λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,855,396
52,855,396
22 × 11 × 41 × 83 × 353
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 41 × 83 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 104,908,608
Proper Divisor Sum 52,053,212
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #52855393 ← → #52855423

Radix Representation

Decimal 52855396
Binary 11001001101000001001100100 (26 bits)
Octal 0o311501144
Hexadecimal 0x3268264

Divisor Catalog (48)

1 2 4 11 22 41 44 82 83 164 166 332 353 451 706 902 913 1,412 1,804 1,826 3,403 3,652 3,883 6,806 7,766 13,612 14,473 15,532 28,946 29,299 37,433 57,892 58,598 74,866 117,196 149,732 159,203 318,406 322,289 636,812 644,578 1,201,259 1,289,156 2,402,518 4,805,036 13,213,849 26,427,698 52,855,396

Collatz Trajectory (150 steps to reach 1)

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

52,855,396 26,427,698 13,213,849 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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