λ
Ratio Atlas
Atlas › Integer Profiles › Node 98,413,374
98,413,374
2 × 3 × 17 × 61 × 15817
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 17 × 61 × 15817
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 211,834,656
Proper Divisor Sum 113,421,282
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #98413373 ← → #98413397

Radix Representation

Decimal 98413374
Binary 101110111011010101100111110 (27 bits)
Octal 0o567325476
Hexadecimal 0x5DDAB3E

Divisor Catalog (32)

1 2 3 6 17 34 51 61 102 122 183 366 1,037 2,074 3,111 6,222 15,817 31,634 47,451 94,902 268,889 537,778 806,667 964,837 1,613,334 1,929,674 2,894,511 5,789,022 16,402,229 32,804,458 49,206,687 98,413,374

Collatz Trajectory (275 steps to reach 1)

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

98,413,374 49,206,687 147,620,062 73,810,031 221,430,094 110,715,047 332,145,142 166,072,571 498,217,714 249,108,857 747,326,572 373,663,286 186,831,643 560,494,930 280,247,465 840,742,396 420,371,198 210,185,599 630,556,798 315,278,399 945,835,198 472,917,599 1,418,752,798 709,376,399 2,128,129,198 1,064,064,599 3,192,193,798 1,596,096,899 4,788,290,698 2,394,145,349 7,182,436,048 3,591,218,024 1,795,609,012 897,804,506 448,902,253 1,346,706,760 673,353,380 336,676,690 168,338,345 505,015,036 252,507,518 126,253,759 378,761,278 189,380,639 568,141,918 284,070,959 852,212,878 426,106,439 1,278,319,318 639,159,659 1,917,478,978 958,739,489 2,876,218,468 1,438,109,234 719,054,617 2,157,163,852 1,078,581,926 539,290,963 1,617,872,890 808,936,445

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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