λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,556,830
13,556,830
2 × 5 × 72 × 73 × 379
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 73 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,851,120
Proper Divisor Sum 15,294,290
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #13556783 ← → #13556831

Radix Representation

Decimal 13556830
Binary 110011101101110001011110 (24 bits)
Octal 0o63556136
Hexadecimal 0xCEDC5E

Divisor Catalog (48)

1 2 5 7 10 14 35 49 70 73 98 146 245 365 379 490 511 730 758 1,022 1,895 2,555 2,653 3,577 3,790 5,110 5,306 7,154 13,265 17,885 18,571 26,530 27,667 35,770 37,142 55,334 92,855 138,335 185,710 193,669 276,670 387,338 968,345 1,355,683 1,936,690 2,711,366 6,778,415 13,556,830

Collatz Trajectory (161 steps to reach 1)

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

13,556,830 6,778,415 20,335,246 10,167,623 30,502,870 15,251,435 45,754,306 22,877,153 68,631,460 34,315,730 17,157,865 51,473,596 25,736,798 12,868,399 38,605,198 19,302,599 57,907,798 28,953,899 86,861,698 43,430,849 130,292,548 65,146,274 32,573,137 97,719,412 48,859,706 24,429,853 73,289,560 36,644,780 18,322,390 9,161,195 27,483,586 13,741,793 41,225,380 20,612,690 10,306,345 30,919,036 15,459,518 7,729,759 23,189,278 11,594,639 34,783,918 17,391,959 52,175,878 26,087,939 78,263,818 39,131,909 117,395,728 58,697,864 29,348,932 14,674,466 7,337,233 22,011,700 11,005,850 5,502,925 16,508,776 8,254,388 4,127,194 2,063,597 6,190,792 3,095,396

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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