λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,116,100
2,116,100
22 × 52 × 7 × 3023
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 3023
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,249,664
Proper Divisor Sum 3,133,564
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2116099 ← → #2116117

Radix Representation

Decimal 2116100
Binary 1000000100101000000100 (22 bits)
Octal 0o10045004
Hexadecimal 0x204A04

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 3,023 6,046 12,092 15,115 21,161 30,230 42,322 60,460 75,575 84,644 105,805 151,150 211,610 302,300 423,220 529,025 1,058,050 2,116,100

Collatz Trajectory (73 steps to reach 1)

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

2,116,100 1,058,050 529,025 1,587,076 793,538 396,769 1,190,308 595,154 297,577 892,732 446,366 223,183 669,550 334,775 1,004,326 502,163 1,506,490 753,245 2,259,736 1,129,868 564,934 282,467 847,402 423,701 1,271,104 635,552 317,776 158,888 79,444 39,722 19,861 59,584 29,792 14,896 7,448 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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