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The number 88029

88029 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 9781. Divisors (6): 1, 3, 9, 9781, 29343, 88029.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    88029 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

    88029 is composite. Its prime factorisation is

    88029=32×978188029 = 3^{2} \times 9781
  3. 3

    The divisors add up to 127166; without 88029 itself that is 39137, so 88029 is deficient (39137 is less than 88029). Euler's totient φ(88029) = 58680 numbers up to 88029 share no factor with it.

  4. 4

    The digits of 88029 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 88029 = 3^{2} \times 9781 \]

88029 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors127166
Euler totient φ(n)58680
Square7749104841
Cube682145950048389
Square root296.696815 (= 3√9781)
Digit sum / digital root27 / 9
Collatz steps to 176
Scientific notation8.8029 × 10410^{4}

88029 in other forms

FormValue
In wordseighty-eight thousand and twenty-nine
Binary (base 2)10101011111011101
Octal (base 8)253735
Hexadecimal (base 16)157DD
Base 311110202100
As time88029 seconds = 24 h 27 min 9 s

Is 88029 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).
3Yes (88029 ÷ 3 = 29343)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 3)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (88029 ÷ 9 = 9781)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 88029 a prime number?

No. 88029 = 323^{2} × 9781, so it is divisible by 3.

What are the factors of 88029?

1, 3, 9, 9781, 29343, 88029.

What is 88029 in binary?

10101011111011101 (hexadecimal 157DD, octal 253735).

What is the square root of 88029?

About 296.6968, exactly 3√9781.

Is 88029 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 88029?

It is a composite number with 6 divisors.

Find the next one

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    88029: is it prime? Factors, square root, binary, Roman numeral | WordGPT