λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,563,375
6,563,375
53 × 7 × 13 × 577
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^3 × 7 × 13 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,098,816
Proper Divisor Sum 3,535,441
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6563371 ← → #6563383

Radix Representation

Decimal 6563375
Binary 11001000010011000101111 (23 bits)
Octal 0o31023057
Hexadecimal 0x64262F

Divisor Catalog (32)

1 5 7 13 25 35 65 91 125 175 325 455 577 875 1,625 2,275 2,885 4,039 7,501 11,375 14,425 20,195 37,505 52,507 72,125 100,975 187,525 262,535 504,875 937,625 1,312,675 6,563,375

Collatz Trajectory (271 steps to reach 1)

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

6,563,375 19,690,126 9,845,063 29,535,190 14,767,595 44,302,786 22,151,393 66,454,180 33,227,090 16,613,545 49,840,636 24,920,318 12,460,159 37,380,478 18,690,239 56,070,718 28,035,359 84,106,078 42,053,039 126,159,118 63,079,559 189,238,678 94,619,339 283,858,018 141,929,009 425,787,028 212,893,514 106,446,757 319,340,272 159,670,136 79,835,068 39,917,534 19,958,767 59,876,302 29,938,151 89,814,454 44,907,227 134,721,682 67,360,841 202,082,524 101,041,262 50,520,631 151,561,894 75,780,947 227,342,842 113,671,421 341,014,264 170,507,132 85,253,566 42,626,783 127,880,350 63,940,175 191,820,526 95,910,263 287,730,790 143,865,395 431,596,186 215,798,093 647,394,280 323,697,140

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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