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Atlas › Integer Profiles › Node 10,728,016

10,728,016

24 × 13 × 51577
Abundant Even Composite

10,728,016 factors as 2^4 × 13 × 51577. Its 20 positive divisors give a proper-divisor sum of 11,656,836, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 51577
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 22,384,852
Proper Divisor Sum 11,656,836
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10727987 ← → #10728017

Radix Representation

Decimal 10728016
Binary 101000111011001001010000 (24 bits)
Octal 0o50731120
Hexadecimal 0xA3B250

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 51,577 103,154 206,308 412,616 670,501 825,232 1,341,002 2,682,004 5,364,008 10,728,016

Collatz Trajectory (96 steps to reach 1)

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

10,728,016 5,364,008 2,682,004 1,341,002 670,501 2,011,504 1,005,752 502,876 251,438 125,719 377,158 188,579 565,738 282,869 848,608 424,304 212,152 106,076 53,038 26,519 79,558 39,779 119,338 59,669 179,008 89,504 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317

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