Integer 440,559 Profile | Ratio Atlas

440,559

3⁵ × 7² × 37

Prime Factor Structure

Factorization String 3^5 × 7^2 × 37

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 788,424

Proper Divisor Sum 347,865

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #440551 ← → #440567

Radix Representation

Decimal	440559
Binary	1101011100011101111 (19 bits)
Octal	0o1534357
Hexadecimal	0x6B8EF

Divisor Catalog (36)

1 3 7 9 21 27 37 49 63 81 111 147 189 243 259 333 441 567 777 999 1,323 1,701 1,813 2,331 2,997 3,969 5,439 6,993 8,991 11,907 16,317 20,979 48,951 62,937 146,853 440,559

Collatz Trajectory (169 steps to reach 1)

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

440,559 1,321,678 660,839 1,982,518 991,259 2,973,778 1,486,889 4,460,668 2,230,334 1,115,167 3,345,502 1,672,751 5,018,254 2,509,127 7,527,382 3,763,691 11,291,074 5,645,537 16,936,612 8,468,306 4,234,153 12,702,460 6,351,230 3,175,615 9,526,846 4,763,423 14,290,270 7,145,135 21,435,406 10,717,703 32,153,110 16,076,555 48,229,666 24,114,833 72,344,500 36,172,250 18,086,125 54,258,376 27,129,188 13,564,594 6,782,297 20,346,892 10,173,446 5,086,723 15,260,170 7,630,085 22,890,256 11,445,128 5,722,564 2,861,282 1,430,641 4,291,924 2,145,962 1,072,981 3,218,944 1,609,472 804,736 402,368 201,184 100,592

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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