λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,199,596
32,199,596
22 × 11 × 13 × 41 × 1373
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 41 × 1373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 67,864,608
Proper Divisor Sum 35,665,012
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #32199589 ← → #32199611

Radix Representation

Decimal 32199596
Binary 1111010110101001110101100 (25 bits)
Octal 0o172651654
Hexadecimal 0x1EB53AC

Divisor Catalog (48)

1 2 4 11 13 22 26 41 44 52 82 143 164 286 451 533 572 902 1,066 1,373 1,804 2,132 2,746 5,492 5,863 11,726 15,103 17,849 23,452 30,206 35,698 56,293 60,412 71,396 112,586 196,339 225,172 392,678 619,223 731,809 785,356 1,238,446 1,463,618 2,476,892 2,927,236 8,049,899 16,099,798 32,199,596

Collatz Trajectory (139 steps to reach 1)

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

32,199,596 16,099,798 8,049,899 24,149,698 12,074,849 36,224,548 18,112,274 9,056,137 27,168,412 13,584,206 6,792,103 20,376,310 10,188,155 30,564,466 15,282,233 45,846,700 22,923,350 11,461,675 34,385,026 17,192,513 51,577,540 25,788,770 12,894,385 38,683,156 19,341,578 9,670,789 29,012,368 14,506,184 7,253,092 3,626,546 1,813,273 5,439,820 2,719,910 1,359,955 4,079,866 2,039,933 6,119,800 3,059,900 1,529,950 764,975 2,294,926 1,147,463 3,442,390 1,721,195 5,163,586 2,581,793 7,745,380 3,872,690 1,936,345 5,809,036 2,904,518 1,452,259 4,356,778 2,178,389 6,535,168 3,267,584 1,633,792 816,896 408,448 204,224

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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