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Ratio Atlas
Atlas › Integer Profiles › Node 21,069,375
21,069,375
3 × 54 × 17 × 661
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^4 × 17 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 37,225,584
Proper Divisor Sum 16,156,209
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #21069361 ← → #21069383

Radix Representation

Decimal 21069375
Binary 1010000010111111000111111 (25 bits)
Octal 0o120277077
Hexadecimal 0x1417E3F

Divisor Catalog (40)

1 3 5 15 17 25 51 75 85 125 255 375 425 625 661 1,275 1,875 1,983 2,125 3,305 6,375 9,915 10,625 11,237 16,525 31,875 33,711 49,575 56,185 82,625 168,555 247,875 280,925 413,125 842,775 1,239,375 1,404,625 4,213,875 7,023,125 21,069,375

Collatz Trajectory (128 steps to reach 1)

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

21,069,375 63,208,126 31,604,063 94,812,190 47,406,095 142,218,286 71,109,143 213,327,430 106,663,715 319,991,146 159,995,573 479,986,720 239,993,360 119,996,680 59,998,340 29,999,170 14,999,585 44,998,756 22,499,378 11,249,689 33,749,068 16,874,534 8,437,267 25,311,802 12,655,901 37,967,704 18,983,852 9,491,926 4,745,963 14,237,890 7,118,945 21,356,836 10,678,418 5,339,209 16,017,628 8,008,814 4,004,407 12,013,222 6,006,611 18,019,834 9,009,917 27,029,752 13,514,876 6,757,438 3,378,719 10,136,158 5,068,079 15,204,238 7,602,119 22,806,358 11,403,179 34,209,538 17,104,769 51,314,308 25,657,154 12,828,577 38,485,732 19,242,866 9,621,433 28,864,300

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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