λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,960
3,960
23 × 32 × 5 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,040
Proper Divisor Sum 10,080
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3947 ← → #3967

Radix Representation

Decimal 3960
Binary 111101111000 (12 bits)
Octal 0o7570
Hexadecimal 0xF78

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1,320 1,980 3,960

Collatz Trajectory (100 steps to reach 1)

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

3,960 1,980 990 495 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911

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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