λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,577,470
17,577,470
2 × 5 × 19 × 71 × 1303
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 19 × 71 × 1303
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,799,680
Proper Divisor Sum 16,222,210
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17577437 ← → #17577481

Radix Representation

Decimal 17577470
Binary 1000011000011010111111110 (25 bits)
Octal 0o103032776
Hexadecimal 0x10C35FE

Divisor Catalog (32)

1 2 5 10 19 38 71 95 142 190 355 710 1,303 1,349 2,606 2,698 6,515 6,745 13,030 13,490 24,757 49,514 92,513 123,785 185,026 247,570 462,565 925,130 1,757,747 3,515,494 8,788,735 17,577,470

Collatz Trajectory (226 steps to reach 1)

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

17,577,470 8,788,735 26,366,206 13,183,103 39,549,310 19,774,655 59,323,966 29,661,983 88,985,950 44,492,975 133,478,926 66,739,463 200,218,390 100,109,195 300,327,586 150,163,793 450,491,380 225,245,690 112,622,845 337,868,536 168,934,268 84,467,134 42,233,567 126,700,702 63,350,351 190,051,054 95,025,527 285,076,582 142,538,291 427,614,874 213,807,437 641,422,312 320,711,156 160,355,578 80,177,789 240,533,368 120,266,684 60,133,342 30,066,671 90,200,014 45,100,007 135,300,022 67,650,011 202,950,034 101,475,017 304,425,052 152,212,526 76,106,263 228,318,790 114,159,395 342,478,186 171,239,093 513,717,280 256,858,640 128,429,320 64,214,660 32,107,330 16,053,665 48,160,996 24,080,498

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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