λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,486,396
12,486,396
22 × 3 × 132 × 47 × 131
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13^2 × 47 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 32,465,664
Proper Divisor Sum 19,979,268
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #12486391 ← → #12486403

Radix Representation

Decimal 12486396
Binary 101111101000011011111100 (24 bits)
Octal 0o57503374
Hexadecimal 0xBE86FC

Divisor Catalog (60 of 72)

1 2 3 4 6 12 13 26 39 47 52 78 94 131 141 156 169 188 262 282 338 393 507 524 564 611 676 786 1,014 1,222 1,572 1,703 1,833 2,028 2,444 3,406 3,666 5,109 6,157 6,812 7,332 7,943 10,218 12,314 15,886 18,471 20,436 22,139 23,829 24,628 31,772 36,942 44,278 47,658 66,417 73,884 80,041 88,556 95,316 132,834

Collatz Trajectory (184 steps to reach 1)

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

12,486,396 6,243,198 3,121,599 9,364,798 4,682,399 14,047,198 7,023,599 21,070,798 10,535,399 31,606,198 15,803,099 47,409,298 23,704,649 71,113,948 35,556,974 17,778,487 53,335,462 26,667,731 80,003,194 40,001,597 120,004,792 60,002,396 30,001,198 15,000,599 45,001,798 22,500,899 67,502,698 33,751,349 101,254,048 50,627,024 25,313,512 12,656,756 6,328,378 3,164,189 9,492,568 4,746,284 2,373,142 1,186,571 3,559,714 1,779,857 5,339,572 2,669,786 1,334,893 4,004,680 2,002,340 1,001,170 500,585 1,501,756 750,878 375,439 1,126,318 563,159 1,689,478 844,739 2,534,218 1,267,109 3,801,328 1,900,664 950,332 475,166

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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