λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,864,015
9,864,015
3 × 5 × 7 × 37 × 2539
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 37 × 2539
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,531,840
Proper Divisor Sum 8,667,825
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9864011 ← → #9864061

Radix Representation

Decimal 9864015
Binary 100101101000001101001111 (24 bits)
Octal 0o45501517
Hexadecimal 0x96834F

Divisor Catalog (32)

1 3 5 7 15 21 35 37 105 111 185 259 555 777 1,295 2,539 3,885 7,617 12,695 17,773 38,085 53,319 88,865 93,943 266,595 281,829 469,715 657,601 1,409,145 1,972,803 3,288,005 9,864,015

Collatz Trajectory (282 steps to reach 1)

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

9,864,015 29,592,046 14,796,023 44,388,070 22,194,035 66,582,106 33,291,053 99,873,160 49,936,580 24,968,290 12,484,145 37,452,436 18,726,218 9,363,109 28,089,328 14,044,664 7,022,332 3,511,166 1,755,583 5,266,750 2,633,375 7,900,126 3,950,063 11,850,190 5,925,095 17,775,286 8,887,643 26,662,930 13,331,465 39,994,396 19,997,198 9,998,599 29,995,798 14,997,899 44,993,698 22,496,849 67,490,548 33,745,274 16,872,637 50,617,912 25,308,956 12,654,478 6,327,239 18,981,718 9,490,859 28,472,578 14,236,289 42,708,868 21,354,434 10,677,217 32,031,652 16,015,826 8,007,913 24,023,740 12,011,870 6,005,935 18,017,806 9,008,903 27,026,710 13,513,355

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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