λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,796,040
7,796,040
23 × 3 × 5 × 7 × 9281
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 9281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,732,160
Proper Divisor Sum 18,936,120
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7796039 ← → #7796059

Radix Representation

Decimal 7796040
Binary 11101101111010101001000 (23 bits)
Octal 0o35572510
Hexadecimal 0x76F548

Divisor Catalog (60 of 64)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 9,281 18,562 27,843 37,124 46,405 55,686 64,967 74,248 92,810 111,372 129,934 139,215 185,620 194,901 222,744 259,868 278,430 324,835 371,240 389,802 519,736 556,860 649,670 779,604 974,505 1,113,720 1,299,340 1,559,208

Collatz Trajectory (217 steps to reach 1)

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

7,796,040 3,898,020 1,949,010 974,505 2,923,516 1,461,758 730,879 2,192,638 1,096,319 3,288,958 1,644,479 4,933,438 2,466,719 7,400,158 3,700,079 11,100,238 5,550,119 16,650,358 8,325,179 24,975,538 12,487,769 37,463,308 18,731,654 9,365,827 28,097,482 14,048,741 42,146,224 21,073,112 10,536,556 5,268,278 2,634,139 7,902,418 3,951,209 11,853,628 5,926,814 2,963,407 8,890,222 4,445,111 13,335,334 6,667,667 20,003,002 10,001,501 30,004,504 15,002,252 7,501,126 3,750,563 11,251,690 5,625,845 16,877,536 8,438,768 4,219,384 2,109,692 1,054,846 527,423 1,582,270 791,135 2,373,406 1,186,703 3,560,110 1,780,055

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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