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Ratio Atlas
Atlas › Integer Profiles › Node 52,855,397
52,855,397
7 × 17 × 19 × 97 × 241
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 17 × 19 × 97 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,302,080
Proper Divisor Sum 15,446,683
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #52855393 ← → #52855423

Radix Representation

Decimal 52855397
Binary 11001001101000001001100101 (26 bits)
Octal 0o311501145
Hexadecimal 0x3268265

Divisor Catalog (32)

1 7 17 19 97 119 133 241 323 679 1,649 1,687 1,843 2,261 4,097 4,579 11,543 12,901 23,377 28,679 31,331 32,053 77,843 163,639 219,317 397,409 444,163 544,901 2,781,863 3,109,141 7,550,771 52,855,397

Collatz Trajectory (150 steps to reach 1)

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

52,855,397 158,566,192 79,283,096 39,641,548 19,820,774 9,910,387 29,731,162 14,865,581 44,596,744 22,298,372 11,149,186 5,574,593 16,723,780 8,361,890 4,180,945 12,542,836 6,271,418 3,135,709 9,407,128 4,703,564 2,351,782 1,175,891 3,527,674 1,763,837 5,291,512 2,645,756 1,322,878 661,439 1,984,318 992,159 2,976,478 1,488,239 4,464,718 2,232,359 6,697,078 3,348,539 10,045,618 5,022,809 15,068,428 7,534,214 3,767,107 11,301,322 5,650,661 16,951,984 8,475,992 4,237,996 2,118,998 1,059,499 3,178,498 1,589,249 4,767,748 2,383,874 1,191,937 3,575,812 1,787,906 893,953 2,681,860 1,340,930 670,465 2,011,396

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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