λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,330,148
32,330,148
22 × 3 × 31 × 233 × 373
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 233 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 78,414,336
Proper Divisor Sum 46,084,188
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #32330147 ← → #32330173

Radix Representation

Decimal 32330148
Binary 1111011010101000110100100 (25 bits)
Octal 0o173250644
Hexadecimal 0x1ED51A4

Divisor Catalog (48)

1 2 3 4 6 12 31 62 93 124 186 233 372 373 466 699 746 932 1,119 1,398 1,492 2,238 2,796 4,476 7,223 11,563 14,446 21,669 23,126 28,892 34,689 43,338 46,252 69,378 86,676 86,909 138,756 173,818 260,727 347,636 521,454 1,042,908 2,694,179 5,388,358 8,082,537 10,776,716 16,165,074 32,330,148

Collatz Trajectory (325 steps to reach 1)

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

32,330,148 16,165,074 8,082,537 24,247,612 12,123,806 6,061,903 18,185,710 9,092,855 27,278,566 13,639,283 40,917,850 20,458,925 61,376,776 30,688,388 15,344,194 7,672,097 23,016,292 11,508,146 5,754,073 17,262,220 8,631,110 4,315,555 12,946,666 6,473,333 19,420,000 9,710,000 4,855,000 2,427,500 1,213,750 606,875 1,820,626 910,313 2,730,940 1,365,470 682,735 2,048,206 1,024,103 3,072,310 1,536,155 4,608,466 2,304,233 6,912,700 3,456,350 1,728,175 5,184,526 2,592,263 7,776,790 3,888,395 11,665,186 5,832,593 17,497,780 8,748,890 4,374,445 13,123,336 6,561,668 3,280,834 1,640,417 4,921,252 2,460,626 1,230,313

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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