λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,528,526
17,528,526
2 × 32 × 19 × 107 × 479
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 107 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 40,435,200
Proper Divisor Sum 22,906,674
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17528519 ← → #17528527

Radix Representation

Decimal 17528526
Binary 1000010110111011011001110 (25 bits)
Octal 0o102673316
Hexadecimal 0x10B76CE

Divisor Catalog (48)

1 2 3 6 9 18 19 38 57 107 114 171 214 321 342 479 642 958 963 1,437 1,926 2,033 2,874 4,066 4,311 6,099 8,622 9,101 12,198 18,202 18,297 27,303 36,594 51,253 54,606 81,909 102,506 153,759 163,818 307,518 461,277 922,554 973,807 1,947,614 2,921,421 5,842,842 8,764,263 17,528,526

Collatz Trajectory (107 steps to reach 1)

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

17,528,526 8,764,263 26,292,790 13,146,395 39,439,186 19,719,593 59,158,780 29,579,390 14,789,695 44,369,086 22,184,543 66,553,630 33,276,815 99,830,446 49,915,223 149,745,670 74,872,835 224,618,506 112,309,253 336,927,760 168,463,880 84,231,940 42,115,970 21,057,985 63,173,956 31,586,978 15,793,489 47,380,468 23,690,234 11,845,117 35,535,352 17,767,676 8,883,838 4,441,919 13,325,758 6,662,879 19,988,638 9,994,319 29,982,958 14,991,479 44,974,438 22,487,219 67,461,658 33,730,829 101,192,488 50,596,244 25,298,122 12,649,061 37,947,184 18,973,592 9,486,796 4,743,398 2,371,699 7,115,098 3,557,549 10,672,648 5,336,324 2,668,162 1,334,081 4,002,244

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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