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The number 58472

58472 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 7309. Divisors (8): 1, 2, 4, 8, 7309, 14618, 29236, 58472.

Number

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How to work it out

  1. 1

    58472 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

    58472 is composite. Its prime factorisation is

    58472=23×730958472 = 2^{3} \times 7309
  3. 3

    The divisors add up to 109650; without 58472 itself that is 51178, so 58472 is deficient (51178 is less than 58472). Euler's totient φ(58472) = 29232 numbers up to 58472 share no factor with it.

  4. 4

    The digits of 58472 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58472 = 2^{3} \times 7309 \]

58472 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors109650
Euler totient φ(n)29232
Square3418974784
Cube199914293570048
Square root241.809843 (= 2√14618)
Digit sum / digital root26 / 8
Collatz steps to 1135
Scientific notation5.8472 × 10410^{4}

58472 in other forms

FormValue
In wordsfifty-eight thousand four hundred and seventy-two
Binary (base 2)1110010001101000
Octal (base 8)162150
Hexadecimal (base 16)E468
Base 32222012122
As time58472 seconds = 16 h 14 min 32 s

Is 58472 divisible by 2 to 12?

DivisorAnswerRule
2Yes (58472 ÷ 2 = 29236)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 (58472 ÷ 4 = 14618)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 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 (58472 ÷ 8 = 7309)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 7)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 58472 a prime number?

No. 58472 = 232^{3} × 7309, so it is divisible by 2.

What are the factors of 58472?

1, 2, 4, 8, 7309, 14618, 29236, 58472.

What is 58472 in binary?

1110010001101000 (hexadecimal E468, octal 162150).

What is the square root of 58472?

About 241.8098, exactly 2√14618.

Is 58472 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 58472?

It is a composite number with 8 divisors.

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    58472: is it prime? Factors, square root, binary, Roman numeral | WordGPT