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The number 58248

58248 is a composite number with 24 divisors. Its prime factorisation is 232^{3} × 323^{2} × 809. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 809, 1618, 2427, 3236 … 58248.

Number

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How to work it out

  1. 1

    58248 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

    58248 is composite. Its prime factorisation is

    58248=23×32×80958248 = 2^{3} \times 3^{2} \times 809
  3. 3

    The divisors add up to 157950; without 58248 itself that is 99702, so 58248 is abundant (99702 is more than 58248). Euler's totient φ(58248) = 19392 numbers up to 58248 share no factor with it.

  4. 4

    The digits of 58248 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 21 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58248 = 2^{3} \times 3^{2} \times 809 \]

58248 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors157950
Euler totient φ(n)19392
Square3392829504
Cube197625532948992
Square root241.346224 (= 6√1618)
Digit sum / digital root27 / 9
Collatz steps to 121
Scientific notation5.8248 × 10410^{4}

58248 in other forms

FormValue
In wordsfifty-eight thousand two hundred and forty-eight
Binary (base 2)1110001110001000
Octal (base 8)161610
Hexadecimal (base 16)E388
Base 32221220100
As time58248 seconds = 16 h 10 min 48 s

Is 58248 divisible by 2 to 12?

DivisorAnswerRule
2Yes (58248 ÷ 2 = 29124)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (58248 ÷ 3 = 19416)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (58248 ÷ 4 = 14562)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.
6Yes (58248 ÷ 6 = 9708)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 (58248 ÷ 8 = 7281)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (58248 ÷ 9 = 6472)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12Yes (58248 ÷ 12 = 4854)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58248 a prime number?

No. 58248 = 232^{3} × 323^{2} × 809, so it is divisible by 2.

What are the factors of 58248?

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 809, 1618, 2427, 3236, 4854, 6472, 7281, 9708, 14562, 19416, 29124, 58248.

What is 58248 in binary?

1110001110001000 (hexadecimal E388, octal 161610).

What is the square root of 58248?

About 241.3462, exactly 6√1618.

Is 58248 divisible by 3?

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

What is special about the number 58248?

It is a composite number with 24 divisors.

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