λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,459,947
51,459,947
73 × 11 × 23 × 593
Deficient Odd Composite

Prime Factor Structure

Factorization String 7^3 × 11 × 23 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,428,800
Proper Divisor Sum 16,968,853
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #51459931 ← → #51459997

Radix Representation

Decimal 51459947
Binary 11000100010011011101101011 (26 bits)
Octal 0o304233553
Hexadecimal 0x311376B

Divisor Catalog (32)

1 7 11 23 49 77 161 253 343 539 593 1,127 1,771 3,773 4,151 6,523 7,889 12,397 13,639 29,057 45,661 86,779 95,473 150,029 203,399 319,627 668,311 1,050,203 2,237,389 4,678,177 7,351,421 51,459,947

Collatz Trajectory (137 steps to reach 1)

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

51,459,947 154,379,842 77,189,921 231,569,764 115,784,882 57,892,441 173,677,324 86,838,662 43,419,331 130,257,994 65,128,997 195,386,992 97,693,496 48,846,748 24,423,374 12,211,687 36,635,062 18,317,531 54,952,594 27,476,297 82,428,892 41,214,446 20,607,223 61,821,670 30,910,835 92,732,506 46,366,253 139,098,760 69,549,380 34,774,690 17,387,345 52,162,036 26,081,018 13,040,509 39,121,528 19,560,764 9,780,382 4,890,191 14,670,574 7,335,287 22,005,862 11,002,931 33,008,794 16,504,397 49,513,192 24,756,596 12,378,298 6,189,149 18,567,448 9,283,724 4,641,862 2,320,931 6,962,794 3,481,397 10,444,192 5,222,096 2,611,048 1,305,524 652,762 326,381

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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