λ
Ratio Atlas
Atlas › Integer Profiles › Node 34,320
34,320
24 × 3 × 5 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 124,992
Proper Divisor Sum 90,672
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #34319 ← → #34327

Radix Representation

Decimal 34320
Binary 1000011000010000 (16 bits)
Octal 0o103020
Hexadecimal 0x8610

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858

Collatz Trajectory (80 steps to reach 1)

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

34,320 17,160 8,580 4,290 2,145 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37

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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