λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,100,820
4,100,820
22 × 3 × 5 × 41 × 1667
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 41 × 1667
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,769,408
Proper Divisor Sum 7,668,588
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4100819 ← → #4100849

Radix Representation

Decimal 4100820
Binary 1111101001001011010100 (22 bits)
Octal 0o17511324
Hexadecimal 0x3E92D4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1,230 1,667 2,460 3,334 5,001 6,668 8,335 10,002 16,670 20,004 25,005 33,340 50,010 68,347 100,020 136,694 205,041 273,388 341,735 410,082 683,470 820,164 1,025,205 1,366,940 2,050,410 4,100,820

Collatz Trajectory (53 steps to reach 1)

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

4,100,820 2,050,410 1,025,205 3,075,616 1,537,808 768,904 384,452 192,226 96,113 288,340 144,170 72,085 216,256 108,128 54,064 27,032 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 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 2 1

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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