λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,735,680
2,735,680
26 × 5 × 83 × 103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 83 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,656,832
Proper Divisor Sum 3,921,152
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2735671 ← → #2735683

Radix Representation

Decimal 2735680
Binary 1010011011111001000000 (22 bits)
Octal 0o12337100
Hexadecimal 0x29BE40

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 64 80 83 103 160 166 206 320 332 412 415 515 664 824 830 1,030 1,328 1,648 1,660 2,060 2,656 3,296 3,320 4,120 5,312 6,592 6,640 8,240 8,549 13,280 16,480 17,098 26,560 32,960 34,196 42,745 68,392 85,490 136,784 170,980 273,568 341,960 547,136 683,920 1,367,840 2,735,680

Collatz Trajectory (63 steps to reach 1)

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

2,735,680 1,367,840 683,920 341,960 170,980 85,490 42,745 128,236 64,118 32,059 96,178 48,089 144,268 72,134 36,067 108,202 54,101 162,304 81,152 40,576 20,288 10,144 5,072 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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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