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Ratio Atlas
Atlas › Integer Profiles › Node 5,000,475
5,000,475
3 × 52 × 61 × 1093
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 61 × 1093
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,410,672
Proper Divisor Sum 3,410,197
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5000473 ← → #5000491

Radix Representation

Decimal 5000475
Binary 10011000100110100011011 (23 bits)
Octal 0o23046433
Hexadecimal 0x4C4D1B

Divisor Catalog (24)

1 3 5 15 25 61 75 183 305 915 1,093 1,525 3,279 4,575 5,465 16,395 27,325 66,673 81,975 200,019 333,365 1,000,095 1,666,825 5,000,475

Collatz Trajectory (219 steps to reach 1)

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

5,000,475 15,001,426 7,500,713 22,502,140 11,251,070 5,625,535 16,876,606 8,438,303 25,314,910 12,657,455 37,972,366 18,986,183 56,958,550 28,479,275 85,437,826 42,718,913 128,156,740 64,078,370 32,039,185 96,117,556 48,058,778 24,029,389 72,088,168 36,044,084 18,022,042 9,011,021 27,033,064 13,516,532 6,758,266 3,379,133 10,137,400 5,068,700 2,534,350 1,267,175 3,801,526 1,900,763 5,702,290 2,851,145 8,553,436 4,276,718 2,138,359 6,415,078 3,207,539 9,622,618 4,811,309 14,433,928 7,216,964 3,608,482 1,804,241 5,412,724 2,706,362 1,353,181 4,059,544 2,029,772 1,014,886 507,443 1,522,330 761,165 2,283,496 1,141,748

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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