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Ratio Atlas
Atlas › Integer Profiles › Node 17,527,741
17,527,741
72 × 11 × 31 × 1049
Deficient Odd Composite

Prime Factor Structure

Factorization String 7^2 × 11 × 31 × 1049
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,982,400
Proper Divisor Sum 5,454,659
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #17527733 ← → #17527753

Radix Representation

Decimal 17527741
Binary 1000010110111001110111101 (25 bits)
Octal 0o102671675
Hexadecimal 0x10B73BD

Divisor Catalog (24)

1 7 11 31 49 77 217 341 539 1,049 1,519 2,387 7,343 11,539 16,709 32,519 51,401 80,773 227,633 357,709 565,411 1,593,431 2,503,963 17,527,741

Collatz Trajectory (200 steps to reach 1)

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

17,527,741 52,583,224 26,291,612 13,145,806 6,572,903 19,718,710 9,859,355 29,578,066 14,789,033 44,367,100 22,183,550 11,091,775 33,275,326 16,637,663 49,912,990 24,956,495 74,869,486 37,434,743 112,304,230 56,152,115 168,456,346 84,228,173 252,684,520 126,342,260 63,171,130 31,585,565 94,756,696 47,378,348 23,689,174 11,844,587 35,533,762 17,766,881 53,300,644 26,650,322 13,325,161 39,975,484 19,987,742 9,993,871 29,981,614 14,990,807 44,972,422 22,486,211 67,458,634 33,729,317 101,187,952 50,593,976 25,296,988 12,648,494 6,324,247 18,972,742 9,486,371 28,459,114 14,229,557 42,688,672 21,344,336 10,672,168 5,336,084 2,668,042 1,334,021 4,002,064

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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