λ
Ratio Atlas
Atlas › Integer Profiles › Node 809,248
809,248
25 × 113 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 11^3 × 19
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,844,640
Proper Divisor Sum 1,035,392
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #809243 ← → #809261

Radix Representation

Decimal 809248
Binary 11000101100100100000 (20 bits)
Octal 0o3054440
Hexadecimal 0xC5920

Divisor Catalog (48)

1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 176 209 242 304 352 418 484 608 836 968 1,331 1,672 1,936 2,299 2,662 3,344 3,872 4,598 5,324 6,688 9,196 10,648 18,392 21,296 25,289 36,784 42,592 50,578 73,568 101,156 202,312 404,624 809,248

Collatz Trajectory (61 steps to reach 1)

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

809,248 404,624 202,312 101,156 50,578 25,289 75,868 37,934 18,967 56,902 28,451 85,354 42,677 128,032 64,016 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4

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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