 16)126C8
Base 310211111222
As time75464 seconds = 20 h 57 min 44 s

Is 75464 divisible by 2 to 12?

DivisorAnswerRule
2Yes (75464 ÷ 2 = 37732)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (75464 ÷ 4 = 18866)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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.
8Yes (75464 ÷ 8 = 9433)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 75464 a prime number?

No. 75464 = 232^{3} × 9433, so it is divisible by 2.

What are the factors of 75464?

1, 2, 4, 8, 9433, 18866, 37732, 75464.

What is 75464 in binary?

10010011011001000 (hexadecimal 126C8, octal 223310).

What is the square root of 75464?

About 274.7071, exactly 2√18866.

Is 75464 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 75464?

It is a composite number with 8 divisors.

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    75464: is it prime? Factors, square root, binary, Roman numeral | WordGPT