λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,311,329
80,311,329
32 × 7 × 181 × 7043
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 181 × 7043
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 133,328,832
Proper Divisor Sum 53,017,503
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #80311327 ← → #80311339

Radix Representation

Decimal 80311329
Binary 100110010010111010000100001 (27 bits)
Octal 0o462272041
Hexadecimal 0x4C97421

Divisor Catalog (24)

1 3 7 9 21 63 181 543 1,267 1,629 3,801 7,043 11,403 21,129 49,301 63,387 147,903 443,709 1,274,783 3,824,349 8,923,481 11,473,047 26,770,443 80,311,329

Collatz Trajectory (272 steps to reach 1)

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

80,311,329 240,933,988 120,466,994 60,233,497 180,700,492 90,350,246 45,175,123 135,525,370 67,762,685 203,288,056 101,644,028 50,822,014 25,411,007 76,233,022 38,116,511 114,349,534 57,174,767 171,524,302 85,762,151 257,286,454 128,643,227 385,929,682 192,964,841 578,894,524 289,447,262 144,723,631 434,170,894 217,085,447 651,256,342 325,628,171 976,884,514 488,442,257 1,465,326,772 732,663,386 366,331,693 1,098,995,080 549,497,540 274,748,770 137,374,385 412,123,156 206,061,578 103,030,789 309,092,368 154,546,184 77,273,092 38,636,546 19,318,273 57,954,820 28,977,410 14,488,705 43,466,116 21,733,058 10,866,529 32,599,588 16,299,794 8,149,897 24,449,692 12,224,846 6,112,423 18,337,270

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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