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The number 76375

76375 is a composite number with 16 divisors. Its prime factorisation is 535^{3} × 13 × 47. Divisors (16): 1, 5, 13, 25, 47, 65, 125, 235, 325, 611, 1175, 1625, 3055, 5875, 15275, 76375.

Number

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How to work it out

  1. 1

    76375 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

    76375 is composite. Its prime factorisation is

    76375=53×13×4776375 = 5^{3} \times 13 \times 47
  3. 3

    The divisors add up to 104832; without 76375 itself that is 28457, so 76375 is deficient (28457 is less than 76375). Euler's totient φ(76375) = 55200 numbers up to 76375 share no factor with it.

  4. 4

    The digits of 76375 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76375 = 5^{3} \times 13 \times 47 \]

76375 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors104832
Euler totient φ(n)55200
Square5833140625
Cube445506115234375
Square root276.360272 (= 5√3055)
Digit sum / digital root28 / 1
Collatz steps to 181
Scientific notation7.6375 × 10410^{4}

76375 in other forms

FormValue
In wordsseventy-six thousand three hundred and seventy-five
Binary (base 2)10010101001010111
Octal (base 8)225127
Hexadecimal (base 16)12A57
Base 310212202201
As time76375 seconds = 21 h 12 min 55 s

Is 76375 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 (76375 ÷ 5 = 15275)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 1)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 2)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 76375 a prime number?

No. 76375 = 535^{3} × 13 × 47, so it is divisible by 5.

What are the factors of 76375?

1, 5, 13, 25, 47, 65, 125, 235, 325, 611, 1175, 1625, 3055, 5875, 15275, 76375.

What is 76375 in binary?

10010101001010111 (hexadecimal 12A57, octal 225127).

What is the square root of 76375?

About 276.3603, exactly 5√3055.

Is 76375 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 76375?

It is a composite number with 16 divisors.

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    76375: is it prime? Factors, square root, binary, Roman numeral | WordGPT