λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,909,615
8,909,615
5 × 11 × 13 × 17 × 733
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11 × 13 × 17 × 733
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,317,696
Proper Divisor Sum 4,408,081
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8909611 ← → #8909647

Radix Representation

Decimal 8909615
Binary 100001111111001100101111 (24 bits)
Octal 0o41771457
Hexadecimal 0x87F32F

Divisor Catalog (32)

1 5 11 13 17 55 65 85 143 187 221 715 733 935 1,105 2,431 3,665 8,063 9,529 12,155 12,461 40,315 47,645 62,305 104,819 137,071 161,993 524,095 685,355 809,965 1,781,923 8,909,615

Collatz Trajectory (168 steps to reach 1)

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

8,909,615 26,728,846 13,364,423 40,093,270 20,046,635 60,139,906 30,069,953 90,209,860 45,104,930 22,552,465 67,657,396 33,828,698 16,914,349 50,743,048 25,371,524 12,685,762 6,342,881 19,028,644 9,514,322 4,757,161 14,271,484 7,135,742 3,567,871 10,703,614 5,351,807 16,055,422 8,027,711 24,083,134 12,041,567 36,124,702 18,062,351 54,187,054 27,093,527 81,280,582 40,640,291 121,920,874 60,960,437 182,881,312 91,440,656 45,720,328 22,860,164 11,430,082 5,715,041 17,145,124 8,572,562 4,286,281 12,858,844 6,429,422 3,214,711 9,644,134 4,822,067 14,466,202 7,233,101 21,699,304 10,849,652 5,424,826 2,712,413 8,137,240 4,068,620 2,034,310

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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