λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,152,576
4,152,576
28 × 3 × 5407
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3 × 5407
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,053,952
Proper Divisor Sum 6,901,376
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4152557 ← → #4152587

Radix Representation

Decimal 4152576
Binary 1111110101110100000000 (22 bits)
Octal 0o17656400
Hexadecimal 0x3F5D00

Divisor Catalog (36)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 5,407 10,814 16,221 21,628 32,442 43,256 64,884 86,512 129,768 173,024 259,536 346,048 519,072 692,096 1,038,144 1,384,192 2,076,288 4,152,576

Collatz Trajectory (167 steps to reach 1)

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

4,152,576 2,076,288 1,038,144 519,072 259,536 129,768 64,884 32,442 16,221 48,664 24,332 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124

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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