λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,926,673
36,926,673
3 × 7 × 31 × 131 × 433
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 31 × 131 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,662,912
Proper Divisor Sum 21,736,239
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36926653 ← → #36926683

Radix Representation

Decimal 36926673
Binary 10001100110111010011010001 (26 bits)
Octal 0o214672321
Hexadecimal 0x23374D1

Divisor Catalog (32)

1 3 7 21 31 93 131 217 393 433 651 917 1,299 2,751 3,031 4,061 9,093 12,183 13,423 28,427 40,269 56,723 85,281 93,961 170,169 281,883 397,061 1,191,183 1,758,413 5,275,239 12,308,891 36,926,673

Collatz Trajectory (227 steps to reach 1)

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

36,926,673 110,780,020 55,390,010 27,695,005 83,085,016 41,542,508 20,771,254 10,385,627 31,156,882 15,578,441 46,735,324 23,367,662 11,683,831 35,051,494 17,525,747 52,577,242 26,288,621 78,865,864 39,432,932 19,716,466 9,858,233 29,574,700 14,787,350 7,393,675 22,181,026 11,090,513 33,271,540 16,635,770 8,317,885 24,953,656 12,476,828 6,238,414 3,119,207 9,357,622 4,678,811 14,036,434 7,018,217 21,054,652 10,527,326 5,263,663 15,790,990 7,895,495 23,686,486 11,843,243 35,529,730 17,764,865 53,294,596 26,647,298 13,323,649 39,970,948 19,985,474 9,992,737 29,978,212 14,989,106 7,494,553 22,483,660 11,241,830 5,620,915 16,862,746 8,431,373

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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