λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,172,500
2,172,500
22 × 54 × 11 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^4 × 11 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 5,248,320
Proper Divisor Sum 3,075,820
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2172497 ← → #2172539

Radix Representation

Decimal 2172500
Binary 1000010010011001010100 (22 bits)
Octal 0o10223124
Hexadecimal 0x212654

Divisor Catalog (60)

1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 125 158 220 250 275 316 395 500 550 625 790 869 1,100 1,250 1,375 1,580 1,738 1,975 2,500 2,750 3,476 3,950 4,345 5,500 6,875 7,900 8,690 9,875 13,750 17,380 19,750 21,725 27,500 39,500 43,450 49,375 86,900 98,750 108,625 197,500 217,250 434,500 543,125 1,086,250 2,172,500

Collatz Trajectory (117 steps to reach 1)

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

2,172,500 1,086,250 543,125 1,629,376 814,688 407,344 203,672 101,836 50,918 25,459 76,378 38,189 114,568 57,284 28,642 14,321 42,964 21,482 10,741 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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