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The number 98488

98488 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 13 × 947. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 947, 1894, 3788, 7576, 12311, 24622, 49244, 98488.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    98488 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

    98488 is composite. Its prime factorisation is

    98488=23×13×94798488 = 2^{3} \times 13 \times 947
  3. 3

    The divisors add up to 199080; without 98488 itself that is 100592, so 98488 is abundant (100592 is more than 98488). Euler's totient φ(98488) = 45408 numbers up to 98488 share no factor with it.

  4. 4

    The digits of 98488 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98488 = 2^{3} \times 13 \times 947 \]

98488 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors199080
Euler totient φ(n)45408
Square9699886144
Cube955322386550272
Square root313.827978 (= 2√24622)
Digit sum / digital root37 / 1
Collatz steps to 1159
Scientific notation9.8488 × 10410^{4}

98488 in other forms

FormValue
In wordsninety-eight thousand four hundred and eighty-eight
Binary (base 2)11000000010111000
Octal (base 8)300270
Hexadecimal (base 16)180B8
Base 312000002201
As time98488 seconds = 27 h 21 min 28 s

Is 98488 divisible by 2 to 12?

DivisorAnswerRule
2Yes (98488 ÷ 2 = 49244)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.
4Yes (98488 ÷ 4 = 24622)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 4)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 (98488 ÷ 8 = 12311)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 8)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98488 a prime number?

No. 98488 = 232^{3} × 13 × 947, so it is divisible by 2.

What are the factors of 98488?

1, 2, 4, 8, 13, 26, 52, 104, 947, 1894, 3788, 7576, 12311, 24622, 49244, 98488.

What is 98488 in binary?

11000000010111000 (hexadecimal 180B8, octal 300270).

What is the square root of 98488?

About 313.8280, exactly 2√24622.

Is 98488 divisible by 3?

No. Its digits add up to 37, which is not a multiple of 3.

What is special about the number 98488?

It is a composite number with 16 divisors.

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