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The number 76088

76088 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 9511. Divisors (8): 1, 2, 4, 8, 9511, 19022, 38044, 76088.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    76088 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

    76088 is composite. Its prime factorisation is

    76088=23×951176088 = 2^{3} \times 9511
  3. 3

    The divisors add up to 142680; without 76088 itself that is 66592, so 76088 is deficient (66592 is less than 76088). Euler's totient φ(76088) = 38040 numbers up to 76088 share no factor with it.

  4. 4

    The digits of 76088 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76088 = 2^{3} \times 9511 \]

76088 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors142680
Euler totient φ(n)38040
Square5789383744
Cube440502630313472
Square root275.840534 (= 2√19022)
Digit sum / digital root29 / 2
Collatz steps to 155
Scientific notation7.6088 × 10410^{4}

76088 in other forms

FormValue
In wordsseventy-six thousand and eighty-eight
Binary (base 2)10010100100111000
Octal (base 8)224470
Hexadecimal (base 16)12938
Base 310212101002
As time76088 seconds = 21 h 8 min 8 s

Is 76088 divisible by 2 to 12?

DivisorAnswerRule
2Yes (76088 ÷ 2 = 38044)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 (76088 ÷ 4 = 19022)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 2)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.
8Yes (76088 ÷ 8 = 9511)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 1)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 76088 a prime number?

No. 76088 = 232^{3} × 9511, so it is divisible by 2.

What are the factors of 76088?

1, 2, 4, 8, 9511, 19022, 38044, 76088.

What is 76088 in binary?

10010100100111000 (hexadecimal 12938, octal 224470).

What is the square root of 76088?

About 275.8405, exactly 2√19022.

Is 76088 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 76088?

It is a composite number with 8 divisors.

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