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The number 53572

53572 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 59 × 227. Divisors (12): 1, 2, 4, 59, 118, 227, 236, 454, 908, 13393, 26786, 53572.

Number

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How to work it out

  1. 1

    53572 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

    53572 is composite. Its prime factorisation is

    53572=22×59×22753572 = 2^{2} \times 59 \times 227
  3. 3

    The divisors add up to 95760; without 53572 itself that is 42188, so 53572 is deficient (42188 is less than 53572). Euler's totient φ(53572) = 26216 numbers up to 53572 share no factor with it.

  4. 4

    The digits of 53572 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53572 = 2^{2} \times 59 \times 227 \]

53572 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors95760
Euler totient φ(n)26216
Square2869959184
Cube153749453405248
Square root231.456259 (= 2√13393)
Digit sum / digital root22 / 4
Collatz steps to 196
Scientific notation5.3572 × 10410^{4}

53572 in other forms

FormValue
In wordsfifty-three thousand five hundred and seventy-two
Binary (base 2)1101000101000100
Octal (base 8)150504
Hexadecimal (base 16)D144
Base 32201111011
As time53572 seconds = 14 h 52 min 52 s

Is 53572 divisible by 2 to 12?

DivisorAnswerRule
2Yes (53572 ÷ 2 = 26786)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 (53572 ÷ 4 = 13393)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 4)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.
8No (remainder 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 2)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 53572 a prime number?

No. 53572 = 222^{2} × 59 × 227, so it is divisible by 2.

What are the factors of 53572?

1, 2, 4, 59, 118, 227, 236, 454, 908, 13393, 26786, 53572.

What is 53572 in binary?

1101000101000100 (hexadecimal D144, octal 150504).

What is the square root of 53572?

About 231.4563, exactly 2√13393.

Is 53572 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 53572?

It is a composite number with 12 divisors.

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    53572: is it prime? Factors, square root, binary, Roman numeral | WordGPT