λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,246,751
41,246,751
3 × 7 × 13 × 23 × 6569
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13 × 23 × 6569
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,640,640
Proper Divisor Sum 29,393,889
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #41246747 ← → #41246753

Radix Representation

Decimal 41246751
Binary 10011101010110000000011111 (26 bits)
Octal 0o235260037
Hexadecimal 0x275601F

Divisor Catalog (32)

1 3 7 13 21 23 39 69 91 161 273 299 483 897 2,093 6,279 6,569 19,707 45,983 85,397 137,949 151,087 256,191 453,261 597,779 1,057,609 1,793,337 1,964,131 3,172,827 5,892,393 13,748,917 41,246,751

Collatz Trajectory (129 steps to reach 1)

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

41,246,751 123,740,254 61,870,127 185,610,382 92,805,191 278,415,574 139,207,787 417,623,362 208,811,681 626,435,044 313,217,522 156,608,761 469,826,284 234,913,142 117,456,571 352,369,714 176,184,857 528,554,572 264,277,286 132,138,643 396,415,930 198,207,965 594,623,896 297,311,948 148,655,974 74,327,987 222,983,962 111,491,981 334,475,944 167,237,972 83,618,986 41,809,493 125,428,480 62,714,240 31,357,120 15,678,560 7,839,280 3,919,640 1,959,820 979,910 489,955 1,469,866 734,933 2,204,800 1,102,400 551,200 275,600 137,800 68,900 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604

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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