λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,887,215
8,887,215
3 × 5 × 37 × 67 × 239
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 37 × 67 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,883,840
Proper Divisor Sum 5,996,625
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8887213 ← → #8887217

Radix Representation

Decimal 8887215
Binary 100001111001101110101111 (24 bits)
Octal 0o41715657
Hexadecimal 0x879BAF

Divisor Catalog (32)

1 3 5 15 37 67 111 185 201 239 335 555 717 1,005 1,195 2,479 3,585 7,437 8,843 12,395 16,013 26,529 37,185 44,215 48,039 80,065 132,645 240,195 592,481 1,777,443 2,962,405 8,887,215

Collatz Trajectory (124 steps to reach 1)

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

8,887,215 26,661,646 13,330,823 39,992,470 19,996,235 59,988,706 29,994,353 89,983,060 44,991,530 22,495,765 67,487,296 33,743,648 16,871,824 8,435,912 4,217,956 2,108,978 1,054,489 3,163,468 1,581,734 790,867 2,372,602 1,186,301 3,558,904 1,779,452 889,726 444,863 1,334,590 667,295 2,001,886 1,000,943 3,002,830 1,501,415 4,504,246 2,252,123 6,756,370 3,378,185 10,134,556 5,067,278 2,533,639 7,600,918 3,800,459 11,401,378 5,700,689 17,102,068 8,551,034 4,275,517 12,826,552 6,413,276 3,206,638 1,603,319 4,809,958 2,404,979 7,214,938 3,607,469 10,822,408 5,411,204 2,705,602 1,352,801 4,058,404 2,029,202

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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