λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,200,832
4,200,832
27 × 37 × 887
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 37 × 887
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,604,720
Proper Divisor Sum 4,403,888
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4200827 ← → #4200863

Radix Representation

Decimal 4200832
Binary 10000000001100110000000 (23 bits)
Octal 0o20014600
Hexadecimal 0x401980

Divisor Catalog (32)

1 2 4 8 16 32 37 64 74 128 148 296 592 887 1,184 1,774 2,368 3,548 4,736 7,096 14,192 28,384 32,819 56,768 65,638 113,536 131,276 262,552 525,104 1,050,208 2,100,416 4,200,832

Collatz Trajectory (105 steps to reach 1)

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

4,200,832 2,100,416 1,050,208 525,104 262,552 131,276 65,638 32,819 98,458 49,229 147,688 73,844 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742

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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