λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,092,539
8,092,539
32 × 7 × 13 × 41 × 241
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 41 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,798,784
Proper Divisor Sum 6,706,245
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8092501 ← → #8092541

Radix Representation

Decimal 8092539
Binary 11110110111101101111011 (23 bits)
Octal 0o36675573
Hexadecimal 0x7B7B7B

Divisor Catalog (48)

1 3 7 9 13 21 39 41 63 91 117 123 241 273 287 369 533 723 819 861 1,599 1,687 2,169 2,583 3,133 3,731 4,797 5,061 9,399 9,881 11,193 15,183 21,931 28,197 29,643 33,579 65,793 69,167 88,929 128,453 197,379 207,501 385,359 622,503 899,171 1,156,077 2,697,513 8,092,539

Collatz Trajectory (261 steps to reach 1)

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

8,092,539 24,277,618 12,138,809 36,416,428 18,208,214 9,104,107 27,312,322 13,656,161 40,968,484 20,484,242 10,242,121 30,726,364 15,363,182 7,681,591 23,044,774 11,522,387 34,567,162 17,283,581 51,850,744 25,925,372 12,962,686 6,481,343 19,444,030 9,722,015 29,166,046 14,583,023 43,749,070 21,874,535 65,623,606 32,811,803 98,435,410 49,217,705 147,653,116 73,826,558 36,913,279 110,739,838 55,369,919 166,109,758 83,054,879 249,164,638 124,582,319 373,746,958 186,873,479 560,620,438 280,310,219 840,930,658 420,465,329 1,261,395,988 630,697,994 315,348,997 946,046,992 473,023,496 236,511,748 118,255,874 59,127,937 177,383,812 88,691,906 44,345,953 133,037,860 66,518,930

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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