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The number 5576

5576 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 17 × 41. Divisors (16): 1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576.

Number

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How to work it out

  1. 1

    5576 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

    5576 is composite. Its prime factorisation is

    5576=23×17×415576 = 2^{3} \times 17 \times 41
  3. 3

    The divisors add up to 11340; without 5576 itself that is 5764, so 5576 is abundant (5764 is more than 5576). Euler's totient φ(5576) = 2560 numbers up to 5576 share no factor with it.

  4. 4

    The digits of 5576 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5576 = 2^{3} \times 17 \times 41 \]

5576 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors11340
Euler totient φ(n)2560
Square31091776
Cube173367742976
Square root74.672619 (= 2√1394)
Digit sum / digital root23 / 5
Collatz steps to 1129
Scientific notation5.576 × 10310^{3}

5576 in other forms

FormValue
In wordsfive thousand five hundred and seventy-six
Binary (base 2)1010111001000
Octal (base 8)12710
Hexadecimal (base 16)15C8
Base 321122112
As time5576 seconds = 1 h 32 min 56 s

Is 5576 divisible by 2 to 12?

DivisorAnswerRule
2Yes (5576 ÷ 2 = 2788)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 (5576 ÷ 4 = 1394)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 4)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 (5576 ÷ 8 = 697)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 5576 a prime number?

No. 5576 = 232^{3} × 17 × 41, so it is divisible by 2.

What are the factors of 5576?

1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576.

What is 5576 in binary?

1010111001000 (hexadecimal 15C8, octal 12710).

What is the square root of 5576?

About 74.6726, exactly 2√1394.

Is 5576 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 5576?

It is a composite number with 16 divisors.

All about 5576

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