λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,390
33,390
2 × 32 × 5 × 7 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 101,088
Proper Divisor Sum 67,698
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #33377 ← → #33391

Radix Representation

Decimal 33390
Binary 1000001001101110 (16 bits)
Octal 0o101156
Hexadecimal 0x826E

Divisor Catalog (48)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 954 1,113 1,590 1,855 2,226 2,385 3,339 3,710 4,770 5,565 6,678 11,130 16,695 33,390

Collatz Trajectory (67 steps to reach 1)

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

33,390 16,695 50,086 25,043 75,130 37,565 112,696 56,348 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40

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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