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Ratio Atlas
Atlas › Integer Profiles › Node 2,976,576
2,976,576
26 × 3 × 37 × 419
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 37 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 8,107,680
Proper Divisor Sum 5,131,104
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2976569 ← → #2976583

Radix Representation

Decimal 2976576
Binary 1011010110101101000000 (22 bits)
Octal 0o13265500
Hexadecimal 0x2D6B40

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 419 444 592 838 888 1,184 1,257 1,676 1,776 2,368 2,514 3,352 3,552 5,028 6,704 7,104 10,056 13,408 15,503 20,112 26,816 31,006 40,224 46,509 62,012 80,448 93,018 124,024 186,036 248,048 372,072 496,096 744,144 992,192 1,488,288 2,976,576

Collatz Trajectory (182 steps to reach 1)

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

2,976,576 1,488,288 744,144 372,072 186,036 93,018 46,509 139,528 69,764 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

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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