5,627,456

2⁶ × 23 × 3823

5,627,456 factors as 2^6 × 23 × 3823. Its 28 positive divisors give a proper-divisor sum of 6,028,096, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^6 × 23 × 3823

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 11,655,552

Proper Divisor Sum 6,028,096

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5627449 ← → #5627467

Radix Representation

Decimal	5627456
Binary	10101011101111001000000 (23 bits)
Octal	0o25357100
Hexadecimal	0x55DE40

Divisor Catalog (28)

Collatz Trajectory (108 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,627,456 2,813,728 1,406,864 703,432 351,716 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274 105,637 316,912 158,456 79,228 39,614 19,807 59,422 29,711 89,134 44,567 133,702 66,851 200,554 100,277 300,832 150,416 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950

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