λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,905,624
36,905,624
23 × 72 × 31 × 3037
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7^2 × 31 × 3037
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 83,119,680
Proper Divisor Sum 46,214,056
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #36905611 ← → #36905629

Radix Representation

Decimal 36905624
Binary 10001100110010001010011000 (26 bits)
Octal 0o214621230
Hexadecimal 0x2332298

Divisor Catalog (48)

1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1,519 1,736 3,037 3,038 6,074 6,076 12,148 12,152 21,259 24,296 42,518 85,036 94,147 148,813 170,072 188,294 297,626 376,588 595,252 659,029 753,176 1,190,504 1,318,058 2,636,116 4,613,203 5,272,232 9,226,406 18,452,812 36,905,624

Collatz Trajectory (258 steps to reach 1)

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

36,905,624 18,452,812 9,226,406 4,613,203 13,839,610 6,919,805 20,759,416 10,379,708 5,189,854 2,594,927 7,784,782 3,892,391 11,677,174 5,838,587 17,515,762 8,757,881 26,273,644 13,136,822 6,568,411 19,705,234 9,852,617 29,557,852 14,778,926 7,389,463 22,168,390 11,084,195 33,252,586 16,626,293 49,878,880 24,939,440 12,469,720 6,234,860 3,117,430 1,558,715 4,676,146 2,338,073 7,014,220 3,507,110 1,753,555 5,260,666 2,630,333 7,891,000 3,945,500 1,972,750 986,375 2,959,126 1,479,563 4,438,690 2,219,345 6,658,036 3,329,018 1,664,509 4,993,528 2,496,764 1,248,382 624,191 1,872,574 936,287 2,808,862 1,404,431

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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