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Ratio Atlas
Atlas › Integer Profiles › Node 2,201,217
2,201,217
3 × 31 × 23669
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 31 × 23669
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,029,760
Proper Divisor Sum 828,543
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2201209 ← → #2201273

Radix Representation

Decimal 2201217
Binary 1000011001011010000001 (22 bits)
Octal 0o10313201
Hexadecimal 0x219681

Divisor Catalog (8)

1 3 31 93 23,669 71,007 733,739 2,201,217

Collatz Trajectory (197 steps to reach 1)

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

2,201,217 6,603,652 3,301,826 1,650,913 4,952,740 2,476,370 1,238,185 3,714,556 1,857,278 928,639 2,785,918 1,392,959 4,178,878 2,089,439 6,268,318 3,134,159 9,402,478 4,701,239 14,103,718 7,051,859 21,155,578 10,577,789 31,733,368 15,866,684 7,933,342 3,966,671 11,900,014 5,950,007 17,850,022 8,925,011 26,775,034 13,387,517 40,162,552 20,081,276 10,040,638 5,020,319 15,060,958 7,530,479 22,591,438 11,295,719 33,887,158 16,943,579 50,830,738 25,415,369 76,246,108 38,123,054 19,061,527 57,184,582 28,592,291 85,776,874 42,888,437 128,665,312 64,332,656 32,166,328 16,083,164 8,041,582 4,020,791 12,062,374 6,031,187 18,093,562

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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