λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,840
33,840
24 × 32 × 5 × 47
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 116,064
Proper Divisor Sum 82,224
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #33829 ← → #33851

Radix Representation

Decimal 33840
Binary 1000010000110000 (16 bits)
Octal 0o102060
Hexadecimal 0x8430

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1,128 1,410 1,692 1,880 2,115 2,256 2,820 3,384 3,760 4,230 5,640 6,768 8,460 11,280 16,920 33,840

Collatz Trajectory (85 steps to reach 1)

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

33,840 16,920 8,460 4,230 2,115 6,346 3,173 9,520 4,760 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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