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The number 98552

98552 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 97 × 127. Divisors (16): 1, 2, 4, 8, 97, 127, 194, 254, 388, 508, 776, 1016, 12319, 24638, 49276, 98552.

Number

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How to work it out

  1. 1

    98552 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

    98552 is composite. Its prime factorisation is

    98552=23×97×12798552 = 2^{3} \times 97 \times 127
  3. 3

    The divisors add up to 188160; without 98552 itself that is 89608, so 98552 is deficient (89608 is less than 98552). Euler's totient φ(98552) = 48384 numbers up to 98552 share no factor with it.

  4. 4

    The digits of 98552 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 97 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98552 = 2^{3} \times 97 \times 127 \]

98552 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors188160
Euler totient φ(n)48384
Square9712496704
Cube957185975172608
Square root313.929928 (= 2√24638)
Digit sum / digital root29 / 2
Collatz steps to 197
Scientific notation9.8552 × 10410^{4}

98552 in other forms

FormValue
In wordsninety-eight thousand five hundred and fifty-two
Binary (base 2)11000000011111000
Octal (base 8)300370
Hexadecimal (base 16)180F8
Base 312000012002
As time98552 seconds = 27 h 22 min 32 s

Is 98552 divisible by 2 to 12?

DivisorAnswerRule
2Yes (98552 ÷ 2 = 49276)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 (98552 ÷ 4 = 24638)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 6)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 (98552 ÷ 8 = 12319)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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 98552 a prime number?

No. 98552 = 232^{3} × 97 × 127, so it is divisible by 2.

What are the factors of 98552?

1, 2, 4, 8, 97, 127, 194, 254, 388, 508, 776, 1016, 12319, 24638, 49276, 98552.

What is 98552 in binary?

11000000011111000 (hexadecimal 180F8, octal 300370).

What is the square root of 98552?

About 313.9299, exactly 2√24638.

Is 98552 divisible by 3?

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

What is special about the number 98552?

It is a composite number with 16 divisors.

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