λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,040,008
4,040,008
23 × 7 × 19 × 3797
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 3797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,115,200
Proper Divisor Sum 5,075,192
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4039991 ← → #4040009

Radix Representation

Decimal 4040008
Binary 1111011010010101001000 (22 bits)
Octal 0o17322510
Hexadecimal 0x3DA548

Divisor Catalog (32)

1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1,064 3,797 7,594 15,188 26,579 30,376 53,158 72,143 106,316 144,286 212,632 288,572 505,001 577,144 1,010,002 2,020,004 4,040,008

Collatz Trajectory (273 steps to reach 1)

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

4,040,008 2,020,004 1,010,002 505,001 1,515,004 757,502 378,751 1,136,254 568,127 1,704,382 852,191 2,556,574 1,278,287 3,834,862 1,917,431 5,752,294 2,876,147 8,628,442 4,314,221 12,942,664 6,471,332 3,235,666 1,617,833 4,853,500 2,426,750 1,213,375 3,640,126 1,820,063 5,460,190 2,730,095 8,190,286 4,095,143 12,285,430 6,142,715 18,428,146 9,214,073 27,642,220 13,821,110 6,910,555 20,731,666 10,365,833 31,097,500 15,548,750 7,774,375 23,323,126 11,661,563 34,984,690 17,492,345 52,477,036 26,238,518 13,119,259 39,357,778 19,678,889 59,036,668 29,518,334 14,759,167 44,277,502 22,138,751 66,416,254 33,208,127

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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