λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,915,415
80,915,415
3 × 5 × 73 × 15727
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^3 × 15727
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 150,988,800
Proper Divisor Sum 70,073,385
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #80915413 ← → #80915441

Radix Representation

Decimal 80915415
Binary 100110100101010101111010111 (27 bits)
Octal 0o464525727
Hexadecimal 0x4D2ABD7

Divisor Catalog (32)

1 3 5 7 15 21 35 49 105 147 245 343 735 1,029 1,715 5,145 15,727 47,181 78,635 110,089 235,905 330,267 550,445 770,623 1,651,335 2,311,869 3,853,115 5,394,361 11,559,345 16,183,083 26,971,805 80,915,415

Collatz Trajectory (391 steps to reach 1)

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

80,915,415 242,746,246 121,373,123 364,119,370 182,059,685 546,179,056 273,089,528 136,544,764 68,272,382 34,136,191 102,408,574 51,204,287 153,612,862 76,806,431 230,419,294 115,209,647 345,628,942 172,814,471 518,443,414 259,221,707 777,665,122 388,832,561 1,166,497,684 583,248,842 291,624,421 874,873,264 437,436,632 218,718,316 109,359,158 54,679,579 164,038,738 82,019,369 246,058,108 123,029,054 61,514,527 184,543,582 92,271,791 276,815,374 138,407,687 415,223,062 207,611,531 622,834,594 311,417,297 934,251,892 467,125,946 233,562,973 700,688,920 350,344,460 175,172,230 87,586,115 262,758,346 131,379,173 394,137,520 197,068,760 98,534,380 49,267,190 24,633,595 73,900,786 36,950,393 110,851,180

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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