λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,290,040
28,290,040
23 × 5 × 17 × 41603
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 41603
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,398,480
Proper Divisor Sum 39,108,440
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #28290037 ← → #28290047

Radix Representation

Decimal 28290040
Binary 1101011111010101111111000 (25 bits)
Octal 0o153725770
Hexadecimal 0x1AFABF8

Divisor Catalog (32)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 41,603 83,206 166,412 208,015 332,824 416,030 707,251 832,060 1,414,502 1,664,120 2,829,004 3,536,255 5,658,008 7,072,510 14,145,020 28,290,040

Collatz Trajectory (162 steps to reach 1)

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

28,290,040 14,145,020 7,072,510 3,536,255 10,608,766 5,304,383 15,913,150 7,956,575 23,869,726 11,934,863 35,804,590 17,902,295 53,706,886 26,853,443 80,560,330 40,280,165 120,840,496 60,420,248 30,210,124 15,105,062 7,552,531 22,657,594 11,328,797 33,986,392 16,993,196 8,496,598 4,248,299 12,744,898 6,372,449 19,117,348 9,558,674 4,779,337 14,338,012 7,169,006 3,584,503 10,753,510 5,376,755 16,130,266 8,065,133 24,195,400 12,097,700 6,048,850 3,024,425 9,073,276 4,536,638 2,268,319 6,804,958 3,402,479 10,207,438 5,103,719 15,311,158 7,655,579 22,966,738 11,483,369 34,450,108 17,225,054 8,612,527 25,837,582 12,918,791 38,756,374

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #8,365,252 Feeder #1,448,561 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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