λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,052,575
2,052,575
52 × 7 × 37 × 317
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 7 × 37 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,996,832
Proper Divisor Sum 944,257
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2052569 ← → #2052577

Radix Representation

Decimal 2052575
Binary 111110101000111011111 (21 bits)
Octal 0o7650737
Hexadecimal 0x1F51DF

Divisor Catalog (24)

1 5 7 25 35 37 175 185 259 317 925 1,295 1,585 2,219 6,475 7,925 11,095 11,729 55,475 58,645 82,103 293,225 410,515 2,052,575

Collatz Trajectory (171 steps to reach 1)

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

2,052,575 6,157,726 3,078,863 9,236,590 4,618,295 13,854,886 6,927,443 20,782,330 10,391,165 31,173,496 15,586,748 7,793,374 3,896,687 11,690,062 5,845,031 17,535,094 8,767,547 26,302,642 13,151,321 39,453,964 19,726,982 9,863,491 29,590,474 14,795,237 44,385,712 22,192,856 11,096,428 5,548,214 2,774,107 8,322,322 4,161,161 12,483,484 6,241,742 3,120,871 9,362,614 4,681,307 14,043,922 7,021,961 21,065,884 10,532,942 5,266,471 15,799,414 7,899,707 23,699,122 11,849,561 35,548,684 17,774,342 8,887,171 26,661,514 13,330,757 39,992,272 19,996,136 9,998,068 4,999,034 2,499,517 7,498,552 3,749,276 1,874,638 937,319 2,811,958

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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