λ
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25,752,648

23 × 3 × 73 × 14699
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 73 × 14699
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 65,268,000
Proper Divisor Sum 39,515,352
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #25752641 ← → #25752673

Radix Representation

Decimal 25752648
Binary 1100010001111010001001000 (25 bits)
Octal 0o142172110
Hexadecimal 0x188F448

Divisor Catalog (32)

1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1,752 14,699 29,398 44,097 58,796 88,194 117,592 176,388 352,776 1,073,027 2,146,054 3,219,081 4,292,108 6,438,162 8,584,216 12,876,324 25,752,648

Collatz Trajectory (149 steps to reach 1)

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

25,752,648 12,876,324 6,438,162 3,219,081 9,657,244 4,828,622 2,414,311 7,242,934 3,621,467 10,864,402 5,432,201 16,296,604 8,148,302 4,074,151 12,222,454 6,111,227 18,333,682 9,166,841 27,500,524 13,750,262 6,875,131 20,625,394 10,312,697 30,938,092 15,469,046 7,734,523 23,203,570 11,601,785 34,805,356 17,402,678 8,701,339 26,104,018 13,052,009 39,156,028 19,578,014 9,789,007 29,367,022 14,683,511 44,050,534 22,025,267 66,075,802 33,037,901 99,113,704 49,556,852 24,778,426 12,389,213 37,167,640 18,583,820 9,291,910 4,645,955 13,937,866 6,968,933 20,906,800 10,453,400 5,226,700 2,613,350 1,306,675 3,920,026 1,960,013 5,880,040

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