λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,367,198
8,367,198
2 × 3 × 7 × 41 × 43 × 113
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 41 × 43 × 113
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,224,512
Proper Divisor Sum 11,857,314
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8367197 ← → #8367221

Radix Representation

Decimal 8367198
Binary 11111111010110001011110 (23 bits)
Octal 0o37726136
Hexadecimal 0x7FAC5E

Divisor Catalog (60 of 64)

1 2 3 6 7 14 21 41 42 43 82 86 113 123 129 226 246 258 287 301 339 574 602 678 791 861 903 1,582 1,722 1,763 1,806 2,373 3,526 4,633 4,746 4,859 5,289 9,266 9,718 10,578 12,341 13,899 14,577 24,682 27,798 29,154 32,431 34,013 37,023 64,862 68,026 74,046 97,293 102,039 194,586 199,219 204,078 398,438 597,657 1,195,314

Collatz Trajectory (274 steps to reach 1)

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

8,367,198 4,183,599 12,550,798 6,275,399 18,826,198 9,413,099 28,239,298 14,119,649 42,358,948 21,179,474 10,589,737 31,769,212 15,884,606 7,942,303 23,826,910 11,913,455 35,740,366 17,870,183 53,610,550 26,805,275 80,415,826 40,207,913 120,623,740 60,311,870 30,155,935 90,467,806 45,233,903 135,701,710 67,850,855 203,552,566 101,776,283 305,328,850 152,664,425 457,993,276 228,996,638 114,498,319 343,494,958 171,747,479 515,242,438 257,621,219 772,863,658 386,431,829 1,159,295,488 579,647,744 289,823,872 144,911,936 72,455,968 36,227,984 18,113,992 9,056,996 4,528,498 2,264,249 6,792,748 3,396,374 1,698,187 5,094,562 2,547,281 7,641,844 3,820,922 1,910,461

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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