λ
Ratio Atlas
Atlas › Integer Profiles › Node 98,517,441
98,517,441
3 × 11 × 23 × 293 × 443
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 23 × 293 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 150,377,472
Proper Divisor Sum 51,860,031
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #98517427 ← → #98517449

Radix Representation

Decimal 98517441
Binary 101110111110100000111000001 (27 bits)
Octal 0o567640701
Hexadecimal 0x5DF41C1

Divisor Catalog (32)

1 3 11 23 33 69 253 293 443 759 879 1,329 3,223 4,873 6,739 9,669 10,189 14,619 20,217 30,567 74,129 112,079 129,799 222,387 336,237 389,397 1,427,789 2,985,377 4,283,367 8,956,131 32,839,147 98,517,441

Collatz Trajectory (200 steps to reach 1)

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

98,517,441 295,552,324 147,776,162 73,888,081 221,664,244 110,832,122 55,416,061 166,248,184 83,124,092 41,562,046 20,781,023 62,343,070 31,171,535 93,514,606 46,757,303 140,271,910 70,135,955 210,407,866 105,203,933 315,611,800 157,805,900 78,902,950 39,451,475 118,354,426 59,177,213 177,531,640 88,765,820 44,382,910 22,191,455 66,574,366 33,287,183 99,861,550 49,930,775 149,792,326 74,896,163 224,688,490 112,344,245 337,032,736 168,516,368 84,258,184 42,129,092 21,064,546 10,532,273 31,596,820 15,798,410 7,899,205 23,697,616 11,848,808 5,924,404 2,962,202 1,481,101 4,443,304 2,221,652 1,110,826 555,413 1,666,240 833,120 416,560 208,280 104,140

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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