λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,979,815
45,979,815
3 × 5 × 7 × 17 × 25759
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 17 × 25759
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 89,026,560
Proper Divisor Sum 43,046,745
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #45979811 ← → #45979823

Radix Representation

Decimal 45979815
Binary 10101111011001100010100111 (26 bits)
Octal 0o257314247
Hexadecimal 0x2BD98A7

Divisor Catalog (32)

1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1,785 25,759 77,277 128,795 180,313 386,385 437,903 540,939 901,565 1,313,709 2,189,515 2,704,695 3,065,321 6,568,545 9,195,963 15,326,605 45,979,815

Collatz Trajectory (235 steps to reach 1)

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

45,979,815 137,939,446 68,969,723 206,909,170 103,454,585 310,363,756 155,181,878 77,590,939 232,772,818 116,386,409 349,159,228 174,579,614 87,289,807 261,869,422 130,934,711 392,804,134 196,402,067 589,206,202 294,603,101 883,809,304 441,904,652 220,952,326 110,476,163 331,428,490 165,714,245 497,142,736 248,571,368 124,285,684 62,142,842 31,071,421 93,214,264 46,607,132 23,303,566 11,651,783 34,955,350 17,477,675 52,433,026 26,216,513 78,649,540 39,324,770 19,662,385 58,987,156 29,493,578 14,746,789 44,240,368 22,120,184 11,060,092 5,530,046 2,765,023 8,295,070 4,147,535 12,442,606 6,221,303 18,663,910 9,331,955 27,995,866 13,997,933 41,993,800 20,996,900 10,498,450

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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