λ
Ratio Atlas
Atlas › Integer Profiles › Node 513,263
513,263
73 × 79 × 89
Deficient Odd Composite

Prime Factor Structure

Factorization String 73 × 79 × 89
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 532,800
Proper Divisor Sum 19,537
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #513257 ← → #513269

Radix Representation

Decimal 513263
Binary 1111101010011101111 (19 bits)
Octal 0o1752357
Hexadecimal 0x7D4EF

Divisor Catalog (8)

1 73 79 89 5,767 6,497 7,031 513,263

Collatz Trajectory (164 steps to reach 1)

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

513,263 1,539,790 769,895 2,309,686 1,154,843 3,464,530 1,732,265 5,196,796 2,598,398 1,299,199 3,897,598 1,948,799 5,846,398 2,923,199 8,769,598 4,384,799 13,154,398 6,577,199 19,731,598 9,865,799 29,597,398 14,798,699 44,396,098 22,198,049 66,594,148 33,297,074 16,648,537 49,945,612 24,972,806 12,486,403 37,459,210 18,729,605 56,188,816 28,094,408 14,047,204 7,023,602 3,511,801 10,535,404 5,267,702 2,633,851 7,901,554 3,950,777 11,852,332 5,926,166 2,963,083 8,889,250 4,444,625 13,333,876 6,666,938 3,333,469 10,000,408 5,000,204 2,500,102 1,250,051 3,750,154 1,875,077 5,625,232 2,812,616 1,406,308 703,154

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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