2,697,328

2⁴ × 263 × 641

2,697,328 factors as 2^4 × 263 × 641. Its 20 positive divisors give a proper-divisor sum of 2,556,800, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^4 × 263 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,254,128

Proper Divisor Sum 2,556,800

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2697307 ← → #2697379

Radix Representation

Decimal	2697328
Binary	1010010010100001110000 (22 bits)
Octal	0o12224160
Hexadecimal	0x292870

Divisor Catalog (20)

Collatz Trajectory (200 steps to reach 1)

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

2,697,328 1,348,664 674,332 337,166 168,583 505,750 252,875 758,626 379,313 1,137,940 568,970 284,485 853,456 426,728 213,364 106,682 53,341 160,024 80,012 40,006 20,003 60,010 30,005 90,016 45,008 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131

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