λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,098,473
80,098,473
3 × 7 × 13 × 181 × 1621
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13 × 181 × 1621
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 132,251,392
Proper Divisor Sum 52,152,919
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #80098463 ← → #80098477

Radix Representation

Decimal 80098473
Binary 100110001100011010010101001 (27 bits)
Octal 0o461432251
Hexadecimal 0x4C634A9

Divisor Catalog (32)

1 3 7 13 21 39 91 181 273 543 1,267 1,621 2,353 3,801 4,863 7,059 11,347 16,471 21,073 34,041 49,413 63,219 147,511 293,401 442,533 880,203 2,053,807 3,814,213 6,161,421 11,442,639 26,699,491 80,098,473

Collatz Trajectory (422 steps to reach 1)

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

80,098,473 240,295,420 120,147,710 60,073,855 180,221,566 90,110,783 270,332,350 135,166,175 405,498,526 202,749,263 608,247,790 304,123,895 912,371,686 456,185,843 1,368,557,530 684,278,765 2,052,836,296 1,026,418,148 513,209,074 256,604,537 769,813,612 384,906,806 192,453,403 577,360,210 288,680,105 866,040,316 433,020,158 216,510,079 649,530,238 324,765,119 974,295,358 487,147,679 1,461,443,038 730,721,519 2,192,164,558 1,096,082,279 3,288,246,838 1,644,123,419 4,932,370,258 2,466,185,129 7,398,555,388 3,699,277,694 1,849,638,847 5,548,916,542 2,774,458,271 8,323,374,814 4,161,687,407 12,485,062,222 6,242,531,111 18,727,593,334 9,363,796,667 28,091,390,002 14,045,695,001 42,137,085,004 21,068,542,502 10,534,271,251 31,602,813,754 15,801,406,877 47,404,220,632 23,702,110,316

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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