λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,680
67,680
25 × 32 × 5 × 47
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 235,872
Proper Divisor Sum 168,192
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #67679 ← → #67699

Radix Representation

Decimal 67680
Binary 10000100001100000 (17 bits)
Octal 0o204140
Hexadecimal 0x10860

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 940 1,128 1,410 1,440 1,504 1,692 1,880 2,115 2,256 2,820 3,384 3,760

Collatz Trajectory (86 steps to reach 1)

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

67,680 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

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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