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Ratio Atlas
Atlas › Integer Profiles › Node 2,255,295
2,255,295
3 × 5 × 7 × 47 × 457
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 47 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,220,928
Proper Divisor Sum 1,965,633
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2255291 ← → #2255299

Radix Representation

Decimal 2255295
Binary 1000100110100110111111 (22 bits)
Octal 0o10464677
Hexadecimal 0x2269BF

Divisor Catalog (32)

1 3 5 7 15 21 35 47 105 141 235 329 457 705 987 1,371 1,645 2,285 3,199 4,935 6,855 9,597 15,995 21,479 47,985 64,437 107,395 150,353 322,185 451,059 751,765 2,255,295

Collatz Trajectory (161 steps to reach 1)

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

2,255,295 6,765,886 3,382,943 10,148,830 5,074,415 15,223,246 7,611,623 22,834,870 11,417,435 34,252,306 17,126,153 51,378,460 25,689,230 12,844,615 38,533,846 19,266,923 57,800,770 28,900,385 86,701,156 43,350,578 21,675,289 65,025,868 32,512,934 16,256,467 48,769,402 24,384,701 73,154,104 36,577,052 18,288,526 9,144,263 27,432,790 13,716,395 41,149,186 20,574,593 61,723,780 30,861,890 15,430,945 46,292,836 23,146,418 11,573,209 34,719,628 17,359,814 8,679,907 26,039,722 13,019,861 39,059,584 19,529,792 9,764,896 4,882,448 2,441,224 1,220,612 610,306 305,153 915,460 457,730 228,865 686,596 343,298 171,649 514,948

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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