λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,736,100
2,736,100
22 × 52 × 27361
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 27361
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 5,937,554
Proper Divisor Sum 3,201,454
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2736089 ← → #2736131

Radix Representation

Decimal 2736100
Binary 1010011011111111100100 (22 bits)
Octal 0o12337744
Hexadecimal 0x29BFE4

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 27,361 54,722 109,444 136,805 273,610 547,220 684,025 1,368,050 2,736,100

Collatz Trajectory (55 steps to reach 1)

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

2,736,100 1,368,050 684,025 2,052,076 1,026,038 513,019 1,539,058 769,529 2,308,588 1,154,294 577,147 1,731,442 865,721 2,597,164 1,298,582 649,291 1,947,874 973,937 2,921,812 1,460,906 730,453 2,191,360 1,095,680 547,840 273,920 136,960 68,480 34,240 17,120 8,560 4,280 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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