λ
Ratio Atlas
Atlas › Integer Profiles › Node 38,760
38,760
23 × 3 × 5 × 17 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 17 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 129,600
Proper Divisor Sum 90,840
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #38749 ← → #38767

Radix Representation

Decimal 38760
Binary 1001011101101000 (16 bits)
Octal 0o113550
Hexadecimal 0x9768

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 646 680 760 969 1,020 1,140 1,292 1,615 1,938 2,040 2,280 2,584 3,230 3,876 4,845 6,460 7,752

Collatz Trajectory (75 steps to reach 1)

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

38,760 19,380 9,690 4,845 14,536 7,268 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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