λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,242,558
13,242,558
2 × 3 × 7 × 172 × 1091
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17^2 × 1091
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,183,424
Proper Divisor Sum 18,940,866
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #13242547 ← → #13242587

Radix Representation

Decimal 13242558
Binary 110010100001000010111110 (24 bits)
Octal 0o62410276
Hexadecimal 0xCA10BE

Divisor Catalog (48)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 289 357 578 714 867 1,091 1,734 2,023 2,182 3,273 4,046 6,069 6,546 7,637 12,138 15,274 18,547 22,911 37,094 45,822 55,641 111,282 129,829 259,658 315,299 389,487 630,598 778,974 945,897 1,891,794 2,207,093 4,414,186 6,621,279 13,242,558

Collatz Trajectory (148 steps to reach 1)

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

13,242,558 6,621,279 19,863,838 9,931,919 29,795,758 14,897,879 44,693,638 22,346,819 67,040,458 33,520,229 100,560,688 50,280,344 25,140,172 12,570,086 6,285,043 18,855,130 9,427,565 28,282,696 14,141,348 7,070,674 3,535,337 10,606,012 5,303,006 2,651,503 7,954,510 3,977,255 11,931,766 5,965,883 17,897,650 8,948,825 26,846,476 13,423,238 6,711,619 20,134,858 10,067,429 30,202,288 15,101,144 7,550,572 3,775,286 1,887,643 5,662,930 2,831,465 8,494,396 4,247,198 2,123,599 6,370,798 3,185,399 9,556,198 4,778,099 14,334,298 7,167,149 21,501,448 10,750,724 5,375,362 2,687,681 8,063,044 4,031,522 2,015,761 6,047,284 3,023,642

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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