λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,933,468
36,933,468
22 × 3 × 11 × 13 × 21523
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 13 × 21523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 101,248,896
Proper Divisor Sum 64,315,428
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36933467 ← → #36933499

Radix Representation

Decimal 36933468
Binary 10001100111000111101011100 (26 bits)
Octal 0o214707534
Hexadecimal 0x2338F5C

Divisor Catalog (48)

1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1,716 21,523 43,046 64,569 86,092 129,138 236,753 258,276 279,799 473,506 559,598 710,259 839,397 947,012 1,119,196 1,420,518 1,678,794 2,841,036 3,077,789 3,357,588 6,155,578 9,233,367 12,311,156 18,466,734 36,933,468

Collatz Trajectory (214 steps to reach 1)

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

36,933,468 18,466,734 9,233,367 27,700,102 13,850,051 41,550,154 20,775,077 62,325,232 31,162,616 15,581,308 7,790,654 3,895,327 11,685,982 5,842,991 17,528,974 8,764,487 26,293,462 13,146,731 39,440,194 19,720,097 59,160,292 29,580,146 14,790,073 44,370,220 22,185,110 11,092,555 33,277,666 16,638,833 49,916,500 24,958,250 12,479,125 37,437,376 18,718,688 9,359,344 4,679,672 2,339,836 1,169,918 584,959 1,754,878 877,439 2,632,318 1,316,159 3,948,478 1,974,239 5,922,718 2,961,359 8,884,078 4,442,039 13,326,118 6,663,059 19,989,178 9,994,589 29,983,768 14,991,884 7,495,942 3,747,971 11,243,914 5,621,957 16,865,872 8,432,936

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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