WordGPT

The number 88049

88049 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 521. Divisors (6): 1, 13, 169, 521, 6773, 88049.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    88049 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

    88049 is composite. Its prime factorisation is

    88049=132Ɨ52188049 = 13^{2} \times 521
  3. 3

    The divisors add up to 95526; without 88049 itself that is 7477, so 88049 is deficient (7477 is less than 88049). Euler's totient φ(88049) = 81120 numbers up to 88049 share no factor with it.

  4. 4

    The digits of 88049 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 177 steps to reach 1.

LaTeX source of the formulas on this page
\[ 88049 = 13^{2} \times 521 \]

88049 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors95526
Euler totient φ(n)81120
Square7752626401
Cube682611001981649
Square root296.730517 (= 13√521)
Digit sum / digital root29 / 2
Collatz steps to 1177
Scientific notation8.8049 Ɨ 10410^{4}

88049 in other forms

FormValue
In wordseighty-eight thousand and forty-nine
Binary (base 2)10101011111110001
Octal (base 8)253761
Hexadecimal (base 16)157F1
Base 311110210002
As time88049 seconds = 24 h 27 min 29 s

Is 88049 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 1)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 88049 a prime number?

No. 88049 = 13213^{2} Ɨ 521, so it is divisible by 13.

What are the factors of 88049?

1, 13, 169, 521, 6773, 88049.

What is 88049 in binary?

10101011111110001 (hexadecimal 157F1, octal 253761).

What is the square root of 88049?

About 296.7305, exactly 13√521.

Is 88049 divisible by 3?

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

What is special about the number 88049?

It is a composite number with 6 divisors.

Find the next one

Nearby numbers

    88049: is it prime? Factors, square root, binary, Roman numeral | WordGPT