λ
Ratio Atlas
Atlas › Integer Profiles › Node 137,280
137,280
26 × 3 × 5 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 512,064
Proper Divisor Sum 374,784
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #137279 ← → #137303

Radix Representation

Decimal 137280
Binary 100001100001000000 (18 bits)
Octal 0o414100
Hexadecimal 0x21840

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 80 88 96 104 110 120 130 132 143 156 160 165 176 192 195 208 220 240 260 264 286 312 320 330 352 390 416 429 440

Collatz Trajectory (82 steps to reach 1)

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

137,280 68,640 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

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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