λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,013,768
2,013,768
23 × 33 × 9323
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 9323
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,594,400
Proper Divisor Sum 3,580,632
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2013761 ← → #2013779

Radix Representation

Decimal 2013768
Binary 111101011101001001000 (21 bits)
Octal 0o7535110
Hexadecimal 0x1EBA48

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9,323 18,646 27,969 37,292 55,938 74,584 83,907 111,876 167,814 223,752 251,721 335,628 503,442 671,256 1,006,884 2,013,768

Collatz Trajectory (91 steps to reach 1)

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

2,013,768 1,006,884 503,442 251,721 755,164 377,582 188,791 566,374 283,187 849,562 424,781 1,274,344 637,172 318,586 159,293 477,880 238,940 119,470 59,735 179,206 89,603 268,810 134,405 403,216 201,608 100,804 50,402 25,201 75,604 37,802 18,901 56,704 28,352 14,176 7,088 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358

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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