λ
Ratio Atlas
Atlas › Integer Profiles › Node 25,752,650
25,752,650
2 × 52 × 7 × 11 × 6689
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 11 × 6689
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 59,728,320
Proper Divisor Sum 33,975,670
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #25752641 ← → #25752673

Radix Representation

Decimal 25752650
Binary 1100010001111010001001010 (25 bits)
Octal 0o142172112
Hexadecimal 0x188F44A

Divisor Catalog (48)

1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 154 175 275 350 385 550 770 1,925 3,850 6,689 13,378 33,445 46,823 66,890 73,579 93,646 147,158 167,225 234,115 334,450 367,895 468,230 515,053 735,790 1,030,106 1,170,575 1,839,475 2,341,150 2,575,265 3,678,950 5,150,530 12,876,325 25,752,650

Collatz Trajectory (149 steps to reach 1)

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

25,752,650 12,876,325 38,628,976 19,314,488 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

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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